Receiving Helpdesk

what is j shaped growth curve

by Clarissa Sipes Published 3 years ago Updated 3 years ago

J-shaped Curve S-shaped Curve
The exponential growth of population ove ... The sigmoid or the logistic growth of po ...
It occurs when there are plenty of resou ... It occurs when the resources are limited ...
It occurs in two phases- log and lag pha ... It occurs in lag phase, log phase, decel ...
The stationary is not usually reached. The stationary phase is reached.
Jun 19 2022

J-shaped growth curve A curve on a graph that records the situation in which, in a new environment, the population density of an organism increases rapidly in an exponential or logarithmic form, but then stops abruptly as environmental resistance (e.g. seasonality) or some other factor (e.g. the end of the breeding ...

Full Answer

What is an J-shaped growth curve?

J-shaped growth curve A curve on a graph that records the situation in which, in a new environment, the population density of an organism increases rapidly in an exponential (logarithmic) form, but then stops abruptly as environmental resistance (e.g. seasonality) or some other factor (e.g. the end of the breeding phase) suddenly becomes effective.

What is the J curve theory in economics?

Related Terms. J Curve theory states that a country's trade deficit will worsen after currency depreciation. This is because the price of imports is higher relative to the fall in the volume of imports.

How are the J and S-shaped curves of population growth different from each other?

How Are The J and S-shaped Curves Of Population Growth Different From Each Other? The J-shaped and the S-shaped curves are different in the following ways: The exponential growth of population over time. The sigmoid or the logistic growth of population over time.

What is a J-curve?

A J-curve is a trendline that shows an initial loss immediately followed by a dramatic gain. In a chart, this pattern of activity would follow the shape of a capital "J". The J-curve effect is often cited in economics to describe, for instance, the way that a country’s balance of trade initially worsens following...

What is an J-shaped curve called?

An exponential growth curve is J-shaped.

Why exponential growth curve is J-shaped?

1: Exponential population growth: When resources are unlimited, populations exhibit exponential growth, resulting in a J-shaped curve. When resources are limited, populations exhibit logistic growth.

What does the J curve represent about population growth?

J curve can be defined as the j shaped growth curve that graphically represents a situation in a new environment where the population density of an organism increases at an exponential rate.

What is the J curve effect?

The J-curve effect is often cited in economics to describe, for instance, the way that a country’s balance of trade initially worsens following a devaluation of its currency, then quickly recovers and finally surpasses its previous performance.

Why is the J curve useful?

The J-curve is useful to demonstrate the effects of an event or action over a set period of time. Put bluntly, it shows that things are going to get worse before they get better.

What is the J curve in private equity?

The J-Curve in Private Equity. The term J-curve is used to describe the typical trajectory of investments made by a private equity firm. The J-curve is a visual representation of the plain fact that sometimes things will get worse before they get better.

image
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
8.3.21PHP Version4.03sRequest Duration2MBMemory UsageGET {post}Route
  • warninglog[19:45:08] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[19:45:08] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[19:45:08] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
  • warninglog[19:45:08] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[19:45:08] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[19:45:08] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[19:45:08] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[19:45:08] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[19:45:08] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • Booting (15.83ms)
  • Application (4.01s)
  • 1 x Application (99.6%)
    4.01s
    1 x Booting (0.39%)
    15.83ms
    7 templates were rendered
    • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
      Params
      0
      post
      1
      postContent
      2
      author
      3
      updated_at
      4
      bing_rich_snippet_text
      5
      bing_rich_snippet_link
      6
      bing_related_keywords
      7
      google_related_keywords
      8
      bing_news_title
      9
      bing_news_description
      10
      bing_videos
      11
      bing_images
      12
      bing_search_result_title
      13
      bing_search_result_description
      14
      bing_search_result_url
      15
      bing_paa_questions
      16
      bing_paa_answers
      17
      bing_slider_faq_questions
      18
      bing_slider_faq_answers
      19
      bing_pop_faq_questions
      20
      bing_pop_faq_answers
      21
      bing_tab_faq_questions
      22
      bing_tab_faq_answers
      23
      google_faq_questions
      24
      google_faq_answers
      25
      google_rich_snippet
      26
      google_search_result
      27
      indexedArray
      28
      total_images
      29
      total_videos
      30
      settings
      31
      url_current
      32
      menus
      33
      sidebar
    • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    uri
    GET {post}
    middleware
    web, checkdate
    as
    post.show
    controller
    App\Http\Controllers\Frontend\json_data\PostController@show
    namespace
    where
    file
    app/Http/Controllers/Frontend/json_data/PostController.php:18-166
    7 statements were executed3.99s
    • select * from `posts` where `published_at` <= '2025-07-08 19:45:08' and `slug` = 'what-is-j-shaped-growth-curve' and `posts`.`deleted_at` is null limit 1
      8.14ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
      Metadata
      Bindings
      • 0. 2025-07-08 19:45:08
      • 1. what-is-j-shaped-growth-curve
      Backtrace
      • 15. /app/Providers/RouteServiceProvider.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
      • 19. Route binding:39
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
    • select * from `json_post_contents` where `json_post_contents`.`post_id` = 216006 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
      12.19msmiddleware::checkdate:30receivinghelpdeskask
      Metadata
      Bindings
      • 0. 216006
      • 1. 0
      Backtrace
      • 19. middleware::checkdate:30
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
      • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
    • select * from `nova_menu_menus` where `slug` = 'header' limit 1
      6.83ms/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
      Metadata
      Bindings
      • 0. header
      Backtrace
      • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
      • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
      390μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Bindings
      • 0. 1
      Backtrace
      • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
      230μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Backtrace
      • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
      3.95s/app/View/Composers/SidebarView.php:22receivinghelpdeskask
      Metadata
      Bindings
      • 0. publish
      Backtrace
      • 14. /app/View/Composers/SidebarView.php:22
      • 15. /app/View/Composers/SidebarView.php:12
      • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
      • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
      • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
    • select * from `fake_users` where `fake_users`.`id` = 22478 limit 1
      8.62msview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
      Metadata
      Bindings
      • 0. 22478
      Backtrace
      • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
      • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    App\Models\FakeUser
    1
    Outl1ne\MenuBuilder\Models\MenuItem
    1
    Outl1ne\MenuBuilder\Models\Menu
    1
    App\Models\JsonPostContent
    1
    App\Models\Post
    11
        _token
        FpBJFHxzVppV0lPzOQ9pPSdG5ofcm5inZ7F7YeZY
        _previous
        array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-j-shaped-growth-curve" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /what-is-j-shaped-growth-curve
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:25 [ "cookie" => array:1 [ 0 => "XSRF-TOKEN=eyJpdiI6Ild0QTB6R3VSMVNjS0w2d25mc1pxSVE9PSIsInZhbHVlIjoiTUJLS3FBS210RTh5R2p2WHE1WSs4SjNiaXNtM0ppQXJBcG9MdmdQeDlzUnd1cXY0UVJkMjlISTNiWlpscEczRUp1a2NjTGJ4a05SSjMraGU2T0FDaExRSmZBYVNyY1NCejBsZ2E3RlA4RFNsbHdXZVA1Q1FMeEpUa2x2ZnpRK1giLCJtYWMiOiJhZTgxNDYwMzA0ZDdlN2VhYzdmNWY5ZDFiNDU1YTFhZDk1ZTNkMTI5ODBmMjU3YmYxMzIyMmI0MDM1MDlkNjJkIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6ImptZnprbFJybTJqUXFFQ0pUVCtrZHc9PSIsInZhbHVlIjoiR0pyc2N1dUFNZ3JNVFFvVFpmREJKWDNzR2hQNkxQaTVBRUM2cWxGYjd5WXR2ZlF5OFZLNU40WklDY1VXY3EzU0hVL0xEVzRQTnVHZm5Jb3ZuUlhjSUNZNTVkQ1V1R1gvdGdGdEVxUkhYZGRKclUxd0pGSFJsRElCMlYzU3BPb3ciLCJtYWMiOiJmZDBjNDM4YmI0Mzc1OWI0MGZkMTFhYWZjNjUwNWVhYWFiZmE1MmE2M2RhNmE3NGQ4ZDc2MGU5OTFhNWNlYTQzIiwidGFnIjoiIn0%3D; _pk_id.64.7c30=b918328193b2e4b1.1751984106.; _pk_ses.64.7c30=1XSRF-TOKEN=eyJpdiI6Ild0QTB6R3VSMVNjS0w2d25mc1pxSVE9PSIsInZhbHVlIjoiTUJLS3FBS210RTh5R2p2WHE1WSs4SjNiaXNtM0ppQXJBcG9MdmdQeDlzUnd1cXY0UVJkMjlISTNiWlpscEczRUp1a2NjT" ] "cf-ipcountry" => array:1 [ 0 => "US" ] "cf-connecting-ip" => array:1 [ 0 => "216.73.216.161" ] "cdn-loop" => array:1 [ 0 => "cloudflare; loops=1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "accept-encoding" => array:1 [ 0 => "gzip, br" ] "cf-ray" => array:1 [ 0 => "95c031287c04a229-YYZ" ] "priority" => array:1 [ 0 => "u=0, i" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "cf-visitor" => array:1 [ 0 => "{"scheme":"https"}" ] "connection" => array:1 [ 0 => "close" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "216.73.216.161, 108.162.241.28" ] "x-server-addr" => array:1 [ 0 => "154.12.239.204" ] "host" => array:1 [ 0 => "receivinghelpdesk.com" ] ]
        request_server
        0 of 0
        array:56 [ "USER" => "runcloud" "HOME" => "/home/runcloud" "SCRIPT_NAME" => "/ask/index.php" "REQUEST_URI" => "/ask/what-is-j-shaped-growth-curve" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/what-is-j-shaped-growth-curve" "REMOTE_PORT" => "59402" "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php" "SERVER_ADMIN" => "you@example.com" "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "CONTEXT_PREFIX" => "" "REQUEST_SCHEME" => "http" "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "REMOTE_ADDR" => "108.162.241.28" "SERVER_PORT" => "80" "SERVER_ADDR" => "127.0.0.1" "SERVER_NAME" => "receivinghelpdesk.com" "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f" "SERVER_SIGNATURE" => "" "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib" "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin" "HTTP_COOKIE" => "XSRF-TOKEN=eyJpdiI6Ild0QTB6R3VSMVNjS0w2d25mc1pxSVE9PSIsInZhbHVlIjoiTUJLS3FBS210RTh5R2p2WHE1WSs4SjNiaXNtM0ppQXJBcG9MdmdQeDlzUnd1cXY0UVJkMjlISTNiWlpscEczRUp1a2NjTGJ4a05SSjMraGU2T0FDaExRSmZBYVNyY1NCejBsZ2E3RlA4RFNsbHdXZVA1Q1FMeEpUa2x2ZnpRK1giLCJtYWMiOiJhZTgxNDYwMzA0ZDdlN2VhYzdmNWY5ZDFiNDU1YTFhZDk1ZTNkMTI5ODBmMjU3YmYxMzIyMmI0MDM1MDlkNjJkIiwidGFnIjoiIn0%3D; askhelpdesk_session=eyJpdiI6ImptZnprbFJybTJqUXFFQ0pUVCtrZHc9PSIsInZhbHVlIjoiR0pyc2N1dUFNZ3JNVFFvVFpmREJKWDNzR2hQNkxQaTVBRUM2cWxGYjd5WXR2ZlF5OFZLNU40WklDY1VXY3EzU0hVL0xEVzRQTnVHZm5Jb3ZuUlhjSUNZNTVkQ1V1R1gvdGdGdEVxUkhYZGRKclUxd0pGSFJsRElCMlYzU3BPb3ciLCJtYWMiOiJmZDBjNDM4YmI0Mzc1OWI0MGZkMTFhYWZjNjUwNWVhYWFiZmE1MmE2M2RhNmE3NGQ4ZDc2MGU5OTFhNWNlYTQzIiwidGFnIjoiIn0%3D; _pk_id.64.7c30=b918328193b2e4b1.1751984106.; _pk_ses.64.7c30=1XSRF-TOKEN=eyJpdiI6Ild0QTB6R3VSMVNjS0w2d25mc1pxSVE9PSIsInZhbHVlIjoiTUJLS3FBS210RTh5R2p2WHE1WSs4SjNiaXNtM0ppQXJBcG9MdmdQeDlzUnd1cXY0UVJkMjlISTNiWlpscEczRUp1a2NjT" "HTTP_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "216.73.216.161" "HTTP_CDN_LOOP" => "cloudflare; loops=1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_ACCEPT_ENCODING" => "gzip, br" "HTTP_CF_RAY" => "95c031287c04a229-YYZ" "HTTP_PRIORITY" => "u=0, i" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_CF_VISITOR" => "{"scheme":"https"}" "HTTP_CONNECTION" => "close" "HTTP_X_FORWARDED_PROTO" => "https" "HTTP_X_FORWARDED_FOR" => "216.73.216.161, 108.162.241.28" "HTTP_X_SERVER_ADDR" => "154.12.239.204" "HTTP_HOST" => "receivinghelpdesk.com" "HTTPS" => "on" "REDIRECT_STATUS" => "200" "REDIRECT_HTTPS" => "on" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/ask/index.php" "REQUEST_TIME_FLOAT" => 1751984108.8897 "REQUEST_TIME" => 1751984108 ]
        request_cookies
        0 of 0
        array:4 [ "XSRF-TOKEN" => "FpBJFHxzVppV0lPzOQ9pPSdG5ofcm5inZ7F7YeZY" "askhelpdesk_session" => "raa8WHwPauJ6wZxmiHhMDBxrn7dbZGgAtOVMVYEm" "_pk_id_64_7c30" => null "_pk_ses_64_7c30" => null ]
        response_headers
        0 of 0
        array:7 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "private, must-revalidate" ] "date" => array:1 [ 0 => "Tue, 08 Jul 2025 14:15:08 GMT" ] "pragma" => array:1 [ 0 => "no-cache" ] "expires" => array:1 [ 0 => -1 ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6InlmcTIwL2t0elJtTEpXd0g5aXZMUnc9PSIsInZhbHVlIjoiTWl1OFBCeXVxRlIzVjVWMkc4ZFlxYTBJR29OZHNyWi9UaDVRQml1elpVTUxkU01YbjhuL1lxbmVpdGsrWHdxWVNzZFJtQWpSRGRSQU1KOXVRajUwM3NMUmNvK2NiUlBWYUtiMkdSbGdYOFNSTUhYMkZHSEtrN1NhNUM3RzFtYjEiLCJtYWMiOiI2ODYxMWEwM2RlNmZmZmY4Mzc0MmFhYTQzODE5YWExN2JlOGM5YjNiMDk1OGM3MTY1YmRkMjk5ZTc2MzE0YmE5IiwidGFnIjoiIn0%3D; expires=Tue, 08-Jul-2025 16:15:12 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6InlmcTIwL2t0elJtTEpXd0g5aXZMUnc9PSIsInZhbHVlIjoiTWl1OFBCeXVxRlIzVjVWMkc4ZFlxYTBJR29OZHNyWi9UaDVRQml1elpVTUxkU01YbjhuL1lxbmVpdGsrWHdxWVNzZFJtQ" 1 => "askhelpdesk_session=eyJpdiI6Ii96TEd3bXdLVzd5blVpbDVzSGJweHc9PSIsInZhbHVlIjoiLzBjU3pSd1g2SlZVbFFQSnZmY2hYa1lvcnhjYVdQQi9kdnYwc0tPd3RsWDI0cGRIREcxM1JlUkU2cUtHWEg3Ty9GemhoTHI2WDk4T2RDbGNoYlFTTXoyYkhqeUhZY3VKZVZYUjlxM0pGTFZLS25Idk0yS3poLzYycVVKaTRUQTciLCJtYWMiOiJmYjUzMmI0NTcwMGZmNGM4NmZiNjc4NTRhZmY2OTI4NDFlZjg5Mjk2YzA5NTMzMjE2ZGVlMTFkNDIzYjAzNDA3IiwidGFnIjoiIn0%3D; expires=Tue, 08-Jul-2025 16:15:12 GMT; Max-Age=7200; path=/; httponly; samesite=laxaskhelpdesk_session=eyJpdiI6Ii96TEd3bXdLVzd5blVpbDVzSGJweHc9PSIsInZhbHVlIjoiLzBjU3pSd1g2SlZVbFFQSnZmY2hYa1lvcnhjYVdQQi9kdnYwc0tPd3RsWDI0cGRIREcxM1JlUkU2cUtHWEg3" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6InlmcTIwL2t0elJtTEpXd0g5aXZMUnc9PSIsInZhbHVlIjoiTWl1OFBCeXVxRlIzVjVWMkc4ZFlxYTBJR29OZHNyWi9UaDVRQml1elpVTUxkU01YbjhuL1lxbmVpdGsrWHdxWVNzZFJtQWpSRGRSQU1KOXVRajUwM3NMUmNvK2NiUlBWYUtiMkdSbGdYOFNSTUhYMkZHSEtrN1NhNUM3RzFtYjEiLCJtYWMiOiI2ODYxMWEwM2RlNmZmZmY4Mzc0MmFhYTQzODE5YWExN2JlOGM5YjNiMDk1OGM3MTY1YmRkMjk5ZTc2MzE0YmE5IiwidGFnIjoiIn0%3D; expires=Tue, 08-Jul-2025 16:15:12 GMT; path=/XSRF-TOKEN=eyJpdiI6InlmcTIwL2t0elJtTEpXd0g5aXZMUnc9PSIsInZhbHVlIjoiTWl1OFBCeXVxRlIzVjVWMkc4ZFlxYTBJR29OZHNyWi9UaDVRQml1elpVTUxkU01YbjhuL1lxbmVpdGsrWHdxWVNzZFJtQ" 1 => "askhelpdesk_session=eyJpdiI6Ii96TEd3bXdLVzd5blVpbDVzSGJweHc9PSIsInZhbHVlIjoiLzBjU3pSd1g2SlZVbFFQSnZmY2hYa1lvcnhjYVdQQi9kdnYwc0tPd3RsWDI0cGRIREcxM1JlUkU2cUtHWEg3Ty9GemhoTHI2WDk4T2RDbGNoYlFTTXoyYkhqeUhZY3VKZVZYUjlxM0pGTFZLS25Idk0yS3poLzYycVVKaTRUQTciLCJtYWMiOiJmYjUzMmI0NTcwMGZmNGM4NmZiNjc4NTRhZmY2OTI4NDFlZjg5Mjk2YzA5NTMzMjE2ZGVlMTFkNDIzYjAzNDA3IiwidGFnIjoiIn0%3D; expires=Tue, 08-Jul-2025 16:15:12 GMT; path=/; httponlyaskhelpdesk_session=eyJpdiI6Ii96TEd3bXdLVzd5blVpbDVzSGJweHc9PSIsInZhbHVlIjoiLzBjU3pSd1g2SlZVbFFQSnZmY2hYa1lvcnhjYVdQQi9kdnYwc0tPd3RsWDI0cGRIREcxM1JlUkU2cUtHWEg3" ] ]
        session_attributes
        0 of 0
        array:4 [ "_token" => "FpBJFHxzVppV0lPzOQ9pPSdG5ofcm5inZ7F7YeZY" "_previous" => array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-j-shaped-growth-curve" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]