text: # The curve y=tan(x) crosses the line y=10x at a​ non-zero x-value between x=0 and x=π/2. Use​ Newton's method to find where the curves intersect.
  
  Question
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  The curve y=tan(x) crosses the line y=10x at a​ non-zero x-value between x=0 and x=π/2. Use​ Newton's method to find where the curves intersect.
  
  check_circle
  
  Step 1
  
  Given,
  
  Step 2
  
  Formula used:
  
  Step 3
  
  To find the x-coordinate of the intersection of y = tan x and y = 10x where x ϵ (0, π / 2).
  
  So, the function will be
  
  f(x) = tan x – 10x
  
  and f ’(...
  
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explanation: The document contains a math question that asks to find the intersection point of the curves \( y = \tan(x) \) and \( y = 10x \) using Newton's method. The document also provides a step-by-step solution to the problem.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # The curve y=tan(x) crosses the line y=10x at a​ non-zero x-value between x=0 and x=π/2. Use​ Newton's method to find where the curves intersect.
  
  Question
  44 views
  
  The curve y=tan(x) crosses the line y=10x at a​ non-zero x-value between x=0 and x=π/2. Use​ Newton's method to find where the curves intersect.
  
  check_circle
  
  Step 1
  
  Given,
  
  Step 2
  
  Formula used:
  
  Step 3
  
  To find the x-coordinate of the intersection of y = tan x and y = 10x where x ϵ (0, π / 2).
  
  So, the function will be
  
  f(x) = tan x – 10x
  
  and f ’(...
  
  ### Want to see the full answer?
  
  See Solution
  
  #### Want to see this answer and more?
  
  Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*
  
  See Solution
  *Response times may vary by subject and question.
  Tagged in
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question that asks to find the intersection point of the curves \( y = \tan(x) \) and \( y = 10x \) using Newton's method. The document also provides a step-by-step solution to the problem.
  
  Label: question-and-answer