anonymous
  • anonymous
If the line y=4x+3 is tangent to the curve y=x^2+c, then c is?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
differentiate the curve y, we'll get the slope of tangent which is 2x=4. so now we know that the tangent is at a point x=2 and y=4(2)+3=11. Substituting the value of this point (2,11) into the curve equation, 11=2^2+c thus c=7. :)
anonymous
  • anonymous
how did you get 2x=4?
anonymous
  • anonymous
the gradient of tangent line is 4 meanwhile the slope of tangent is 2x. they are the same :)

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anonymous
  • anonymous
ohhh ok...Thank you! :)
anonymous
  • anonymous
welcome :)

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