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anonymous

  • 5 years ago

If the line y=4x+3 is tangent to the curve y=x^2+c, then c is?

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  1. anonymous
    • 5 years ago
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    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. :)

  2. anonymous
    • 5 years ago
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    how did you get 2x=4?

  3. anonymous
    • 5 years ago
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    the gradient of tangent line is 4 meanwhile the slope of tangent is 2x. they are the same :)

  4. anonymous
    • 5 years ago
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    ohhh ok...Thank you! :)

  5. anonymous
    • 5 years ago
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    welcome :)

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