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OpenStudy (anonymous):
find the value of k such that the curve y=k(x^.5)-32 and line y=2x are tangent at a comment point?
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OpenStudy (anonymous):
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OpenStudy (anonymous):
At the point of tangency the functions will have the same value and the same slope. So find the derivatives of the two functions. Then set y1=y2 and y1'=y2'. You will have two equations in x and k. Thus you can solve for x and k. (I got x=k=16.) Nice problem.
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