SOLUTION: The curve for which dy/dx=a(x-p)(x-q) where a,p,q are constants, has turning point at (2,0) and (1,1) Determine the value of a using the information above.

Question 1044081: The curve for which dy/dx=a(x-p)(x-q) where a,p,q are constants, has turning point at (2,0) and (1,1)
Determine the value of a using the information above.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Turning points of a curve are points where the derivative .
===> the derivative is actually ,
and wouldn't matter whether p=2 and q=1, or p=1 and q=2.
===> ,
===> , after getting the integral.
Plugging in the respective coordinates of the point (2,0) into the last equation gives
. (Verify!)
Similarly, for the point (1,1), we get
. (Again verify!)
===> , c = -4, and the curve itself is
.

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