February 20, 2017

Homework Help: Calculus Please Help

Posted by Catherine on Tuesday, March 15, 2011 at 6:09pm.

A) If x^2+y^3−xy^2=5, find dy/dx in terms of x and y.

B) Using your answer for dy/dx, fill in the following table of approximate y-values of points on the curve near x=1 y=2.

0.96 ______
0.98 ______
1.02 ______
1.04 ______

C) Finally, find the y-value for x=0.96 by substituting x=0.96 in the original equation and solving for y using a computer or calculator.
y(0.96)= ________

D) How large (in magnitude) is the difference between your estimate for y(0.96) using dy/dx and your solution with a computer or calculator?

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