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.
dy/dx=________
B) Using your answer for dy/dx, fill in the following table of approximate yvalues of points on the curve near x=1 y=2.
0.96 ______
0.98 ______
1.02 ______
1.04 ______
C) Finally, find the yvalue 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?
___________

Calculus Please Help  bobpursley, Tuesday, March 15, 2011 at 6:12pm
I am not going to do this for you. What are you stuck on, or don't understand?

Calculus Please Help  Catherine, Tuesday, March 15, 2011 at 6:27pm
In the first part... I got (2x+y^2)/(3y^2+x2y) but apparently that's wrong which will make everything else wrong.... I just need to know how to do that part right...

Calculus Please Help  Catherine, Tuesday, March 15, 2011 at 7:01pm
I see what is wrong with my equation... now I have (2x+y^2)/(3y^2x2y) and for the second part I tried to plug 1 for x and all the other values for y and then in the third part I plugged 2 for y and 0.96 for x and I got them all wrong:
my values are:
0.96 = 1.2765
0.98= 1.1285
1.02= 0.8875
1.04= 0.7885
and for part C) 0.255
and For part D) 1.5315
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