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.
dy/dx=________

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?
___________

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 dont 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^2-x2y) 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

Answer this Question

Related Questions

Calculus - Use implicit differentiation to find dy/dx if cos xy = 2x^2 - 3y. I&#...
Calculus - I am unsure of how to take the derivative of this equation. It may be...
Calculus (repost) - Use implicit differentiation to find dy/dx if cos xy = 2x^2...
Math, Calculus - help Please... Differential Equations Problems... please give ...
Match, Calculus - help Please... Differential Equations Problems... please give ...
Math - help Please... Differential Equations Problems... please give the ...
Calculus (pleas help!!!) - A) If x^2+y^3−xy^2=5, find dy/dx in terms ...
calc - 1 + x = sin(xy^2) find dy/dx by implicit differentiation 0 + 1 = cos(xy^2...
calculus - Can you give me a good website on the topic, slope fields and ...
math - If cos(3 x)6Ó14 x e^2 y=0, find [ dy/dx] using implicit ...

For Further Reading

First Name:
School Subject:
Answer: