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

- math - A) If x^2+y^3−xy^2=19, find dy/dx in terms of x and y. dy/dx=...
- calculus - If x^{2} + y^3 - x y^2 = 5, find dy/dx in terms of x and y. Using ...
- Calculus (pleas help!!!) - A) If x^2+y^3−xy^2=5, find dy/dx in terms of x ...
- calculus - a) If x3 + y3 - xy2 = 5, find dy/dx. (b) Using your answer to part (a...
- Calculus - Consider the curve defined by y + cosy = x +1 for 0 =< y =< 2pi...
- Calculus - Consider the function f(x)=sin(5x)/x. (a) Fill in the following table...
- Calculus - Consider the function f(x)=(4^x−1)/x. (a) Fill in the ...
- Calculus - Consider the function f(x)=(4^x−1)/x. (a) Fill in the ...
- Calculus Please Help - Find a formula for a curve of the form y=e^((−(x&#...
- Math - An equation of the tangent line to the curve y=f(x)=x(4cosx−6sinx) ...