Calculus (pleas help!!!)

posted by .

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?
___________



For the first part I get (-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

What am I doing wrong in the last 3 parts?

  • Calculus (pleas help!!!) -

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

    2 x dx + 3 y^2 dy - x (2 y dy) - y^2dx = 0

    (3 y^2 -2 x y )dy = (y^2 - 2x)dx

    dy/dx = (y^2-2x)/(3y^2-2xy) agree

  • Calculus (pleas help!!!) -

    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:
    =============================
    No !
    That first column is various values of x.
    You compute the column of y s for those different values of x.
    You do it by using the point (1,2) for initial (xo,yo)
    then compute dy/dx there.
    dy/dx = (y^2-2x)/(3y^2-2xy)
    = (4-2)/(12-4) = 2/8 = 1/4
    so for a point (x,y) close to (1,2)
    y = yo + (dy/dx) (x-xo)
    for example for x = 1.02:
    y = 2 + (1/4)(1.02-1) = 2+.02/4 = 2.005
    That might get you headed in the right direction

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Consider the function f(x)=sin(5x)/x. (a) Fill in the following table of values for f(x): x= -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 f(x)= ( I need the values of f(x) for each x) (b) Based on your table of values, what would …
  2. Calculus

    Consider the function f(x)=(4^x−1)/x. (a) Fill in the following table of values for f(x): x= -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 f(x)= I the the falues of f(x) for each interval... (b) Based on your table of values, …
  3. Calculus

    Consider the function f(x)=(4^x−1)/x. (a) Fill in the following table of values for f(x): x= -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 f(x)= I the the falues of f(x) for each interval... (b) Based on your table of values, …
  4. calculus

    If x^{2} + y^3 - x y^2 = 5, find dy/dx in terms of x and y. 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. Finally, find the y-value for x=0.96 by substituting …
  5. Calculus Please Help

    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 ______ …
  6. Calculus (pleas help!!!)

    Find a formula for a curve of the form y=e^((−(x−a)^2)/b) for b greater than 0 with a local maximum at x=−5 and points of inflection at x=−8 and x=−2.
  7. Calculus

    Consider the curve defined by y + cosy = x +1 for 0 =< y =< 2pi.... a. Find dy/dx in terms of y. *I got 1/(y-siny) but I feel like that's wrong. b. Write an equation for each vertical tangent to the curve. c. find d^2y/dx^2 in …
  8. calculus

    a) If x3 + y3 - xy2 = 5, find dy/dx. (b) Using your answer to part (a), make a table of approximate y-values of points on the curve near x = 1, y = 2. Include x = 0.96, 0.98, 1, 1.02, 1.04. (c) Find the y-value for x = 0.96 by substituting …
  9. math

    A) If x^2+y^3−xy^2=19, 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=3. 0.96 ______ 0.98 ______ 1.02 ______ …
  10. Algebra check answers

    Choose the best definition for the following term: variable A. A letter that holds the place for some unknown value in mathematics*** B. A process where you must look for terms that have identical variable parts and then combine their …

More Similar Questions