Math--Calculus

Let y = f(x) be the continuous function that satisfies the equation x^4 - (5x^2)(y^2) + 4y^4 = 0 and whose graph contains the points (2,1) and (2,2). Let L be the line tangent to the graph of f at x = 2.
(a) Find and expression for y'.
(b) Write an equation for the line L.
(c) Give the coordinates of a point that is on the graph of f but is not on line L.
(d) Give the coordinates of a point that is on the line L but is not on the graph of f.

  1. 0
  2. 4
asked by Sophee
  1. I will be happy to critique your thinking or work.

    posted by bobpursley
  2. I think a0 is (-4x^3+10xy^2)/(-10x^2y+16y^3)
    and that makes b y=1/2x. However, I can't seem to get anything for c nor d. How do I start?

    posted by Sophee
  3. Hmm. Don't know...

    posted by keke_luvs_u

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math11

    Hello, I don't know how to do this, please help. Thank you. 1).Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2 − 3x + 2, [0, 2] Yes, it does not matter if f is continuous or
  2. calculus

    1. Let y = f(x) be the continuous function that satisfies the equation x^4-5x^2y^2+4y^4=0 and whose graph contains the points (2, 1) and (-2, -2). Let l be the line tangent to the graph of f at x = 2. a. Find an expression for
  3. calculus

    1. Let y = f(x) be the continuous function that satisfies the equation x^4-5x^2y^2+4y^4=0 and whose graph contains the points (2, 1) and (-2, -2). Let l be the line tangent to the graph of f at x = 2. a. Find an expression for
  4. calculus

    Q.NO.3: Show that the function z=tan^-1(2xy/x^2-y^2)satisfies Laplace’s equation; then make the substitution x=r cosθ, y= r sinθ and show that the resulting function of satisfies the polar form of laplace’s equation
  5. Calculus

    Explain, using the theorems, why the function is continuous at every number in its domain. F(x)= 2x^2-x-3 / x^2 +9 A) F(x) is a polynomial, so it is continuous at every number in its domain. B) F(x) is a rational function, so it
  6. Calculus (Continuity)

    If the following function is continuous, what is the value of a + b? f(x) = {3x^2 - 2x +1, if x < 0 a cos(x) + b, if 0
  7. Calculus (Continuity)

    If the following function is continuous, what is the value of a + b? f(x) = {3x^2 - 2x +1, if x < 0 a cos(x) + b, if 0
  8. calculus

    hi! just needed help on an FRQ for ap calculus ab. let me know if you have any questions for me. I'm just really confused as far as what I am meant to do. If you could walk me through it that would be amazing. THANKS!! A
  9. Calculus

    Let f be a continuous function on the interval [0,2] which satisfies integral of f(x)dx=5 when b is 2 and a is 0. Give this information compute the definite integral f(2y)dy when b is 1 and a is 0. Solve this
  10. Calculus

    consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on the given interval? If it is continuous, type "continuous". If not, give the t -value where the function is not continuous. Is the t value 0
  11. Calculus

    consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on the given interval? If it is continuous, type "continuous". If not, give the t -value where the function is not continuous. The function is not continous and it

More Similar Questions