math

posted by .

Hi

This is a three-part question:

a. the graph y = f(x) in the xy-plane has parametrization x=x, y=f(x), and vector formula r(x) = xi + f(x)j. Use this to show that if f is twice-differentiable, then
((absvalue f''(x))/[1+((f'(x))^2]^3/2

b. use the formula for k in part a to find the curvature of y = ln(cosx) when -pi/2 < x < pi/2.

c. show that the curvature is zero at the point of inflection.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math: repost with corrections

    p. 942 #5 This is a three-part question: a. the graph y = f(x) in the xy-plane has parametrization x=x, y=f(x), and vector formula r(x) = xi + f(x)j. Use this to show that if f is twice-differentiable, then k(x) = ((absvalue f''(x))/[1+((f'(x))^2]^3/2 …
  2. Math

    Consider the paraboloid z=x^2+y^2. The plane 3x-2y+z-7=0 cuts the paraboloid, its intersection being a curve. What is the "the natural" parametrization of this curve?
  3. Math

    Consider the paraboloid z=x^2+y^2. The plane 3x-2y+z-7=0 cuts the paraboloid, its intersection being a curve. What is the "the natural" parametrization of this curve?
  4. General Calculus Question

    On a graph what ways can it not be differentiable?
  5. Vectors

    Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-sapce to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c.
  6. math vectors

    Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-space to show that Vector a×(Vector b × Vector c) is not equal to (Vector a × Vector b) × Vector c. Can you …
  7. Physics

    Part A of this question asks for the sum of vector A = 3x+5y and vector B = 1x-3y. I did this and got the vector A + vector B = 4x+2y. Part B then asks what the magnitude and direction of vector A + vector B?
  8. math

    f(x) = -16x2 + 24x + 16 Part A: What are the x-intercepts of the graph of f(x)?
  9. Math (Continuous/Differentiable)

    goo.gl/photos/2RPU1dAWoKzUn4Pf8 1. Which of the above functions are not continuous where they are defined?
  10. Calculus differentiable and continous identify

    1. Which of the above functions are not continuous where they are defined?

More Similar Questions