Posted by **Jaime** on Saturday, December 8, 2007 at 11:08pm.

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.

## Answer this Question

## Related Questions

- math: repost with corrections - p. 942 #5 This is a three-part question: a. the ...
- math vectors - Use a specific example to prove that the cross product is also ...
- Vectors - Use a specific example to prove that the cross product is also not ...
- Math - Consider the paraboloid z=x^2+y^2. The plane 3x-2y+z-7=0 cuts the ...
- Math - Consider the paraboloid z=x^2+y^2. The plane 3x-2y+z-7=0 cuts the ...
- Precalc - Given the plane 3x+2y+5z=54 and the points P0(6, 8, 4)[on plane] and ...
- Math - Me, again... Please help me. Thank you. Assume a plane is flying directly...
- math - Here is the question I have to answer. Find the area of the specified ...
- Math - Equations of plane(check) - Consider the plane that contains points A(2,...
- Math - Equations of plane(check) - Consider the plane that contains points A(2,3...