For a function y = f(x), show that the curvature is given by к(x) = Hint: Parameterize the function as r(x) = (x, f(x)). |f"(x)| 3/2 (1 + (f'(x))²) ³/

Find the tangent line to the curve xy = x+y+1 at (3,2)

Let f(x)be defined on the closed interval [a, b] such that the point a secant line passes through points (a, f(a)) and (b, f(b)) and the distance between a and b is y, using the definition of the derivative, find the derivative off from the given secant line.

Find the exact length of the curve (x =t?cost ly=r?sint Osts2n 을 (T2 +4)3/2_4] a. l(m² + 43/2 – 1] (n² + 1)³/2 – 1] C. (n? + 4)3/2 – 1] d. 3/2 + е. a Ос e 이3 4|3 b.