Let f(x) = x2 – 5x – 6 and F(x) = | S4) f(t) dt. (a) Find the critical points of F and determine whether they are local min- ima or local maxima. (b) Find the points of inflection of F and determine whether the concavity changes from up to down or from down to up. (c) GU Plot y = f(x) and y firm your answers to (a) and (b). F(x) on the same set of axes and con-

Q: Find all critical points of the function f(x)=x√1−x2.

A:

Q: Find all local maxima and minima of the function f (x, y). f (x, y) = (x2+y2)1/2 Please give a…

A:

Q: Find the absolute extrema (max and min) of the function f(x) = ex 2−4 on [ -1,2]

A:

Q: Let g(x) = = f(t) dt, where f is the function whose graph is shown. = 8 6 4 2 -2 -4 2 4 f 00 8 (a)…

A:

Q: F(x) F(2) (5) F(7) - L² (t³ + 6 t F(x)= (t³ + 6t-5) dt

A:

Q: If f(x) is a linear function, f( – 5) = - 5, and f(5) = – 3, find an equation for f(x) Submit…

A:

Q: Find the x that maximizes the function f defined as f(x) = x¹/2 - 2x 1/3 1/4 O 1/8 1/16

A: The derivative will be zero at the minimum and maximum points because the line turns to be parallel…

Q: Part B and C

A: Consider the provided question, We have to solve the part (b) and (c)). (b) The objective is to find…

Q: Let f(x) = V1+x. Estimate the change in f from x = 7 to x = 7.5 using linear approximation. %3D

A:

Q: Find the local maximum and minimum values of the function f (z) = z+ 4/I-z.

A:

Q: Let g(x) = | F(t) dt, where fis the function whose graph is shown. y f 12 1 (a) Evaluate g(x) for x…

A: Given The given integral is  and the given graph is  Apply formula  The area of the right angle…