(a) Find the critical points of f on the given interval. (b) Determine the absolute extreme values of f on the given interval. (c) Use a graphing utility to confirm your conclusions. f(x) = 4x2 + 4 cos x on[-1,1] (a) Find the critical points, if any, of f(x) on [-1,1]. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The critical point(s) is(are) x = (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) O B. There are no critical points.

Q: he absolute extrema of J(*) = ,2+2x +9 n(-1,5]. %3D

A: The given function is  f(x)=xx2+2x+9 on [-1,5]

Q: Is the function f (x) = x³ – 3 odd, even, or neither even nor odd? - Odd Even Neither even nor odd

A: A function f(x) is even if f(-x) = f(x) for all x ∈ R. A function f(x) is odd if f(-x) = -f(x) for…

Q: Use the IVT to show that f (x) = x3 + x takes on the value 9 for some x in [1, 2].

A:

Q: Let f : R → R, where f(n) = 5 . Answer the following questions. 7x²+3*

A:

Q: (3) c) Make two separate plots of the function f(x)= 0.01x* -0.45x +0.5x-2 one plot for -4sxs4, and…

A:

Q: Let n be a positive integer. Define the function fn(z) by dzn (2²+2x+2)". Find the value of fn(-1 +…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: Consider the function f(x) = 2x + 5x-¹. For this function there are four important intervals: (-∞,…

A: The given function is fx=2x+5x-1. We have to find the critical points, increasing and decreasing…

Q: The domain of the function f(x)= cosh (x/ 18) is Select one: O [-18, 18 ] OR-{18} OR-{-18, 18 } O […

A: Given- fx=cosh-1x8 To Find- The domain of the function.

Q: Consider the function f(x) = cos(x2 - 2) + 1 on the interval (-3,3). Calculate the two x-intercepts…

A: f(x)=cos(x2-2)+10=cos(x2-2)+1cos(x2-2)=-1 As we already know, the solution to the trigonometric…

Q: Find the domain of the function f (x) = x2-1 R+ R. (-1,1) R\{-1,1}

A: Givenf(x)=xx2-1

Q: if f(x)=cospix, find the extact value of a such that f(1)-f(-1)/1-(-1)=cos a.

A:

Q: 5) Find all points of inflection in the function g(x) = (x – 7) 13 on the interval [0, 10].

A: The points of inflection are those points at which the second order derivative of the function is…