The Maclaurin polynomial of degree 4 for the function f(x) = cos(x) is %3D

Evaluate f(4 cos 0 – 0) do T/2

Consider the function y = (fogoh) = „sin(e) • State the equations of the three functions h(x), g(x) and f(x) that compose this function. a) h(x) = %3D b) g(x) = c) f(x) =

Express (text in image) for some constants A, B, and C.

Find all the x-intercepts of f(x)=cos(x) on the interval [0,2π)

Find a and d for the function f(x) = a cos(x) + d such that the graph of f matches the figure. a = |2 d = |-1 4- y 3- 2- 1 - 2n - IT

Consider the function f(x) = 6x + 12 sin x on the domain [0, 2π]. Use analytic techniques (calculus, algebra, trigonometry) to determine the intervals where the function is increasing and decreasing. Use exact values in your response. f(x) is increasing on f(x) is decreasing on

Find F as a function of x and evaluate it at x = 0, x = T/4, and x = T/2. F(x) cos 0 do F(x) F(0)

(3) Compute an approximation of f(x) = tanx by computing the coefficients Co, C₁, C2, C3 (a = 0). Then graph y = tan x and the obtained cubic polynomial in the same coordinate system. As you zoom on the origin (0, 0) do these two graphs get closer?

Find and verify the operator that annihilates the function f(x)=e-²x sinx