• Question 10 < > Given the function f(2) = 72 – 41, calculate the following...
Given the function: 6x - 1 2 < 0 63 - f(x) = 62 – 2 x > 0 Calculate the following values: f( - 1) = |-7 f(0) = f(2)
Question 15 1 pt 1 Details -3.2 - 7 Given the function f(x) = - 2x2 + 2x + 11 32 +4 Calculate the following values: <-3 -3<<4 f(4) = f(10) = f(-3) = fl - 9) = f(1) = f(2) = Question 16 1 pt 1 Details Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to two decimal places. y = 5x + 7, where...
We consider an even and periodic function of period p = 6 defined by: Calculate f (17.75). Justify your answer. f(x) = 2 + e-*, pour 0 < x < 3.
Sketch a graph of a function f having the given characteristics. f(0) = f(8) = 0 f'(x) < o if x < 4 f'(4) = 0 f'(x) > 0 if x > 4 f"(x) > 0
The density function of X is given by + br if 0 r < 1 f(x) = 0 1 otherwise If E(X) = 3, find a and b. (Hint: Both values are integer.) a = b =
QUESTION 10 Find the Laplace Transform of f(t) = 0 ift<1: f(t) = tiflsts 2: f(t) = 0 ift> 2. ign 5
Graph the function f ro -2<x<0 f(x) = +1 O 5x<1 1 1 sx<2 Find the Fourier series of fon the given interval. Give the number to which the Fourier series converges
We define a function by: and we suppose that f (x + 2) = f (x) for all x ∈ R. (a) Draw the graph of the function f (x) over the interval [−3, 3]. (b) Find the Fourier series for the function f (x). f(x) = { x +1 si -1 < x < 0; si 0 < x <1, 1
[4 Pts. Use the definition of continuity to show that the function f is continuous at <=0 10 g(x)= 3-4
2.10.4 Given a function f(x,y) on a compact region E in R^2, Find the maximum and minimum values of f on E, and the points at which these extreme values are attained. f(x, y) = x2 sin y + x, and E is the filled rectangle where -1 < x < 1 and | 0 < a < .