The graph of y(x) is shown to the right. Identily the intervals on which f'(x) <0....
The graph of y = f(x) is shown to the right. Identify the intervals on which f'(x) > 0. a b d fah IT с Which of the following shows every interval on which f'(x) > 0? Choose the correct answer below. O A. (ac), (d.f) O C. (5.c), (e,f), (g,h) O B. (a.c), (e,f), (g,h) OD. (5.c), (d,f), (g,h)
The graph of y=f(x) is shown to the right. Identify the intervals on which f(x) is increasing 1h Which of the following shows every interval on which f(x) is increasing? Choose the correct answer below A. (b.c), (e,t). (g.h) O C. (5.c), (0,1),(g,h) OB. (a.c), (e.f). (g.h) OD. (a.c), (d.1)
1. Solve the following DE: (50 pts) (1, if 0<x51 a) y+ y = f(x), y(0) = 3 where f(x)= 0, if x>1 (10 pts)
y = f(0 The graph of f is shown in the figure to the right. Let A(x) = f(t) dt and F(x) = f(t) dt be two area functions for f. Evaluate the Area = 18 following area functions. Area = 9 a. A(-2) b. F(8) c. A(4) d. F(4) e. A(8) + Area = 8 a. A( - 2) = b. F(8)= (Simplify your answer.) (Simplify your answer.) c. A(4) = (Simplify your answer.) d. F(4) = (Simplify your...
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
Find the arc length Lof x = f(t) = 9t + 14 y = g(t) = Si Vu – 81du where 0 < t < 16 =
Solve the inequality f(x) <0, where f(x) = - x2(x + 4), by using the graph of the The solution set for f(x) <0 is. (Type your answer in interval notation.) function. Ay 4- 2- х 500 -8 -6 -4 -2 2 4. 6 -8- -104 -12-
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
The directional derivative of the function f(x, y) = 2x In(y) in the direction v =< 0,1 > at the point (1,1) is equal to 2. Select one: O True False
The graph of f(x) is shown. At which of the point(s) is f '(x) >0 and f "(x) < 0? List all points where both f '(x) > 0 and f '(x) <0. If there is only one point where this is true, list it. If there is more than one point, list them all and separate the answers by commas. If there is no such point, type N.