please answer both problems. 3x + 6, if x < 0 5. Sketch the graph of...
3x +6, if x so (8 pts) 5. Sketch the graph of f(x)= 1 *+3, ifr>0 (9 pts) 6. The number of grams Q of a substance after 7 hours is given by Q=Qe6291How long will it take for 100 grams of the substance to decay to 60 grams? Round your answer to 3 decimal places. [1 27 (9 pts) 7. Find A ', by hand, if A = 1 2 5 -1 1 2
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
* For the function f(x) = (3x + 5 if x 20 6 if x < 0. find f(-10)
19. Graph the inequality 3x + 2y < 6.
solve both please Sketch the region enclosed by y = 3x and y 6.0². Find the area of the region. Find the average value of the function f(x) 3x4 on the interval 0 < x < 2
Sketch the graph that possesses the characteristics listed below. f'(3) = 0,1" (3) <0, f(3) = 5; f'(-1)= 0, f'(-1)>0, f(-1)= -1;f" (1) = 0, f(1) = 2 Choose the correct graph below. OA. OB O C. OD. 10
6. If 3x – 3 5 f(x) < x2 – 3x + 6 for x 2 0, find lim f(x). X-3
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
Sketch a graph of the piecewise defined function. sz if x <3 f(x) = x 1 if x 2 3