Consider the function f(x) = 4 − |x| defined on [-4, 4]. (a) Compute the left Riemann sum L12. L12 (b) Compute the right Riemann sum R12. R12 help (numbers) help (numbers) (c) Compute the average value of L12 and R12. Average value 1- Area help (numbers) (d) Compute the area under the graph of f. help (numbers) (e) Compare the two values found in (c) and (d). The average value is ? the area.

If R is the region between the graphs of the functions f(x) = 4x³ + 9x² + 7x-3 and g(x) = 5x³ + 2x² + 17x-3 over the interval [3,7], find the area, in square units, of region R. Enter only the value of the area. Do not include units in your answer. 2 1 N Provide your answer below: Content attribution NE 2 ** W S X command #3 80 E D DS $ 4 C 888 R F do 40 % 5 V T G < 6 MacBook Pro B Y V Ro 7 H U N 8 J - ( M 20- 7 9 K A O ) V -O L FEEDBACK 2 P V + 1 = : ; G { [ ? command option

1 S (2 - 2x) dx = 4, and 2 - 2x > 0 when -1 ≤ x ≤ 1. -1 Use this information and the principles of net signed area to find the following. 3 (a) f(2 - 2x) dx 1 3 (b) (2 - 2x) dx -1

How do we calculate the lower Riemann sum L(f,P) and the upper Riemann sum U(f,P) given the partition P = {0, 1, 2, 3} of the interval [0, 3].