Use the function y=2x from x=0 to x=1 and n equal subintervals with the fuction evaluated at the left-hand endpoint of each subinterval. Find a formula for the sum of the areas of the n rectangles (call this S). Then find a. S(10). b. S(100). c. S(1,000).

Find the total area between the curves of the functions graphed and the x-axis. Use the formula for the area of a triangle. Answer exactly. -6 y 5 4 3 2 1 2-1-21 1 2 3 4-1-81 5-lx-171 X 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Q

Solve.

Find the sum of the areas of the shaded rectangles under each graph. Round to two decimal places. [Hint: The width of each rectangle is the difference between the -values at its base. The height of each rectangle is the height of the curve at the left edge of the rectangle.]