minutes) r(r) (rotations per minute) 72 95 112 775 Rochelle rode a stationary bicycle. The number...
(minutes) g(t) (cubic feet per minute) 12.8 15.1 20.5 18.3 22.7 Grain is being added to a silo. At time 1 = 0, the rate at which grain is being added is modeled by the differentiable function g, where g() is measured in cubic feet per minute for Os138 minutes. a. Write an integral expression that represents the total amount of grain added to the silo from time 10 to time 1 8. Use a right Riemann sum with the...
2. A test plane fles in a straight line with positive velocity vt) in miles per minute at time tminutes, where vis a differentiable function of t. Selected values of v(t) are shown in the table below. Use a midpoint Riemann sum with four subintervals of equal length to approximate J, (t)dt, then using correct units, explain the meaning of the approximation. 0 5 10 15 20 25 30 35 40 (minutes) v(t) (miles per minute) 7.0 9.2 9.5 7.0...
Activity: A Journey Through Calculus from A to Z sin(x-1) :- 1) x< h(x) kr2 - 8x + 6. 13x53 Ver-6 – x2 +5, x>3 Consider f'(x), the derivative of the continuous functionſ defined on the closed interval -6,7] except at x 5. A portion of f' is given in the graph above and consists of a semicircle and two line segments. The function (x) is a piecewise defined function given above where k is a constant The function g(x)...