10:59 Course MATH 132-CO3 Busin... . . . Problem 10. (1 point) Problem 11. (1 point) The graph of a function is given. Determine the average rate of change of the function between the indicated values of the vari- able (in red). Note: you can get an enlarged view of the graph by clicking on Refer to the graph above and without making it. find Average rate of change = The average rate of change over [0,2] : - Answer(s) submitted: The (instantaneous) rate of change at x = 1 : . no response submitted: (incorrect) 2 1. Choose the values of x at which the rat recorded: (incorrect) itive Answer(s) submitted: . no response . no response . no response submitted: (incorrect) recorded: (incorrect) Stream Courses Calendar More10:59 Course MATH 132-CO3 Busin... . . . (1) from x = 100 to x = 105. Average rate of change = Problem 6. (1 point) (ii) from x = 100 to x = 101. With an initial deposit of 400 dollars, the balance in a bank ac- Average rate of change =. count after t years is f() = 400(1.05)' dollars. (b) Find the instantaneous rate of change of C 1. What are the units of the rate of change of f()? when x = 100. (This is called the marginal cost Instantaneous rate of change = . Dollars Answer(s) submitted: . Years . no response . no response . Dollars/year . no response . Years/dollar submitted: (incorrect) recorded: (incorrect) 2. Find the average rate of change over [0, 1] Answer(s) submitted: . no response . no response submitted: (incorrect) recorded: (incorrect) Problem 9. (1 point) Use the graph of y = f(x) in the accompanying the slope of f at 3, Note: The slope of f at 3 is sometimes denote Problem 7. (1 point) Determine the average rate of change of the following function between the given values of the variable: f(x ) =x+2x; x = -1, x=2 Average rate of change = Click on the image to see a larger graph. Answer(s) submitted: Estimate of the slope of f at 3 = f'(3) = . no response submitted: (incorrect) Answer(s) submitted: recorded: (incorrect) . no response submitted: (incorrect) recorded: (incorrect) Problem 10. (1 point) Problem 11. (1 point) The graph of a function is given. Determine the average rate of change of the function between the indicated values of the vari- able (in red). Stream Courses Calendar More10:58 Course MATH 132-CO3 Busin... . . . Problem 5. (1 point) The displacement (in feet) of a certain particle moving in a straight line is given by s = 13/6, where t is measured in seconds. ect) ct) (a) Find the average velocity over the given time periods: (1) [1,3] (2) [1,2] (3) [1,1.5] (4) [1,1.1] (b) Find the instantaneous velocity at t = 1. (1) ft/s (2) fu/s (3) ft/s (4) ft/s (b) fu/s Answer(s) submitted: . no response . no response Problem 8. (1 point) ect) The cost (in dollars) of producing x units of a certain commodity ct) is C(x) = 5000+9x +0.682. (a) Find the average rate of change of C with respect to x when the production level is changed (i) from x = 100 to x = 105. Average rate of change = (ii) from x = 100 to x = 101. posit of 400 dollars, the balance in a bank ac- Average rate of change = is f(t) = 400(1.05)' dollars. (b) Find the instantaneous rate of change of C with respect to x its of the rate of change of f(t)? when x = 100. (This is called the marginal cost.) Instantaneous rate of change =. Answer(s) submitted: . no response . no response . no response submitted: (incorrect) recorded: (incorrect) rate of change over [0, 1] ect) ct) Problem 9. (1 point) Use the graph of y = f(x) in the accompanying figure to estimate the slope of f at 3, Note: The slope of f at 3 is sometimes denoted by f'(3) Stream Courses Calendar More