Circle either True or False for the following If the stateme

Circle either True or False for the following. If the statement is false, explain why or give an example that disproves the statement. For questions 1 through 3 suppose the total cost of renting a car, C, in dollars is a function of two variables, the number of days, d; and the number of miles driven, m. This means C(d, m). The contours for C = $50, $100, and $150 are labeled in the figure given below. True or False: In looking over the contour diagram, C(3,200) approximately equal $150 True or False: The units for partial differential C/partial differential m would be in miles per dollar. True or False: According to the contour diagram partial differential C/partial differential m would be negative because all of the contours have negative slope. True or False: In terms of the problem the statement C_d (2,100) = 21.50 means that at 2 days and 100 miles the cost of the rental is increasing by $21.50. For 5 and 6 use the graph of the function f(t) given. Suppose the function f, represents the rate of change in the value of stock over a 60 day period. True or False: The total change over the 60 days would be $26.30. True or False: The value of the stock is at a maximum at day 20.

Solution

1) The statement is TRUE, since on checking the contour diagram of C(3,200) is approximately equal to 150$

2) The statement is FALSE, since the units will be dollars per mile and not miles per dollar

3) The statement is TRUE, since all the graphs are decreasing hence the slope of the curve will be negative in nature

4) The statement is FALSE

5) The statement is TRUE

6) The statement is TRUE