Provide an appropriate response.Decide if the statement is true or false. If false, explain.The points (-1, -1) and (1, 1) lie on the graph of f(x) =
. Therefore, the Mean Value Theorem insures us that there exists some value x = c on (-1, 1) for which f'(x) =
= 1.
What will be an ideal response?
False. The function has a non-removable discontinuity at x = 0. The mean value theorem does not apply.
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Solve the problem.A swimming pool has a rectangular base 12 ft long and 24 ft wide. The sides are 7 ft high, and the pool is full of water. How much work will it take to lower the water level 2 feet by pumping the water out over the top of the pool? Assume that the water weighs Give your answer to the nearest ft ? lb.
A. 440,294 ft ? lb B. 17,971 ft ? lb C. 880,589 ft ? lb D. 35,942 ft ? lb
Use formulas to find the area of the plane region.
A. 14 cm2 B. 7 cm2 C. 8 cm2 D. 10 cm2
Find an equation of the line with the given properties. Express your answer in slope-intercept form. Graph the lines.Passing through (1, 3) and parallel to y = 5x - 5
A. y = 5x - 2
B. y = -5x - 2
C. y = 5x + 3
D. y = 5x + 8
Solve the problem.David's company has to ship 4400 boxes of sprinklers. If a truck can hold 550 boxes, how many truckloads does he need to ship all the boxes?
A. 8 truckloads B. 6 truckloads C. 9 truckloads D. 7 truckloads