Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.f'(x) = x1/3(x - 7)
A. Decreasing on (0, 7); increasing on (7, ?)
B. Decreasing on (0, 7); increasing on (-?, 0) ? (7, ?)
C. Decreasing on (-?, 0) ? (7, ?); increasing on (0, 7)
D. Increasing on (0, ?)
Answer: B
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Identify the critical points. Then use the test of your choice to decide which critical points give a local maximum value and which give a local minimum value. Give these values.f(?) = cos 2?, 0 < ? < 
A. Critical point: 
; local maximum f
= 
B. Critical point: 0; local minimum f(0) = -1
C. No critical points; no local maxima or minima on the interval 
D. Critical points: 0, 
; local maximum f(0) = 1; local minimum f
= 0
Factor, if possible.2x6 + 14x5 - 16x4
A. 2x4(x2 + 7x - 8) B. x4(2x - 2)(x + 8) C. x4(x - 1)(2x + 16) D. 2x4(x - 1)(x + 8)
Solve the problem.The city bridge has 8 lanes, all carrying equal numbers of cars. If 536 cars drive across the bridge, how many cars cross in each lane?
A. 67 cars B. 68 cars C. 544 cars D. 75 cars
Solve the linear inequality. Other than ?, use interval notation to express the solution set and graph the solution set on a number line.4x + 3 < 27
A. (-?, 6]
B. [6, ?)
C. (-?, 6)
D. (6, ?)