Use the definition f'(x) = 
to find the derivative at x.f(x) = 3x4 - 9x3 + 4
A. 3x3 - 9x2 + 4
B. 12x3 - 27x2 + 4
C. 3x3 - 9x2
D. 12x3 - 27x2
Answer: D
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Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime.15x3y2 + 16x2y3 + 4xy4
A. x(5xy2 + 2y3)(3x + 2y) B. xy2(5x + 2y)(3x + 2y) C. prime D. y2(5x + 2y)(3x2 + 2xy)
The displacement d (in meters) of an object at time t (in seconds) is given. Describe the motion of the object. What is the maximum displacement from its resting position, the time required for one oscillation, and the frequency?d = 8 - 5 cos (?t)
A. simple harmonic; 5 m; 2 sec; 
oscillation/sec
B. simple harmonic; -5 m; 2 sec; 
oscillation/sec
C. simple harmonic; 8 m; 2 sec; 
oscillation/sec
D. simple harmonic; 5 m; 
sec; 2 oscillations/sec
Solve the problem.The cost of manufacturing clocks is given by c = 121
, where c is the total cost and n is the number produced. What is c when no clocks are produced?
A. $5929 B. $121 C. $847 D. $77
Estimate the sum as indicated. Then answer the question.Estimate the following sum by first rounding to the nearest hundred. Does the estimate give you reason to doubt the stated sum?
A. Estimate: 12,900 ; yes B. Estimate: 12,900 ; no C. Estimate: 12,600 ; no D. Estimate: 12,600 ; yes