Find the specified area.Find the area of the region bounded by y = x3 - 27x +5, the x-axis, and the first coordinates of the relative maximum and minimum values of the function.
A. -294
B. 30
C. - 
D. 15
Answer: B
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Factor the sum or difference of cubes.3c4 - 81c
A. 3c(c - 3)(c2 + 3c + 9) B. 3(c + 3)(c2 - 3c + 9) C. 3c(c + 3)(c2 - 3c + 9) D. c(c + 3)(c2 - 3c + 9)
Solve.A sequence of yearly payments of $5000 is invested at the end of each of 9 years at an interest rate of 4.9%%, compounded annually. What is the total amount of the annuity after 9 years?
A. $55,906.29 B. $53,906.29 C. $54,406.29 D. $54,906.29
Solve the problem.The design of an electric power generating station depends on both the peak and the average power that it must produce. If a community uses 336 + 144t - 6t2 megawatts at time t (in hours) during the period t = 0 to t = 24, find the average level of power consumption for that day.
A. 2064 MW B. 49,536 MW C. 21,888 MW D. 912 MW
Solve the problem.The total spending of a city government has increased approximately linearly from $1.9 million in year 6 to $3.9 million in year 16. Let s be the total spending (in millions of dollars) at t years. Find an equation of a linear model to describe the data.
A. s = 0.2t - 397.3 B. s = 5t - 28.1 C. s = -0.2t + 3.1 D. s = 0.2t + 0.7