Approximate the area under the curve and above the x-axis using n rectangles. Let the height of each rectangle be given by the value of the function at the right side of the rectangle.f(x) = 2x3 - 1 from x = 1 to x = 6; n = 5
A. 825
B. 875
C. 800
D. 850
Answer: B
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Divide the first polynomial by the second and state the quotient and the remainder.3x5 + 4x4 + 2x2 - 1, x + 2
A. Quotient: 3x4 - 2x3 + 4x2 + 6; remainder: -13 B. Quotient: 3x4 - 2x3 + 6x2 - 12; remainder: 23 C. Quotient: 3x4 + 2x3 + 4x2 + 8x; remainder: -15 D. Quotient: 3x4 - 2x3 + 4x2 - 6x + 12; remainder: -25
Use transformations of the graph of y = x4 or y = x5 to graph the function.f(x) = (x + 5)4 + 3
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Solve the problem.Suppose that the speed of a car, measured in miles per hour (mph), is monitored for some short period of time after the driver applies the brakes. The following table relates the speed of the car to the amount of time, measured in seconds (sec), elapsed from the moment that the brakes are applied.Represent the data in the table graphically with elapsed time on the horizontal axis and speed on the vertical axis. Would a linear function give an approximate fit?
What will be an ideal response?
A person plans to invest up to $26,000 in two different interest-bearing accounts. Each account is to contain at least $5000. Moreover, the amount in one account should be at least twice the amount in the other account. Find and graph a system of inequalities to describe the various amounts that can be deposited in each account. ?
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