An expression that occurs in calculus is given. Write the expression as a single quotient in which only positive exponents and/or radicals appear.6x3/2(x3 + x2) - 8x5/2 - 8x3/2
A. x3/2(x - 1)[6(x2 - 1) - 2] + 6x3
B. 6x3/2(x + 1)(3x2 - 4)
C. 6x3/2(x3 - 1) + 6x3 - 2x3/2(x - 1)
D. 2x3/2(x + 1)(3x2 - 4)
Answer: D
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Solve the problem.Let the distance from home in miles of a person after t hours on a straight path be given by Approximate the average rate of change of s from
to
to the nearest tenth and interpret the result.
A. about 8.2; average speed is about 8.2 mi/hr B. about 3.7; average speed is about 3.7 mi/hr C. about 2.8; average speed is about 2.8 mi/hr D. about 2.6; average speed is about 2.6 mi/hr
During the construction of a high-rise building, a worker accidentally dropped his portable electric screwdriver from a height of 144 ft. After t sec, the screwdriver had fallen a distance of ft.
?
What was the velocity of the screwdriver at the time it hit the ground?
?
A. 12 ft/sec B. 48 ft/sec C. 768 ft/sec D. 96 ft/sec
Factor completely.x9 - 6x8y - 27x7y2
A. x7(x - 3y)(x + 9y) B. x7(x - 9y)(x + 3y) C. x7(x + 9y)(x + 3y) D. x6(x - 9y)(x + 3y)
Solve the linear equation.-2.7x + 1.1 = -1.1 - 1.6x
A. {2} B. {1.4} C. {0.8} D. {-3}