Use integration by parts to find the integral.
dx
A. - x(7 - x)3/2 -
(7 - x)5/2 + C
B. x(7 - x)3/2 +
(7 - x)5/2 + C
C. - x(7 - x)3/2 +
(7 - x)5/2 + C
D. - x(7 - x)3/2 -
(7 - x)5/2 + C
Answer: D
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Find the derivative.s = t8 - csc t + 18
A. = 8t7 + cot2t
B. = 8t7 - csc t cot t
C. = t7 - cot2t + 18
D. = 8t7 + csc t cot t
Solve the problem.Write an expression in simplest form that represents the area of the parallelogram. Then use the expression to find the area of the parallelogram if n is 34.
A. 4n + 28; 164 B. n2 + 14n; 1632 C. n2 + n; 1190 D. 2n + 14; 82
Multiply. Write the answer as an improper fraction as needed. ×
A.
B.
C.
D.
Solve the following quadratic application by factoring.If an object is thrown upward with an initial velocity of , its height after t sec is given by
. How high is the object after 0.5 sec? At what time will the object hit the ground? (Hint: The height is 0 on the ground.)
A. The object will be 4 ft high after 0.5 sec.; The object will hit the ground after 1 sec. B. The object will be -12 ft high after 0.5 sec.; The object will hit the ground after 9.5 sec. C. The object will be 0 ft high after 0.5 sec.; The object will hit the ground after 11 sec. D. The object will be 16 ft high after 0.5 sec.; The object will hit the ground after 9.5 sec.