Evaluate the indefinite integral.
A. 5x4 - 2x5 + x3 + C
B. - 2x5 +
x4 + C
C. -
x5 +
x4 + C
D. x6 - 10x5 + 25x4 + C
Answer: B
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Solve the problem.At time t, the position of a body moving along the s-axis is m. Find the body's acceleration each time the velocity is zero.
A. a(6) = 6 m/sec2, a(8) = -6 m/sec2 B. a(6) = 0 m/sec2, a(8) = 0 m/sec2 C. a(12) = 72 m/sec2, a(16) = 12 m/sec2 D. a(6) = -6 m/sec2, a(8) = 6 m/sec2
Rewrite the series using summation notation. Use 1 as the lower limit of summation. +
+
+ . . . +
A.
B.
C.
D.
Use synthetic division to find the quotient and the remainder. (x5 - 2x4 - 12x3 - 12x2 - 18x + 16) ÷ (x - 5)
A. Q(x) = x4 + 3x3 + 3x2 + 3x + 3 ; R(x) = 3 B. Q(x) = x3 + 3x2 + 3x + 3 ; R(x) = 1 C. Q(x) = x4 + 3x3 + 3x2 + 3x - 3 ; R(x) = 1 D. Q(x) = x4 + 3x3 + 3x2 + 3x + 1; R(x) = 0
Solve the inequality and give the solution set. <
< 3
A. {x| -11 < x < - }
B. {x| -11 < x < - 3}
C. {x| 3 < x < 11}
D. {x| -11 < x < -11}