Evaluate the integral.
A. -cot (9? + 2) + C
B. 18 csc (9? + 2) cot (9? + 2) + C
C. 9 cot (9? + 2) + C
D. - cot (9? + 2) + C
Answer: D
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Solve the problem.Given the velocity and initial position of a body moving along a coordinate line at time t, find the body's position at time t.v = sin
, s(?2) = 2
A. s = -2 cos + 3.3073
B. s = -2 cos + 4
C. s = 2 cos + 4
D. s = -2 cos + 8.2134
Determine if the series converges or diverges. If the series converges, find its sum.
A. converges;
B. converges;
C. converges; 1
D. diverges
Find the quotient using long division.
A. 2x2 + 3x + 8
B. 2x3 + 3x +
C. 2x2 + 3x + 8 +
D. 2x2 - x + 10 +
If two ladders are placed end to end, their combined height is 46 feet. One ladder is 3 feet shorter than the other ladder. What are the heights of the two ladders?
a. 21.5 feet and 24.5 feet b. 23 feet and 26 feet c. 24.5 feet and 27.5 feet d. 21.5 feet and 18.5 feet e. 46 feet and 43 feet