Use any method to evaluate the integral.
A. - cot3 x + C
B. - csc3 x + C
C. - csc4 x + C
D. csc4 x cot x + C
Answer: B
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Find the length and direction (when defined) of u × v.u = 2i + 2j - k, v = -i + k
A. 3; i -
j +
k
B. 3; i +
j -
k
C. 9; i +
j -
k
D. 9; i -
j +
k
Solve the problem.The accompanying figure shows the graph of y = x2 shifted to a new position. Write the equation for the new graph.
A. y = (x + 2)2 B. y = x2 + 2 C. y = (x - 2)2 D. y = x2 - 2
Find a general term, an, for the given terms of the sequence.3, 12, 21, 30, 39, . . .
A. an = 3(9)n-1 B. an = 6n - 9 C. an = 9n - 2 D. an = 3(3n - 2)
Solve the problem.Doreen and Irena plan to leave their houses at the same time, roller blade towards each other, and meet for lunch after 2 hours on the road. Doreen can maintain a speed of 3.6 miles per hour, which is 40% of Irena's speed. If they meet exactly as planned, what is the distance between their houses?
A. 18 miles B. 10.08 miles C. 7.2 miles D. 25.2 miles