Evaluate the spherical coordinate integral.
A. ?
B. ?
C. ?
D. ?
Answer: D
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Solve the problem.A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is . What is the cart's maximum speed? When is the cart moving that fast? What is the magnitude of of the acceleration then?
A. ? ? 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2 B. 10? ? 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0 cm/sec2 C. 10? ? 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1 cm/sec2 D. 10? ? 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2
Solve. Round any approximate solution to the fourth decimal place.9(5)x = 39
A. 0.9624 B. -0.1431 C. 0.9111 D. 2.1133
Write the first four terms of the sequence.an = n
A. a1 = 1, a2 = , a3 =
, a4 =
B. a1 = 1, a2 = , a3 =
, a4 =
C. a1 = , a2 =
, a3 =
, a4 =
D. a1 = , a2 =
, a3 =
, a4 =
Solve the problem.A car wheel has a 13-inch radius. Through what angle (to the nearest tenth of a degree) does the wheel turn when the car rolls forward 3 ft?
A. 173.7° B. 163.7° C. 168.7° D. 158.7°