The position vector of a particle is r(t). Find the requested vector.The velocity at t =
for r(t) = 2 sec2(t)i - 2 tan(t)j + 9t2k
A. v = 8i + 4j -
?k
B. v = -4j +
?k
C. v = 8i - 4j +
?k
D. v = -4j -
?k
Answer: C
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Solve the problem. Round your answer, if appropriate.A man 6 ft tall walks at a rate of 3 ft/sec away from a lamppost that is 23 ft high. At what rate is the length of his shadow changing when he is 70 ft away from the lamppost? (Do not round your answer)
A. 35 ft/sec
B. ft/sec
C. ft/sec
D. ft/sec
Solve the problem.It costs $37 per hour plus a flat fee of $29 for a plumber to make a house call. Find the total cost to have a plumber come to a house for 10 hours.
A. $327 B. $1083 C. $370 D. $399
Write the first five terms of the arithmetic sequence.an = an - 1 - 7; a1 = 5
A. 5, -7, -2, -9, -16 B. 5, -2, -9, -16, -23 C. -7, -2, 3, 8, 13 D. 4, -3, -10, -17, -24
Use the laws of exponents to simplify each expression using positive exponents only. Assume all variables represent nonzero real numbers.3
A.
B.
C.
D.