Solve the problem.Find the dimensions of the right circular cylinder with maximum volume if its surface area is 
A. r = 3 in., h = 8 in.
B. r = 2 in., h = 4 in.
C. r = 3 in., h = 3 in.
D. r = 2 in., h = 6 in.
Answer: B
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Find the unit tangent vector of the given curve.r(t) = (8 + 11t5)i + (6 + 2t5)j + (4 + 10t5)k
A. T(t) = 
i + 
j + 
k
B. T(t) = 
i + 
j + 
k
C. T(t) = 11i + 2j + 10k
D. T(t) = 
i + 
j + 
k
Perform the indicated operation. Write the result in standard form.(6 + 3i) - (-2 + i)
A. -8 - 2i B. 8 - 2i C. 8 + 2i D. 4 + 4i
Provide an appropriate response.Find all complex cube roots of z = 8(cos 120° + i sin 120°). Write each root in standard polar form with the argument in degrees.
A. 2(cos 40° + i sin 40°), 2(cos160° + i sin 160°), 2(cos 280° + i sin 280°) B. -2(cos 40° + i sin 40°), 2(cos 80° + i sin 80°), -2(cos 120° + i sin 120°) C. 2(cos 40° + i sin 40°), 2(cos 80° + i sin 80°), 2(cos 120° + i sin 120°) D. -2(cos 40° + i sin 40°), 2(cos 160° + i sin 160°), -2(cos 280° + i sin 280°)
Express as a sum of logarithms.log4(64 ? 256)
A. log43 + log44 B. log644 + log2564 C. log464 + log4256 + log44 D. log464 + log4256