Solve the problem.The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately 
and 
, where x denotes the number of clocks made. What is the maximum annual profit?
A. $1,180,000
B. $1,480,000
C. $1,380,000
D. $1,280,000
Answer: A
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For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value 
r(t) = (3 sin t)i - (8 cos 3t)j +e-7tk ; to = 0
A. x = 3, y = -8t, z = -7 + t B. x = 3t, y = -8, z = 1 - t C. x = 3t, y = 8, z = 1 + t D. x = 3t, y = -8, z = 1 - 7t
Calculate the arc length of the indicated portion of the curve r(t).r(t) = (5 - 2t)i + (9 + 9t)j + (6t - 6)k, -10 ? t ? 9
A. 2299 B. -11 C. -121 D. 209
Solve the equation. Use the change of base formula to approximate an exact answer to the nearest hundredth when appropriate.10x = 0.81
A. x = log - 
B. x = log 0.81
C. x = log -0.81
D. x = log 
Factor.x7 - 5xn6 + 17x3n8 - 11x7n6
A. x(x6 - 5n6 + 17x2n8 - 11x6n6) B. xn6(x6 - 5 + 17x2n2 - 11x6) C. x2(x6 - 5n5 + 17x2n7 - 11x6n5) D. xn(x6 - 5n5 + 17x2n7 - 11x6n5)