For the curve r(t), write the acceleration in the form aTT + aNN.r(t) = (5t sin t + 5 cos t)i + (5t cos t - 5 sin t)j + 3k
A. a = N
B. a = 5T + 5tN
C. a = 5T + N
D. a = 5tN
Answer: B
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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves about the given lines.y = 3x,y = 0,
x = 2; revolve about the x-axis
A. 24? B. 12? C. 48? D. 12
Solve the problem.For a charter flight, an airline charges a fare of $200 per person plus $4 per person for each unsold seat on the plane. If the plane holds 100 passengers and if x represents the number of unsold seats, find an expression for the total revenue received for the flight and find the maximum revenue.[Hint: To find an expression for the total revenue, multiply the number of people flying, by the price per ticket.]
A. R(x) = (100 - x)(200 + x) maximum revenue: $22,500 B. R(x) = (100 - x)(200 + 4x) maximum revenue: $22,500 C. R(x) = 204(100 - x) maximum revenue: $20,400 D. R(x) = (100 - x)(200 + 4x) maximum revenue: $18,000
Find the median. Round to the nearest tenth when necessary.The prices of the same computer game sold at several different stores or on online were as follows:
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and
A. $51.99
B. $45.99
C. $55.99
D. $53.99
Solve the problem.If (2, -8) is the endpoint of a line segment, and (5, -12) is its midpoint, find the other endpoint.
A. (8, -16) B. (-6, -2) C. (-4, 0) D. (8, -4)