Provide an appropriate response.Let f(x) = 
, x ? 1.(a) Find the area of the region between the graph of y = f(x) and the x-axis.(b) If the region described in part (a) is revolved about the x-axis, what is the volume of the solid that is generated?(c) A surface is generated by revolving the graph of y = f(x) about the x-axis. Write an integral expression for the surface area and show that the integral converges.(d) Use numerical techniques to estimate the area of the region in part (c), to an accuracy of at least two decimal places.
What will be an ideal response?
| (a) | 1 |
(c) 2?
converges by using the limit comparison test with the function y = x-2.
(d) 7.61
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Solve the problem.You decide to put in a large sidewalk around a garden which measures 2 feet by 3 feet. The dimensions of the combined sidewalk/garden are to be 6 feet. by 10 feet. What is the area of the sidewalk only?
A. 54 sq. ft B. 60 sq. ft C. 28 sq. ft D. 6 sq. ft
Factor by grouping.6x2 - 9x + 8x - 12
A. (6x - 4)(x + 3) B. (6x + 4)(x - 3) C. (3x - 4)(2x + 3) D. (3x + 4)(2x - 3)
Provide an appropriate response.The length of time (in minutes) that a person arriving at a bus stop must wait for a bus is uniformly distributed with density function f(x) = 
where 0 ? x ? 15. Find the mean waiting time and the standard deviation.
What will be an ideal response?
A point on the terminal side of angle ? is given. Find the exact value of the indicated trigonometric function.(3, 4)Find cos ?.
A. 
B. 
C. 
D. 