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
You might also like to view...
Solve the problem.At a track meet, Russell ran the first heat of the 100-yd dash in 14.5 sec, Sergy in 14.8 sec, and Omar in 15.2 sec. In the second heat, they got 14.3 sec, 14.4 sec, and 14.7 sec. Write a 1 x 3 matrix giving the changes in times. If the changes repeat, who will win?
A. 
, Omar
B.
[0.2 0.4 0.5], Sergy
C.
[-0.2 -0.4 -0.5], Sergy
D.
[-0.2 -0.4 -0.5], Russell
Construct a truth table for the given compound statement.p ? ~(s ? c)
A. 
B. 
C. 
D. 
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.ln 
A. 6ln x
B. 
ln x
C. x ln 6
D. 6ln 
Find the slope-intercept form for the line satisfying the conditions.Parallel to y = 2x - 7, passing through (1, -3)
A. y = 2x + 5 B. y = -2x - 1 C. y = -2x + 1 D. y = 2x - 5