Evaluate the integral. Select the correct answer.
a. 2.8665
b. 6.5700
c. 0.7166
d. 11.8665
e. none of these
a. 2.8665
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Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.The region bounded by y = 5x - x2 and y = x about the y-axis
A. 32?
B. 
?
C. 
?
D. 64?
Solve the problem.In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 250 kWh. For a randomly selected home, find the probability that the September energy consumption level is between 1100 kWh and 1225 kWh.
A. 0.0910 B. 0.2881 C. 0.3791 D. 0.1122
Provide an appropriate response.p = 
v1 + 
v2 + 
v3 + v4 and 2v1 + v2 - 2v3 - v4 = 0Use the procedure in the proof of Caratheodory's Theorem to express p as a convex combination of three of the vi's.
A. p = 
v2 + 
v3 + 
v4
B. p = 
v1 + 
v2 + 
v4
C. p = 
v1 + 
v2 + 
v4
D. It cannot be done using only 3 vi's.
Use a right triangle to write the expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function.sin(sin-1 
)
A. 
B. x
C. 
D. 