Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the specified axis.
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Find first four terms of the indicated expansion by use of the binomial series.(1 - 3
)7
A. 1 - 21
+ 63x - 105x
+ . . .
B. 1 - 21
+ 189x - 945x2 + . . .
C. 1 + 21
- 189x + 945x
- . . .
D. 1 - 21
+ 189x - 945x
+ . . .
Solve the problem.A block is attached to a spring and set into motion. For this block and spring, the location on the surface at any 
is given in meters by 
Find the maximum distance reached by the block from the resting position.
A. 6 m
B. 
m
C. 12 m
D. 2
m
For the given pair of functions, find the requested function.f(x) = 15x2 + 13x + 5 and g(x) = 9x2 + 7x - 7; (f - g)(x)
A. 6x2 + 6x - 2 B. 6x2 + 6x + 12 C. 6x2 - 6x - 12 D. 6x4 + 6x2 + 12
Determine whether the system corresponding to the given augmented matrix is dependent or inconsistent. If it is dependent, give the solution.
A. dependent; z = -4 B. inconsistent C. dependent; (0, 0) D. dependent; (0, -4)