Use an algebraic approach to solve the problem:A board 10 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.
A. 10 feet
B. 2 feet
C. 6 feet
D. -2 feet
E. 4 feet
Answer: E
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Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.About the line y = 6
A. 432? B. 108? C. 216? D. 36?
Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = eyzi + 3yj + 6z2k ; D: the solid sphere x2 + y2 + z2 ? 36
A. 288? B. 864? C. 2592? D. 8640?
Find the domain of the composite function f?g. Write the domain in interval notation.f(x) = 
; g(x) = 5x + 20
A. (-?, -4] ? [0, ?) B. [-4, ?) C. (-?, ?) D. [0, ?)
Solve the following system by any appropriate method. If there is no real number solution, so state.4x2 - 4y2 = 842x2 + 2y2 = 58
A. (-5, -2), (-2, -5) B. (5, -2), (5, 2) C. (5, 2), (2, 5), (-5, -2), (-2, -5) D. (5, 2), (5, -2), (-5, 2), (-5, -2)