Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.About the y-axisx = 4

A. 20?
B. 32?
C. 40?
D. 48?


Answer: C

Mathematics

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Integrate the function.

A. -  sin8 x -  sin10 x + C
B. -  cos8 x +  cos10 x + C
C.  sin8 x -  sin10 x + C
D.  cos8 x -  cos10 x + C

Mathematics

Rotate the axes so that the new equation contains no xy-term. Graph the new equation.31x2 + 10xy + 21y2 -144 = 0

A.

B.

Mathematics

Solve.Two swimmers are swimming in opposite directions. One is swimming at a speed of 2 m/sec. and the other is swimming at a speed of 2 m/sec. If we begin a stopwatch at the time that they pass each other, then how long will it take them to get 47 m apart?

A. 20 sec.
B. 11 sec.
C. 10 sec.
D. 9 sec.

Mathematics

Find the sum of the finite geometric series. +  +  +  + 

A. S5 = 
B. S5 = 
C. S5 = 341
D. S5 = 

Mathematics