Convert the polar equation to a rectangular equation.r2 sin 2? = 8
A. xy = 8
B. xy = 4
C. x2 + y2 = 8
D. y2 = 8
Answer: B
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Find the volume of the solid generated by revolving the region about the given line.The region in the first quadrant bounded by the line 3x + y = 6, by the x-axis, and by the y-axis, about the line x = -2.
A. 24? B. 32? C. 5? D. 64?
Find the slope and the y-intercept.x + 7y = 1
A. m = -7; (0, 7)
B. m = ;
C. m = - ;
D. m = 1; (0, 1)
Perform the indicated operation. If the fraction is undefined, say so.
A. 0
B.
C. 24
D. undefined
Solve.A hiking club is trying to construct a rope bridge across a canyon. A 6-foot construction pole held upright casts a 7-foot shadow. At the same time of day, a tree at the edge of the canyon cast a shadow that exactly covers the distance that is needed for the rope bridge. The tree is exactly 89 feet tall. How long should the rope bridge be? (Round to the nearest foot.)
A. 90 ft B. 623 ft C. 76 ft D. 104 ft