Complete the square to determine the type of curve represented by the equation. : 4x² + 9y² - 16x - 20 = 0
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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.x = 2y2, x = - 2y, y = 2
A. 
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B. 
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C. 
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D. 
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Find the equation of a circle satisfying the given conditions.Center: (7, 6); radius: 4
A. (x + 7)2 + (y + 6)2 = 16 B. (x - 7)2 + (y - 6)2 = 16 C. (x + 6)2 + (y + 7)2 = 4 D. (x - 6)2 + (y - 7)2 = 4
Find the composition. If f(x) = 
and g(x) = 7x + 8, find g[f(x)].
A. x
B. 7x + 48
C. x - 
D. x + 16
Solve the problem.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $50 and on an SST ring is $10?
A. 20 VIP and 4 SST B. 20 VIP and 0 SST C. 24 VIP and 4 SST D. 24 VIP and 0 SST