Find the integral using an appropriate trigonometric substitution.

What will be an ideal response?


Mathematics

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Solve.An elliptical riding path is to be built on a rectangular piece of property that measures 8 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.A = 8 miB = 6 mi 

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Solve the problem.The profit made when t units are sold, t > 0, is given by  Determine the number of units to be sold in order for P < 0 (a loss is taken).

A. t > 0 B. 15 < t < 18 C. t < 15 or t > 18 D. t = 15 or t = 18

Mathematics

Use the graph to find the intervals on which it is increasing, decreasing, or constant.

A. Decreasing on (-?, ?) B. Decreasing on (-?, 0); increasing on (0, ?) C. Increasing on (-?, ?) D. Increasing on (-?, 0); decreasing on (0, ?)

Mathematics

Find the area.

A. 1638 ft2  B. 409.5 ft2  C. 760.5 ft2 D. 819 ft2 

Mathematics