Find the volume of the described solid.The base of a solid is the region between the curve y = 3cos x and the x-axis from x = 0 to x = ?/2. The cross sections perpendicular to the x-axis are isosceles right triangles with one leg on the base of the solid.

A. ?
B. ?
C. ?
D. 2?


Answer: A

Mathematics

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Use the inverse trig functions to express the angle in terms of the indicated unknown side. Use one of the inverse trig functions csc-1 or sec-1 to express angle A in terms of c.

A. A = sec-1 
B. A = csc-1 
C. A = sec-1 
D. A = csc-1 

Mathematics

Evaluate the integral.

A. -10 B. 0 C. 5 D. 10

Mathematics

Find an equation for the ellipse described.Center at (0, 0); focus at (0, 7); vertex at (0, 8)

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

Mathematics

Plot a scatter diagram.Draw a scatter diagram of the given data. Find the equation of the line containing the points  and  Graph the line on the scatter diagram.

A. y = -1.8x + 11.02

B. y = -2.49x + 13.55

C. y = 2.26x + 13.05

D. y = -2.26x + 13.05

Mathematics