Solve the problem.Find the volume interior to the inverted catenary kiln (an oven used to fire pottery) shown in the figure. Give an exact answer in terms of logarithms. 

A. 7(3 ln(3 + ) - )
B. 14(3 ln(3 + ) + )
C. 42 ln(3 + ) - 
D. 14(3 ln(3 + ) - )


Answer: D

Mathematics

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Solve the problem.The position of a weight attached to a spring is s(t) = -7 cos 8?t inches after t seconds. What is the maximum height that the weight reaches above the equilibrium position and when does it first reach the maximum height?

A. The maximum height of 14 inches is first reached after 2 seconds. B. The maximum height of 14 inches is first reached after 4 seconds. C. The maximum height of 7 inches is first reached after 0.13 seconds. D. The maximum height of 7 inches is first reached after 4 seconds.

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Write the series using summation notation.1 +  +  +  + 

A. )
B.
C. )
D. )

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Determine whether the given value is a solution to the given equation.Is 5.6 a solution of -0.4x = -2.24?

A. No B. Yes

Mathematics

Write the standard equation for the circle.Center at (-7, -6), radius 2

A. (x + 7)2 + (y + 6)2 = 4 B. (x - 6)2 + (y - 7)2 = 2 C. (x - 7)2 + (y - 6)2 = 4 D. (x + 6)2 + (y + 7)2 = 2

Mathematics