Determine the indefinite integral. Check your work by differentiation.dy

A. y3/2  - 12 + C
B. y3/2 +  + C
C.  - +C
D. y3/2 + 12 + C

Answer: D

Mathematics

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Solve the given differential equation.4y" - 5y' + 5y = 0

A. y = ex/8  
B. y = e5x/8 
C. y = c1e5x/8 + c2 ex/8 
D. y = e-5x/8 

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Identify the intervals where the function is changing as requested.Increasing

A. (-3, ?) B. (-3, 3) C. (-2, ?) D. (-2, 2)

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Find the sum of the first 208 terms of the arithmetic sequence 12, 10, 8,... ?

A. -39,520 B. -42,640 C. -40,560 D. -37,440 E. -44,720

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Find the surface area or volume.The region between the curve y = , -0.5 ? x ? 1.2, and the x-axis is revolved about the x-axis to generate a solid. Use a table of integrals to find the volume of the solid generated to two decimal places.

A. 2.95 B. 3.76 C. 3.48 D. 3.10

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Mathematics