Mixed Integrals Practice

Select the formula for finding area under a curve bounded by the x axis.

Find the integral that would find the area of the region enclosed by the curves.

Select the formula(s) for find the volume of a solid of revolution around an axis using the disk method.

Select the formula(s) to find the volume of a solid of revolution using the washer method.

NO CALCULATOR: Find the volume of the solid generated by revolving the area bounded by y = x² and the x-axis from [0, 2] around the x-axis. 

• 8π/3
• 32π/5
• 108π/5
• 16π/3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Determine the volume of the region bounded by y = x² - 2x and y = x that is rotated about y = 4.

• 5.4
• 30.6
• 96.133
• 108.332

Which choice below represents this slope field?

• dy/dx = 2x

• dy/dx = -x

• dy/dx = yx

• dy/dx = x²

Which functions below will have the same slope field? (choose all that apply)

• y = x² - 3

• y = x² + 4

• y = 2x - 5

• y = 2x²

Tags

CCSS.8.EE.C.8B

Which slope field is represented by dy/dx = x²?

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