Calculus In-Class Review

• A
• B
• C
• D

Tags

CCSS.HSA.REI.C.7

Find dy/dx
xy+y²=2

• -y/(x+2y)
• y/(x+2y)
• -3y/x
• -3x/y

Sketch the graph of the functions represented by the integral above.

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• 
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Find the area of the region enclosed by the lines and curves.

y = 3x + 4 and y = x² + 4

• 9

• 93/2

• 9/2

• 18

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

4

• A
• B
• C
• D

• Mean value theorem
• Rolle's theorem
• Intermediate Value Theorem
• Fundamental Theorem of Calculus

The Mean Value Theorem applies to f(x) = 3x - x² on the interval [2, 5]. Find the value of x where the slope of the tangent line is equal to the slope of the secant line

• 2

• -4

• 3.5

• -2

Tags

CCSS.HSF.IF.B.6

Find the area of the region bounded by the equations y = x² + 1 and y = 5.

• 32/3

• 64

• 32

• 64/3

• 16