AB Unit 6 Test Review

• A
• B
• C
• D

The area of a circular region is increasing at a rate of 96 π square meters per second. When the area of the region is 64 π square meters, how fast, in meters per second, is the radius of the region increasing?

• 6

• 8

• 16

• 4√3

What is the length of x in this 45-45-90 triangle?

• 4√2
• 4
• 8
• 4√3

Evaluate:  cos^-1(1/2)

• π/6
• π/4
• π/3
• π/2

Evaluate:  arctan(1)

• π/6
• π/4
• π/3
• π/2

Based on the table, use a left Riemann sum and 4 sub-intervals to estimate the Area under the curve. (Choose the correct set-up.) 

• 5(3) + 1(4) + 2(5) + 1(7)
• 5(4) + 1(5) + 2(7) + 1(6)
• 5(3) + 6(4) + 8(5) + 9(7)
• 0(3) + 5(4) + 6(5) + 8(7)

Find the right-hand Riemann Sum, with three sub-intervals indicated by the table.

• 23

• 15

• 34

• 21

Find dy/dx by Implicit Differentiation 
x³ +y³  = 36

• 6 -x
• 3x² +3y² 
• −x²/y²
• 0

Find dy/dx
xy+y²=2

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

find d²y/ dx² of x² + y² = 16

Make sure to go as far as you can!

• -16/ y³

• (y² - x ^dy/dx) / (y³)

• (y² - x²) / y³