Calculus / Statistics

Limits

100

lim x² as x approaches 3

9

200

lim (3x+1) as x approaches 2

7

300

lim(sinx/x) as x approaches 0

1

400

lim((3x²+1)/x²) as x approaches infinity

3

500

Evaluate ((5x³+2x)/x³) as x approaches infinity

5

Derivatives

100

Differentiate x⁴

4x³

200

Differentiate 5x³

15x²

300

Differentiate (x²+1)³

6x(x²+1)²

400

Differentiate (x²)(x³)

5x⁴

500

Differentiate x²/(x+1)

(x²+2x)/(x+1)²

Integrals

100

Integrate ∫x2dx

x³/3+C

200

Integrate ∫4x³dx

x⁴+C

300

Integrate ∫(3x²+2)dx

x³+2x+C

400

∫(6x⁵−2x)dx

x⁶-x²+C

500

∫(8x³+4x²−6)dx

2x⁴+(4/3)x³−6x+C

Statistics

100

What does IQR stand for?

Interquartile Range

200

What is the formula for IQR?

(the one I showed in class)

Q₃-Q₁

300

What is an outlier?

A value outside of the lower or upper fence.

400

Find the IQR.

Q1 = 12

Q3 = 24

12

500

Q1 = 10

Q3 = 22

Find the lower and upper fences.

IQR = 12

Lower Fence = -8

Upper Fence = 40

Mixed Review

100

lim(x²+1) as x approaches 2

5

200

Differentiate 5x⁴+8x³-3x²+4x-92

20x³+24x²-6x+4

300

∫6x²-2x+9dx

2x³-x²+9x+C

400

Differentiate (x+2)⁵

5(x+2)⁴

500

Differentiate the function and then integrate your answer:

f(x)=3x⁴−2x+7

3x⁴-2x+C