Calc Jeopardy

Evaluating Logs

100

What is the value of log₅(125)?

The correct value is 3

200

What is the value of log₂(2)?

The correct value is 1

300

What is the value of log₅(1/25)?

The correct value is -2

400

What is the value of log₂₄₃(9)?

The correct value is 2/5

500

What is the value of log₁₆(64)?

The correct value is 3/2

Reciprocal Trig Identities

100

Simplify sin θ / tan θ

The correct value is cos θ

200

Simplify cos θ * tan θ

The correct value is sin θ

300

Simplify cot θ * tan θ

The correct value is 1

400

Simplify cot² θ * tan θ

The correct value is cot θ

500

Simplify Sin² θ * cot² θ

The correct value is cos² θ

Finding Asymptotes Algebraically

100

Find the vertical asymptote of f(x) = (x-7) / (2x-2)

The correct value is x = 1

200

Find the vertical asymptote of f(x) = (x²-11x+10) / (2x-20)

The correct value is no vertical asymptotes

300

Find the horizontal asymptote of 3

The correct value is y = 1/12

400

Find the horizontal asymptote of f(x) = (2(x+8)) / (3(x+2)(x+8))

The correct value is y = 0

500

Find the vertical asymptote of f(x) = (5x²+23x-42) / (2x+12)

The correct value is no vertical asymptotes

Limits of Rational Functions

100

Determine the limit of lim_{x -> 6} (x²-36) / (-3x+18) in simplest form

The correct value is -4

200

Determine the limit of lim_{x -> -5} (-4x-32) / (-2x+10) in simplest form

The correct value is -3/5

300

Determine the limit of lim_{x -> -3} (x²+3x) / (x²+10x+21) in simplest form

The correct value is -3/4

400

Determine the limit of lim_{x -> -7} (x²+7) / (x²+8x+7) in simplest form

The correct value is 7/6

500

Determine the limit of lim_{x -> 8} (x²-6x+5) / (x²-8x) in simplest form 

The correct value is DNE

Derivative Notation

100

Find d/dy (5y⁴+4sin y)

The correct value is 20y³+4cos y

200

Find d/dz (3z⁴−5cos z)

The correct value is 12z³+5sin z

300

Find d/dm(4m²+5sin m)

The correct value is 8m+5cos m

400

Find d/ad(a³−sin a)

The correct value is 3a²−cos a

500

Find d/dy (2y³−4cos y)

The correct value is 6y²+4sin y