hpc final jeopardy

Limits

100

The limit of (x+4)/(x+4) as x approaches -4.

What is 1?

200

The limit as x approaches -0.0001 of y = sqrt (x).

What is DNE?

300

limit as x->5 of (x²-25)/(x²-4x-5)

5/3

400

The limit of f(x) = |1/x| as x approaches 0.

What is DNE?

:)

500

limit as x->5 of (x²-3x-10)/(x³-5x²-x+5)

7/24

Derivatives

100

The derivative of f(x) = 5.25x + 10.5

what is 5.25?

200

The derivative of |x-2|/(x-2).

What is 0?

300

derivative of 5x³+3x²

15x²+6x

400

derivative of 3x^2+3

what is 6x

500

derivative of 1/√x

-1/2(x^3/2)

Area

100

The area under the graph f(x) = x within the interval [0,2]

What is 2 units squared?

200

Area under 5x [0,1]

what is 5/2 units squared

300

Area under 3x+6 [0,2]

what is 18 units squared

400

The area under the curve of f(x) = 1.175 within the interval [0, 4]

What is 4.7 units squared?

Must include units squared.

500

The area under the curve of f(x) = -(x^2) - 4 in the interval of [0,2]

What is 0 units squared?