Derivatives
Partial Derivatives
Equilibrium S&D
Present Value
Other
100

The derivative of 6x4.

What is 24x3?

100

The partial derivatives of 2x+ 4y.

What is 6x2 and 16y3?

100

The equilibrium values for supply and demand,

Qd = 650 - 15P

Qs = 50 + 5P

What is P = 30 and Q = 200?

100

The present value of a company with an interest rate of 7% and the profits of 62 in year 1, 73 in year 2, and 75 in year 3.

What is PV = 182.92?
100

The simplication of 4/x/6/y.

What is (2y)/(3x)?

200

The derivative of 5 ln(5x).

What is 5/x?

200

The partial derivatives of 4ln(5xy).

What is 4/x and 4/y?
200

The equilibrium values for supply and demand,

P = 13.3 -2.1 Qd

3Qs = P + 4.7

What is Q = 3.53 and P = 5.89?

200

The present value of a company with an interest rate of 13% and the profits of 48 in year 1, 53 in year 2, 52 in year 3, and 58 in year 4.

What is PV = 155.6?

200

The x and y values found from this system of equations,

10 = 5x + 9y

40 = 3x +16y

What is y = 3.21 and x =-3.78?

300
The Derivative of 2/(x1/2).

What is -x-3/2?

300

The partial derivatives of 15x3y2.

What is 45x2yand 30x3y?

300

The equilibrium values for supply and demand,

2Qs - P = 12

5P - 6Qd =36

What is Q = 24 and P = 36?

300

The present value of a company with an interest rate of 11% and the profits of 16 in year 1, 11 in year 2, 14 in year 3, 19 in year 4, and 21 in year 5.

What is PV = 58.56?

300

What x equals in the equation (7/y/x/3)=(x/y/3/2).

What is x = 5.61 or (63/2)1/2?

400

The derivative of (x+ 6x +9)(x2 + 3).

What is 4x3 + 18x2 + 24x + 18?

400

The partial derivatives of 4xy2+5x2y.

What is 4y2+10x2y and 8xy+5x2?

400

The equilibrium values for supply and demand,

50P - 5Qs = 25

32Qd + 12P =12

What is Q = 0.18 and P = 0.52?

400

The decision a company would make when choosing between two projects, with project 1 having an interest rate of 16% and profits of 82 in year 1, 93 in year 2, 103 in year 3, 100 in year 4, and 95 in year 5, and project 2 having an interest rate of 17% and profits of 44 in year 1, 42 in year 2, 46 in year 3, 49 in year 4, and 44 in year 5.

What is a PV for project 1 of 306.25 and a PV for project 2 of 143.23 that would lead to a decision of choosing project 1.

400

The decision a company would make when choosing between two projects, with project 1 having an interest rate of 22% and profits of 56 in year 1, 65 in year 2, 68 in year 3, 63 in year 4, 61 in year 5, 64 in year 6, 66 in year 7, 69 in year 8, 71 in year 9, 68 in year 10, 72 in year 11, 77 in year 12, 75 in year 13, 79 in year 14, and 80 in year 15.

What is PV = 278.82?

500

The derivative of (x2 + 4x + 3)/(x1/2).

What is (7x3/2)/2 +4x1/2 +3/(2x1/2)?

500

The partial derivative of 8ln(x1/3y2/3)+2ln(x1/2y3/2).

What is 11/(3x) and 25/(3y)?

500

The equilibrium values for supply and demand,

1.12Qs = -3.2P + 2.6

2P = 8.4 - 9.2Qd

What is P = 0.53 and Q =0.797?

500

The decision a company would make when choosing between two projects, with project 1 having an interest rate of 14% and profits of 96 in year 1, 91 in year 2, 82 in year 3, 81 in year 4, 81 in year 5, 84 in year 6, 87 in year 7, 93 in year 8, 100 in year 9, and 99 in year 10, and project 2 having an interest rate of 18% and profits of 23 in year 1, 29 in year 2, 32 in year 3, 36 in year 4, 41 in year 5, 44 in year 6, 50 in year 7, 47 in year 8, 52 in year 9, and 55 in year 10.

What is a PV for project 1 of 462.7 and a PV for project 2 of 163.02 leading to a decision to choose project 1.

500

The derivative of 9(5x3)1/4(2x3 + 1).

What is (27(51/4)(10x+ 1))/(4x1/4)?

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