ECN3030 Math Review Remix

Derivatives

100

The derivative of 8x⁵.

What is 40x⁴?

200

The derivative of 4x^2/5.

What is (8/5)x^-3/5?

300

The Derivative of 4/(x^1/2).

What is 2x^-3/2?

400

The derivative of (x² + 4x +4)(x² - 4).

What is 4x³ + 12x² - 16?

500

The derivative of (2x³ + 7x² + 9x)/(x^1/2).

What is 5x^3/2 + (21/2)x^1/2 + (9/2)x^-1/2?

Partial Derivatives

100

The partial derivatives of 2x³ + 4y⁴ .

What is 6x² and 16y³?

200

The partial derivatives of 9x³y⁸.

What is 27x²y⁸ and 72x³y⁷?

300

The partial derivatives of 15x³y².

What is 45x²y² and 30x³y?

400

The partial derivatives of 4xy²+5x²y.

What is 4y²+10x²y and 8xy+5x²?

500

The partial derivative of 8ln(x^1/3y^2/3)+2ln(x^1/2y^3/2).

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

Supply and Demand

100

The Demand function from the following prices and quantities:

P | Q

3 | 745

6 | 630

9 | 515

What is Qd = -38.33P + 860?

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?

300

The equilibrium values for supply and demand,

Qd = 650 - 15P

Qs = 50 + 5P

What is P = 30 and Q = 200?

400

The equilibrium values for supply and demand,

186 = 15P + Qs

28P = -368 - Qd

What is P = 12.88 and Q =7.2?

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?

Profit Analysis

100

The maximum profit given the function 

Total profit = 2Q² + 10

What is 10?

200

The maximum profit given the function 

Total profit = 5Q - ln (2Q)

What is 2.11?

300

The maximum profit given the function 

Total profit = 3Q^{2 -} 4Q + 11

What is 9.67?

400

The maximum profit given the function 

Total profit = 4Q^{3/2 -} 16Q^1/2

What is -12.32?

500

The maximum profit given the function 

Total profit = 2Q³ + 5Q² - 12Q + 24

What is 18.62?

Other

100

The simplication of 4/x/6/y.

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

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

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 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, and 64 in year 6.

What is PV = 197.44?

500

The derivative of 9(5x³)^1/4(2x³ + 1).

What is (27(5^1/4)(10x³ + 1))/(4x^1/4)?