Factoring using Difference of cubes

Q:  How do I factor this:  27 – 64x⁶

Truth Tables & Logical Statements

Q: How do I make truth tables?!?

Factor by grouping

Q:  Factor by Grouping:  -4q³u-2q²u-4qu

Factoring Example

Q:  Factor this:  -3x² + 12x – 12

Marginal Cost, Revenue & Profit

Q:  Word problem, here it is:

(a) The marginal cost function for Janes Coffee Co is MC(q) = 40 – 2q, where q is the number of tons of coffee produced.  Fixed costs are $250.  The marginal revenue function is MR(q) = 100 – 4q.  What is the value of the profit function P(q) when q = 20?

(b) The average cost when q=20 is?

(c) The change in revenue if sales increase from 10 to 15 tons is?

Fractions and mixed numbers

Q:  Solve for k:

k / 9 1/8(mixed number) = 20/73

Algebra word problem

Q:  At Midtown Bowling center, the cost to bowl four games is $8.40, and the cost to rent shoes is $1.15.  Write an equation for the cost C for renting shoes and bowling n games.

Partial Derivatives

Q:  Let P(x,y)=x³y⁵
(a) Find the indicated partial derivative with respect to x: P_x(2,1)
(b) Find the indicated mixed partial derivative: P_x,y(1,10)

Fractions in fractions (with variables!)

Q:  Solve for f:

(4/12) / f = 10/21

Solve for h

Q:  Solve for h:  5h/7 = 5/14