Math Review 3

# Math Review 3 - MATH AND CALCULUS REVIEW EXERCISES The...

This preview shows pages 1–2. Sign up to view the full content.

MATH AND CALCULUS REVIEW EXERCISES The following questions are to help you review exponentials, derivatives, partial derivatives, optimization, and constrained optimization. 1. a) What is 27 -1/3 equal to? b) What is X 1/2 X 1/3 equal to? c) What is (X 2 ) 3 equal to? d) What is the area of a triangle whose base is 5 metres and whose height is 20 metres? 2. What is the significance of the first order derivative of a function? 3. Find the first order and second order derivatives for each of the following functions: a) Y = 6; b) Y = 6X – 5; c) Y = 6X 3 + 3X 2 ; and d) Y = 6X 1/3 . 4. Using the product rule, find the first order derivative of the following functions: a) Y = 5X 4 (3X - 7); and b) Y = 3X 1/2 (2X 2 + 3). 5. a) A firm's total revenues are R = 200Q - 25Q 2 . What is the first order derivative (with respect to Q)? b) What is the meaning of this derivative? 6. a) Diagram the following function: Y = 5X 2 - 20X + 50. b) At what value of X does Y reach a minimum?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

Math Review 3 - MATH AND CALCULUS REVIEW EXERCISES The...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online