Test 2 review S10

# Test 2 review S10 - f has a local minimum at x =-3 a point...

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

MATH 122 Review sheet for Test #2 Spring 2010 Test #2: Tuesday, March 23. Optional review session Monday at 6:30 PM in LeConte 115. SI review on Sunday at _____________. Test covers sections 2.4, 2.5, 3.1 – 3.4, 4.1 – 4.4, as well as material covered on worksheets. Material from curve sketching worksheets may be asked in smaller parts. Test may include some multiple choice questions and/or true-false questions To prepare, complete the Wiley Plus assignments that are due a week from Sunday. Practice the differentiation problems on page 173 (except those involving trig functions.) In addition, here are a few sample problems. 1. Differentiate 4 2 ) 3 7 ( 5 ) ( x x x f - = . Simplify for EXTRA CREDIT. 2. Sketch the graph of x y = and the line tangent to the graph at x = 4. Write the equation of the tangent line you’ve drawn. Leave equation in point-slope form. 3. Sketch a graph of a function, f , with the following properties:

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.

Unformatted text preview: f has a local minimum at x = -3, a point of inflection at x = -1 and a local maximum at x – 1. 4. Sketch a graph of a function, g , with the following properties: ) ( ′ ′ x g for x < 2, ) ( < ′ ′ x g for x > 2, and g (2) = 1. 5. Differentiate; do not simplify a. ( ) ln(2 1) f z z z = + b. 3 1 ( ) 3 3 3 t g t t t t = + + + c. t te t F 2 3 ) (-= 6. 3 2 ( ) 3 9 15 ( 5 4) f x x x x x =--+- ≤ ≤ is a continuous function on a closed interval. Find its global maximum and global minimum values. ( Show work, using only the values which must be considered.) 7. At a price of \$8 per ticket, a community theater group can fill every seat in the theater, which has a capacity of 1500. For each additional dollar charged, the number of people buying tickets decreases by 75. What ticket price maximizes revenue?...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Test 2 review S10 - f has a local minimum at x =-3 a point...

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

View Full Document
Ask a homework question - tutors are online