Test 1 Fall 2009: Key

# Test 1 Fall 2009: Key - Math 111 Test 1 Pledged 110 points...

This preview shows pages 1–3. Sign up to view the full content.

---------- Math 111 Test 1 Pledged _ 110 points fall 2009 Print Name Your signature on the line above gives your pledge that this test was done by you and represents your work. 1. Determine if the Intermediate Value Theorem applies or does not apply to the following: F(x) = x 3 _x 2 -6x [-3,4] F(c) = 0 Be clear and complete in your argument. If appropriate, find c. (12 points) (j) F (Xl i 5 COY\4-)Y"(,LOV-S eV --rljwt S l·ne. e F j 5 polj nOY'A\<A.L @ F(-3):= (-3) -= -27 - q + ,g =- -I <;? F( 4 ') = (LJ J (LJ) (1-\ J :: {P 1-{ - I - d Y :;: d if Q F(-3J=-\g <: Ih eAthn-e W ieA rA-J-dJ-O:t::t Jh ... Q 3 '2. F (C)::: C - - /.p C := 0 C LC:'C. =0 11=0 C=3 l.-) ) CvU- Cs: - 0. =-3 C 3 ==jJ< b=-J-j

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

View Full Document
-- 2. a) State the definition of derivative. (5 points) +'(,x') = .f(X-+-6x)- -F'{X) L! 6 X 0 /j X ) '"::::- ===== b) Use the definition to find the derivative for f (x) = _1_. Show all steps clearly. (6 3-x points) I \ fl(Xl == 3-(X+'LlX) - 6X-7D - LlX I1sl'de: 3-X - [3-(X-t-6XI] I n IA rn enJ-or; /- y:- fi' (3 - (X +-t1x)) (.3-X l .6X tJ-'/0 (3-XJ -;z. . c) Give the equation of the normal line to the function in part b at x = 2. (3 points) +( ;l) = - I :::: \ ( ;1/ I') \ S (JO l(\ -C \f ') :: - \ .
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 12/05/2011 for the course MATH 111 taught by Professor Bang during the Fall '08 term at Emory.

### Page1 / 8

Test 1 Fall 2009: Key - Math 111 Test 1 Pledged 110 points...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online