1021 quiz 2 A Term 2006 answers

1021 quiz 2 A Term 2006 answers - Name: MA 1021 - 2006 A...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

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

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Name: MA 1021 - 2006 A Term Section 10 & Section 14 _ September 14, 2006 Quiz — Sections 3.2, 3.3, 3.4, 3.5 1. All students taking MA 1021 in A Term 2006 will take a common final exam on Wednesday evening, October 1 1, 2006, and should have already cleared their calendar for this time. 01' FALSE (please circle the correct answer — 2 points) 2. For two continuous and differentiable functions f(X) and g(x), the derivative of their sum [ f(x) + g(x) ] is the sum of their derivatives, the derivative of their product [ f(x)g(x)] is product of their derivatives, but the derivative of their quotient [ f(x)/g(x) ] is NOT the quotient of their derivatives. Derwafiw .F a. molar! is Nor) ’fl‘e- from! we} ._ (if; deep/oh we; TRUE FALSE ease circle the correct answer — 2 points) 3. The maximum value of a function on a closed interval [a,b] must occur at a “critical point” — those points where the derivative of the fiinction is either 0 or does not exist. (00 w J OCcur af- ~6an b}nfi-) _""\ TRUE FALSE lease circle the correct answer — 2 points) 4. The derivative of the fiinction f (x) = x7 + 7x6 — 32x — 5 exists ' for all real numbers x. ‘I/ or FALSE (please circle the correct answer — 2 points) 5. In HW problem 52 in section 3.2, Susan’s weight decreased as she climbed higher up the mountain. @Or FALSE (please circle the correct answer — 2 points) 6. Find the derivative of each of the following functions (5 points M) 2 x "9 U u’v-—- UV I x :— _ "—3- a f() x2—10x—21 V V1 x) " (XQ'v-ID'K—‘liyL b. g(x) = 3x7 + 4x“4 + «5:— — 816”2 —— 3x“2 0. h(x) = (x2 + 3x)10 (x — 5) WM: Io (x1+3x)fi(1x+3)(7fi~5) + (X1950 (I) . . i . 7. For a partlcular functlon f , you are glven: f(x)=Ax3 +Bx? +Cx+D f’(x) = 6(x—1)2 f(0) =17 Find A, B, C , and D {5pcints} PM: 3Axfl- sz+C= éfiz-llwé BAsé 13$ 147-1 2.3:”[1- 737 Bcflé 6:6 Dcwffo): 17 8. You are given: Dx [sin x] = COS-x . ,,. \\6 _ If y = (Slfl[33€)) , find "6;; (5points) s _ 01:! 2 g, ( 5:‘n(92<)) (6‘35 5") (g) Ax 9. Find the absolute minimum and absolute maximum of on the closed interval [-1, 4], givgn = x3 — 6x2 + 9x. (10 points) 197x): 3x71 WM? 1‘— 3(X1-‘fw70 c— an x-Zlfix—a) ocwr ulna“ Plfxl :3 0 Cfihi‘al Posnh‘ or uhm .qu) duflnm (“5+ ¥ 7; I n. K 'r‘ 3 611 Cfl'lhfa-I Pu:le x £(K\ T *l‘s é“ absolUl-c mm1muw~ X: -—l L]. l \ abjblUl-c Max-gluon. X21 J'L. 3 b / L1 '4 10. A stands atop a 10 foot ladder, so he can see what's on the other side of the wall. A's weight causes the ladder to slide down the wall, at a constant rate of 4 ft/minute. Soon, the base of the ladder E55; will hit B, who is exactly 6 feet away X from the base of the wall. How fast will the base of the ladder be moving when it hits B? (10 points) dx, _,4 F‘s/W; d-l' A __ 9 Who-l- I; __‘_‘l 7 wine-n («J—a5 ' all _r_ 615 _ 43 all xii—(1": [60 =7 9: (ion 4:2) Alt ’ X l" = .11.. -4 F7 (loo—K1)?” ' --3 ._.. A 0' Mar/n ‘1’; E, X: 8 :3? it, ‘3 (é)( ol’r 9 Anew-6mg? 3 “Wk ...
View Full Document

Page1 / 5

1021 quiz 2 A Term 2006 answers - Name: MA 1021 - 2006 A...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online