1021 quiz 3 A Term 2006 answers

# 1021 quiz 3 A Term 2006 answers - Name.6 MA 1021 2006 A...

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Unformatted text preview: Name: ._ . . . .6 .. MA 1021 - 2006 A Term Section 10 September‘ 21, 2006 Quiz - Sections 3. u , 3.7, 3.8 Please note that the ﬁrst problem has NOT been done for you this week! I. Allstudents taking MA 1021 in A Term 2006 will take a common ﬁnal exam on Wednesday evening, October 11, 2006, and should have already cleared their calendar for this time. 01' FALSE {please circle the correct answer - 2 points) (05 ~— 4; Give two angles (in radian measure) where the sine of the angle is equal to V2. (2 points) You live next to along, straight river. The river is 8 miles across (wow, that is a BIG river!) On the Opposite bank, but 10 miles downstream, is your school. You wake up one day, and are worried you may be late to school. You can swim at a rate of 3 miles per hour, and you can run at a rate of 5 miles per hour. What is the best strategy for you to get to school as soon as possible? (Oh, and one more amazing thing about this river — it has Q current!) (10poinrs) .i. 3 (Sh-XL 5 1m ’9 x y 1321. . "‘ ,4/ c 19 ANSWER: SWIM O 3 15" 1-1; 4:. Poinl- 4 "ﬁn-c; o the... 10 q, 61” Cl szr ’l‘b hum) 6 /3 + /5 7 r; 6" SMC-Il‘ﬂr run 'Hu “Mannan ‘ £5 6 Muir; {0 Just ,_ Cle __..a"" "" ..___.—- 3 [5" 7. Show that Dx [sec x] = secxtan x. You may use the fact that DI [sin x] = cos x and Dx [cos x] = msinx, if you wish. (8 points) (of)! ewx A cylindrical can is to be constructed with an aluminum side and a copper top and bottom. The can will have a volume of 64 cubic inches. Copper costs 4/1: cents per square inch, while aluminum costs only 1 cent per square inch. Find the dimensions (height and radius) of the cheapest can which meets these requirements. (10 points) V: ﬁrfL; '3) 14-2.. £1 77/1" Cask 9 @‘TKQ—XI‘ZT ) #- (Zfl‘rk) (I) “dyer-Al's; has; Inn“! 4.. caged m2. cowg‘pmal; 7’1 4- ~~ I 605* cud-(e. “global W’NMUH ’2 in. SmA/hjl- l9 ova-x. a.” Pajlhv-e real n"v‘~9¢’:. 23W!!! Cln— Lona/4‘ r7:- 2 “and LI '3 A b—I/ﬂ—x 9. Find the derivative of each of the following functions (5 points each) a. f(x) =(x3tanx)—[Sinx] COSX 2 ___,. n 10. Find the derivative of each of the following functions (5 points M) 2 b. y = x(x ) (hint: use logarithmic differentiation) 9“ WM We) *****a:********* END OF QUIZ **************** ...
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1021 quiz 3 A Term 2006 answers - Name.6 MA 1021 2006 A...

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