test3calc1

# test3calc1 - Test 3 ~ Version 2 Show ALL of your work Sol U...

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Unformatted text preview: Test 3 ~ Version 2 Show ALL of your work!!! Sol U la n S i. (15 points} A rocket that is launched vertically is tracked by a radar station located on the ground 4 miles from tho launch site. If the distanoo from the rocket to the radar station'is iiiomasing at a rat: of 3000 miles per hour, ﬁnd the: vertical spew of the rocket when its distancc from the moat station is 5' miles? 1 I 2. (5 pointsli pour tea into a mug at a rate of 3 cm3 per second. [f the volumerof tea in the mug is increasing at a rate of 1 cm3 poi- second, ﬁnd the rate the tea is leaking out of the bottom of the mug. Include the equation which gives you this result. 3. (10 points) For the graph below state whether each point a, b. c. d is an absolute max, absolute min, local max, local min, or none of these. I t r x you: l+x r,,(x)=4+2X 4.2." 't U' f-- =“— (apoms) 58 (“U (l_x)3 (1-3.)4 (we): to answer the following questions a. State the domain of ﬁx). b. Fmd all vertical asymptoms of ﬁx“):— c. Find all horizontal asymptotes of 11x). d. Find allcritidal numbersle ﬁx). ‘“" c. Fimwn’als when: rm ls mcreasmg or decreasmg. 1’. State all maximums or minimums of ﬁx). g. Find the intervals when: ﬁx) is concave unwards or downwards. h. State all inﬂection points. i. Graph ﬁx). Include any asymptotcs, maximums, minimums. or inflection points. 5. [25 puims} Find the fGHUWing limits. Vatify L' Hnspiml' 5 Rule: applies bafﬂe. using it. 1. 1—2:?“ a' 1% 31 . a“—l—x h £121: A: c. lim I“ x d. lﬂix)‘ 15.120 point!) A alumni mmngulur bun with u. squat: him-.- is K3: in: buiil to ham an an: nulnny. The: bniium ufthl: bar. and all four sidm an: to bl: mad: of mamria] Gosling surf, and If]: [up is. in b: msuuL'lcd [If glam mating SSJ'TI‘. What In: I11: dimmluna DI' the: ho: ni' gmml. vullm mat can he mnsmmﬂ: Tm 5T1? ...
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## This note was uploaded on 03/20/2008 for the course MA 141 taught by Professor Wears during the Fall '07 term at N.C. State.

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test3calc1 - Test 3 ~ Version 2 Show ALL of your work Sol U...

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