Math121Quiz2Sols

# Math121Quiz2Sols - QUIZ#2(SECTIONS 2.4 2.5 2.6 2.7...

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QUIZ #2 (SECTIONS 2.4, 2.5, 2.6, 2.7) SOLUTIONS MATH 121 – FALL 2003 – KUNIYUKI 105 POINTS TOTAL, BUT 100 POINTS = 100% PART 1 (USE A SCIENTIFIC CALCULATOR!): 31 points 1) The position function of a particle in inches is given by st t t () =+ 54 3 , where t is time in seconds. Write units! (13 points total) a) What is the position of the particle at time t = 2 ? (3 points) t t s () = () + () = () + = 25 2 4 2 58 8 40 8 3 3 48 inches b) What is the velocity of the particle at time t = 2 ? (5 points) t t vt s t t v () = ¢() () = () + = () + = 15 4 21 5 2 4 15 4 4 60 4 3 2 2 64 inches second c) What is the acceleration of the particle at time t = 2 ? (5 points) vt t at v t t a = () = () = 15 4 30 23 0 2 2 60 inches second or 60 inches per second per second 2

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2) A computer company's cost function is Cx x () =+ 400 5000 in dollars, where x is the number of computers produced. (18 points total) a) Find the average cost function, AC x . AC x x x x x xx x x () = = + - 400 5000 400 5000 400 5000 400 5000 1 or + (Various forms are appropriate.) b) Find lim x AC x Æ• . lim x x Æ + Ê Ë Á Á ˆ ¯ ˜ ˜ = 400 5000 0 123 400 c) Find the marginal average cost function, MAC x .
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## This note was uploaded on 09/08/2011 for the course MATH 121 taught by Professor Staff during the Spring '11 term at Mesa CC.

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Math121Quiz2Sols - QUIZ#2(SECTIONS 2.4 2.5 2.6 2.7...

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