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mat210_review_test3

# mat210_review_test3 - =-w\m\mmemm’§m...

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Unformatted text preview: = -w;\m\mmemm’§m were:emwexmmwmxmwmmeﬁwammmmnwmmmm m. W31 “r seemmumm’maxmmmwmmmemwsmm ammo-Mn mamwmmmmm Name: Class: Review for TEST 3 Multiple Choice Identzﬁz the choice that best completes rhe statement or answers the question. 1. Find the coordinates of all relative and absolute extrema. g(x) = rue—99‘? 3 x x2—3 (0: 0) (0, 0), (3, 4.5) (—3, —4.5), (3, 4.5) (—3, —4.5), (3, 4.5), (0, 0) . I (—19 1): (09 0) Date: ID: A The radius of a circular puddle is growing at a rate of 2 cm/s. How fast is the area growing at the instant when it equals 20 cm 2? a. b. c. d. e. 251 cm 21’s 32 em 2/8 10 cm 2/5 16 cm 2/5 18 cm 2/5 A rather ﬂimsy spherical balloon is designed to pop at the instant its radius has reached 5 cm. Assuming the balloon is ﬁlled with helium at a rate of 5 cm 3/5, calculate how fast the diameter is growing at the instant it pops. The volume of a sphere of radius r is V= % 70‘ .9999"? 0.016 cm/s 0.127 em/s 0.159 cmfs 0.212 ere/s 0.032 cm/s - 3 maimmm‘:mummmawmmm-mamemmmenmmmwmmmunmmwnu. vmmmwwwswmmmmtwmmwmmxmmmmmmmwmw:zauax-cixmemammsm:mmsmem Name: ID: A . Demand for your tie-dyed T—shirts is given by the formula 5+———- ‘0 «IE where p is the price in dollars you can charge to sell q T—shirts per month. If you currently sell T—shirts for \$10 each and you raise price by \$2 each month, how fast will the demand drop? a 10 T—shirts per month b. 400 T-shirts per month (2. 40 T-shirts per month d 20,000 T—shirts per month e 80 Tmshirts per month . A study found that the divorce rate d (given as a percentage) appears to depend on the ratio r of available men to available women. This function can be approximated by -60r+70 ier 1.3 141r 126 . 5 ——S— 1fr>1.3 0'0“) = There are currently 0.8 available men per available woman in Littleville, and this ratio is increasing by 0.15 per year. At what percent is the divorce rate decreasing? a. 21.15% per year b. 0.12% per year c. 9% per year d. 0.75% per year e. 10.5% per year . The'consumer demand curve for tissues is given by = (92 —p)2 where p is the price per case of tissues and q is the demand 1n weekly sales. Determine the elasticity of demand E when the price is set at \$30. Round the answer to the nearest hundredth. a 0.01 b. 0.97 c. 0.48 d 0.65 e 1194 . a E E a 'Nm‘émsm awwm :wmvmmwmmm‘aﬁméﬁﬁﬂmﬁvmzmﬁiMmmVW+>Sﬁmmammumx“mumzwsmmmmm Name: . Evaluate the integral. [Ham V -6 a. —l’6— +6ln(v) + C -4 b. "VT +61n(v) +C -6 c. —16—'—61n|v|+c v-4 d. vT+6lnlv|+C V-4 e. —4—-.—6In|v]+C . Evaluate the integral. [(6x_29——x‘6+7)dx a. %+\E—;—5—+7x+C 'b. £+~§3+C c. £+£¥+7x+€ d. %—£;+7x+C x30 x-S 6- T+T+7x ID: i f‘ g; E: F wwz>:xmy;my.mwmmmmmawammmwwzxsmmw:imvsm , mammxwwmsmmmymmamwm :mw‘tewﬁ\mm‘k\‘iﬂm‘yxﬁ‘kbwsswam“ mamwmamxm Name: 10. Evaluate the given integral using the substitution. le_4xdx;u=—4x a —4e#4x+C b —-}ie—4x+C e —e_4x+C d —%e“3x+c e. —e_8x +C Evaluate the integral. 2 Lee—896 +8dx 2 a. 16 68x2+8 b. —w§—+c 2 c. “880: +8+c 2 d. —16e8x +8+c sac-2+8 _e__+c e. 16 ID: imam-ememmnmu maxi-1' PM VAWYEWAMBEAWWWMWmmwgmmu mmmﬂmk\1m./. mama-mmwmsumwmmaﬁxamvmu\wﬁsmm\mmm~k . mmmwstlmmmmmvznmmz Name: 11. 12. 13. Evaluate the integral. ' 2. 2 [((4x—1)e4x _Zx+7xex )dx 2 2 .a. e4x —2x+7ex +c 2 2 4x w—I2.x x b e +73 +0 x 2 2 c e4x ~2x+7ex +0 2 2 2 d e4x —2x+14ex +0 2 2 7e e44: ~2x+7ex +0 . sz . ID: A Calculate the left Riemann sum for the function over the given interval using the given values of n. f(x) =I6x —2 over [0, 2], n =4 a. Left Sum = 7 b. Left Sum "—“ - 4 7c. Left Sum = 4 d. Left Sum = - 5 e. Left Sum = 5 The'marginal cost function for the manufacture of portable CD players is given by C' (x) = 10 - x 00 is the number of CD players manufactured. Use a Riemann sun with n = 15 to estimate the cost of producing the ﬁrst 15 CD players. a. \$148.95 b. \$147.75 c. \$147.90 d. \$148.80 6. \$133.88 where x D I]]]] 6 6 6 6 6 16. LW 0% L6 LM 51 5 5 ml 5 + _ _ . m ) ) 6 6 6 6 ) 7 7 ) 2 01 01 00 1. . 01. _ 2 2 _ _ [[[l|\[ 8 00 00 00 00 U U H 25 25 4 4 4 .4 4 {I\ fix (.\ 11 1 + + m _ _ 5 5 5 l. 4. M M % W\ L x x|xxlllxxllzx|xxl / a 4 8 8 m d 2 2 2 3 2 2 2 3 2 W in + + + _ + We ) 5_ 5_ 0—2 5— 5— t \J \I... \I} \IJ ) \I/ t 6 m _ .I. _ _ .m x 0—5 0—5 0—7 0_5 0—0 .m 0 _ e W 61616 6166 6 0M 202 202 2 303 202 m + _ _ _ m _ 1m 4 1 1 ST). 1 1 m 0707050705 E n [[[[[ 02 6 6 616 61 a 2 2 2 2 2 a h .m 6 x ( (k ( (Ix (Ix m 2 2 2 2 2 w [. m .a E 1 7 a b c d e E l 5 a b c d e 4” 5. 1 1 m ‘ a ‘ N :22.9.x.5"REgg/gaging“gaggggﬁgﬂggEﬁBéFggegﬁﬁ.,agadﬁﬁﬁﬁynﬁaznangzxsﬂwﬁggzqavéﬂeﬁvﬁﬁgﬁig .HaﬁeﬁﬁFégigﬁ «a» £Ei! Name: 16. Evaluate the integral. mymxmmmammxm; f 45x2 dx .3x3—12 15(ln204-ln 15) 22.5(ln204+1n 15) 22.5(ln204~ln15) 30(1n204+1n15) 45(ln15-ln204) WW1 mmmmmmmw 99.0.69 waxmmmsamwm \ 6mAﬁ‘nEaﬁ‘xzzﬁmmxa&me mmmamm .v mw‘vaumoe:nmmmmammammswwmxmm A 9.". “rm-arcsammwmm ID: ...
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