Calculus With Analytic Geometry Seventh Edition

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Math 123 Calculus I Name: e5uLu1'lOtJJ J Exam I Fall 2004 RWJ ( ) V1\£~ Instructions: Read questions carefully. Please show your work/reasoning so as to help me awardyou (partial) credit. You will need to compute a derivative of a function "using the definition" only in question 5; in all other problems use the various rules/shortcuts that we've discussed. Note point values - 105 points are listed, the maximumyou may earnis 100. Good luck! .. .. ;-
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1. (20 pts.) Suppose that the distance, in miles, that you've traveled along 1-90 east of Rapid City after t minutes is given by !(t)=!!!!!.-, 0~t~40. t+7 a. Compute the average velocity over the time interval from t = 15 to t = 26 minutes. ~ ('2. b) - ..f:..( J 5) - ~.:--~ ( i_-~~==)~i-'-~ -- I - /1 If 1'11;" 2.b- ,!; (~(2,") ~ ~ ":. 5"'2-/ ),(,;)= (;~ =- 15) b. Compute the instantaneous velocity at time t = 15 minutes. }((..f-) = ~~= b b~ (?OI:YIrJ ~) L--t-.f. 7)~ - ((;"(1) - (--E:""7)'" r J(((~) "::;. ~~-~~~t = ~ ~ (1'2.)'1. '2. 2 ~'.~ 2 ~ -
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2. (36 pts.) Compute the derivatives of the given functions. Don't waste time simplifying. J f( ) = x2 -2x+5 a. x 2 3x -1 rf ( - (2"\C-~)(3?\'2.-)/- (~7.-2'1C:-""'Z;){,",,") -1' 1<), - - ('!>?I; 1.-1) "l.
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  • Summer '06
  • JOHNSON
  • Calculus, Derivative, pts, Regular polygon, work/reasoning asto help, implicit differentiationif dx, Computethe average velocity

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