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# Final1 - P5 i5 ‘ CALCULUS 1(MMIOI 23 OCT ’02 MIDN FINAL...

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Unformatted text preview: P5- . ' / i5 - ' - ‘ CALCULUS 1 (MMIOI) 23 OCT ’02 MIDN FINAL EXAM ' Q; t! b 1. Consider the ﬁinction f (x) = 4x +1 deﬁned for any real value of x. Q, a) Write one sentence explaining why f (x) has an inverse ﬁinction. b) Draw the graph of the inverse function. ﬁx) Answer: f '1 (x) 2% § § 2. Using the deﬁnition of derivative, not any derived formulas, ﬁnd the derivative of f (x) — 1 +1: (SHOWALLWORK)§ WJ’L— X—-— [ +h) +l~~r4l .. M) file—TL, hep ﬁlial/e: gjg‘h men/M 1W 5t 3. Consider two functions 1900 and. v(x) , both of which are exponential. The initial value of p(x)is 25 and the decay rate is .03. The initial value of v_(x) is 31 and the decay rate is .04. Use the natural log to ﬁnd the value ofvxxfor which p(x) : v(x). (SHOW ALL WORK) ~09’X KSJZ 113,121/ {’(Dr—as’a‘im 515—6. “03" some 2 .. V 1/90“ \$gl €~r9jix bag—“'03)? h3i¢Jx11X> ”6‘3 Elegy 9: mm x (/7; x : WMgg‘iﬁ ‘ 5‘: gut-7f avﬂd?7)x:3149é)x x- ' ”[3,”, in'al—Jr'xjafh : ln‘sij-xd/L \$45 ’ &1Jf{7% 2 “90:9 x .[ Mann‘aé) Jedi-ﬂu at” ...
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