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Old test - ‘ Midterm 2 Winter 2008 Math 20A Print 11...

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Unformatted text preview: ‘ Midterm 2, Winter 2008, Math 20A Print 11: CIRCLE THE SECTION IN WHICH YOU ARE ATTEN A01 A02 A03 A04 A05 A0: A07 A08 1 m 2 m m 4 m 5 m 7 m 8 m .13 11,8) p,.p @.P p. Ben Mike John Anna I Be sure to show your work. No credit will be given for unsupported answers. If a problem statement asks you to provide a solution using a certain method, then you will not receive credit for doing a problem by a different method. This is a closed notes, closed books exam. The use of calculators is not permitted. 1. (8 pts) Use the Linear Approximation to estimate 111((37 - 0.3) — 1110‘?7 ). 0L 2 fl 1—”0,3 RX) all/1X ‘9‘ bx 4"(x)=—.J_ x M’XWCQ)A$ mail; 20/1 Proms—2w Cato! Isa 51 Malta—MW 2. (14 pts) Compute the following derivatives. Simplify your answers completely for full credit. ,, 7? (a) Let f(x) = tanx . Find f (—) . J- “900 =- Seax \/ J2“;- Q‘Cfl: '2 Secx (Se:v<+um>\) \/ {Text/Lg): Zseclt‘fi gear: hm T) 3. (l2pts) A child is skateboarding south towards the traffic light at l m' and a bus is traveling east away from the traffic light at 40 mifh. At what rate is the distance between the child and the bus changing when the child and the bus are each 3 miles away from the intersection? J: _-j-‘-{"-‘.1- _ )!fl-PCAX =2 $’(00C7‘~“‘"3 4. (10 pts) Find an equation for the tangent line to the curve ys "' y — x2 — “1 at the point (—191) . Syqyl,_7l__2,x 2.0 l 9,4 l 9)! k r/ SSW—'4 \l SC\)\"'\ 5" “Kg! “'7 7' a7- 5. (6 pts) Find g'(8) , where g(x) is the inverse ofa differentiable function f(x) such that f(~2) = 8 and f'(-—2) = 13 . Be sure to show your work in order to receive credit for this problem. +100 = ...
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