05_Midterm2-Sample

05_Midterm2-Sample - University of California, Riverside...

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University of California, Riverside Department of Mathematics Midterm 2 Mathematics 9A - First Year of Calculus Sample 5 Instructions: This exam has a total of 100 points. You have 50 minutes. You must show all your work to receive full credit You may use any result done in class. The points attached to each problem are indicated beside the problem. You are not allowed to use books, notes, or calculators. Answers should be written as p 2 as opposed to 1 : 4142135 ::: . 1. Find the derivative of the following functions: (a) (6 points) g ( ) = ± 2 (sec sin 2 ) 2 (b) (7 points) f ( x ) = x 4 tan x x 3 + 2 p x (c) (7 points) f ( y ) = 2 p y cos 3 y 3 + csc ± 2 ± 2. (20 points) Find the equation of the tangent line to the curve xy 2 + cos ( ±y ) = 1 at the point (2 ; 1) : 1
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3. A house is located at a straight road which runs east-west. The posi- tion, s ( t ) ; of a car moving on the straight road measured in miles from the house after t hours is given by s ( t ) = 60 t 15
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This note was uploaded on 01/11/2010 for the course MAT 9a taught by Professor Nouh during the Spring '09 term at UC Riverside.

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05_Midterm2-Sample - University of California, Riverside...

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