midterm2

midterm2 - MATH 125 Spring 08 Midterm 2 Name 1(40 pts...

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MATH 125 Spring 08 – Midterm 2 Name 1. (40 pts) Consider function f ( x ) = x ( x - 1) 2 . It’s ﬁrst derivative is given by f 0 ( x ) = 1+ x (1 - x ) 3 . (a) ﬁnd vertical and horizontal asymptotes, if any. (b) indicate all intervals at which function is increasing. (c) indicate all intervals at which function is concave upward. (d) ﬁnd all x -coordinates of local maxima and local minima, separately. (e) Sketch the graph of the function on the other side of this page. (indicate inﬂection point, local max/min, asymptotes, x- and y-intercepts). 1

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W of a dog (in pounds) is related to the amount X of food (in cans) she consumed everyday. The relationship is founded by W 2 = 4 X 2 + 2 X + 5980 . The food consumed each day is increasing at a rate of 1 / 2 cans per day. At what rate is the dog’s weight changing when she’s consuming 10 cans per day? 3. (20 points) A rectangle is made of wire. One side is made of wire that costs \$3 per foot, the other three sides are made of wire that costs \$2 per foot. Find the largest area that can be formed by such a rectangle made from \$40 worth of wire. 2
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This note was uploaded on 04/17/2009 for the course MATH 125 taught by Professor Tuffaha during the Spring '07 term at USC.

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midterm2 - MATH 125 Spring 08 Midterm 2 Name 1(40 pts...

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