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Unformatted text preview: M408C Fall 2007
Assignment 7
Due Thursday7 November 1 You must show sufﬁcient work in order to receive full credit for a problem. Please
write legibly and label the problems clearly. Circle your answers when appropriate.
Multiple papers must be stapled together. Write your name and the time of your
discussion section on each page. Feel free to discuss these problems with your classmates. However, each student
must write up his or her own solution. 1. An object moves along a coordinate line with velocity Mt) : (2t — l)2 — l for 0 S t S 3. The position of the object at time t = 0 is one unit to the left of the
origin. (a) Find the position of the object when t : 3. (b) Find the total distance traveled by the object during those three seconds. sec2(;r)
x/l + 3 tan 1' 3. Sketch the region bounded by the curves y : sinzr and y = sin 21‘ for 0 S r S 7r 2. Evaluate the deﬁnite integral /4 (11‘.
o and ﬁnd its area. 4. Sketch the region bounded by the curves 3/ = 1:2 and y = 4. This region is divided
into two subregions of equal area by the line y = c. Find c. 7‘ 5(3); 3(0) + fringe/t
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 Spring '06
 McAdam
 Calculus

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