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r\) Test time = 8:30 11:30
é MAT 200 Fall 2006, Exam 1, Sept 26, V :1. he speed of a roller coaster is‘ineasur'ed at 1minute intervals and is given in the
{U/y able below. Estimate the distance traveled (in feet) during the 3 minutes that data
was recorded. n
v t feet/minute Use the form of the deﬁnition of the integral to evaluate the integral J72?“ . 3x) dx
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2 g, If 5* 2X2: .4 Page 2 of 4 3. Evaluate the integrals. {KC—Ea 2,155, i
W ~ 5/60 : x ILIZ/k/z‘C Page 3 of 4 . u. c the area enclosed by the curyes y = x3 and y = x. b. The base of a sculpture is the area enclosed by the curves y = x3 and y = x.
Crosssections perpendicular to the xaXis are semicircles. Draw a diagram of the sculpture. Show the base and a typical cross— % section. Label the elements of your diagram appropriately. , 1 W513; : M”?
Z... 2; 07* Page 4 of 4 g) ' 7 Find the volume of the solid generated by rotating the region bounded by the given curves about the y—axis.
y = 362,); = 3x Mix/v? Zing/Z1 A) ’
aggz/TX/fxvﬁ/W
3 3X2, XSM' ~ 6. On a certain website, the popularity of a recently posted Video is modeled by the
function P(t) = lOe"/24, t hours after it is posted. What is the average popularity ‘ g the ﬁrst week it is posted to the website? ...
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 Fall '06
 Aristidou

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