Test 1 Solutions - @ r\) Test time = 8:30 11:30 é MAT 200...

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Unformatted text preview: @ 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 1-minute 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 @Q 2’ 6I/ - ? ‘7' “z a- 3‘41 Xc~fi4+czlx=’ll‘%' :7‘” -: {fl'%,' ,5. m -2/z‘r ‘7” A” . 7" x» "‘7"? Ix Z 3, fax/“K ' {’m g F“ p” ‘/ W2 3; 27 , ,4?) g“ ’fog #7” CW A a 2;: ,s M: g I}: 7,2 10‘7949 L// A A, ' a / , 749’; ‘7’); I W2 ( a [’m )5 m ’22?” W“ W 2 / h"7r20 <3" k f 2-»)7/t [W \ (A); i «I g. h 2 ii Xz/ 2— Ifl~5)d Ill" 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. Cross-sections perpendicular to the x-aXis 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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Test 1 Solutions - @ r\) Test time = 8:30 11:30 é MAT 200...

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