1-26 - 20 meters With what velocity must the tomato be...

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January 26, 2005 Announcements Math 125 A&B Joint Marathon Review Session! Today (Wednesday) 5:30 – 7:30 PM in GUG 317 . (Thanks to Bill, Kiana and Allen.) Sections covered by the midterm: 4.10, 5.1-5.5, 6.1-6.3. One sheet (8 1 2 × 11) of handwritten notes (one sided) allowed during the midterm. Graphing calculators are NOT allowed on the midterm. Do sample midterms from Math 125 Materials web page (click on Week 4 (MIDTERM # 1)) Today Review
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1. Compute the following integrals 3 2 (ln x ) 3 x dx sin t 1 + cos 2 t dt. 2. Let f ( x ) = x 2 - 4 x 0 e t dt . Compute f ( x ).
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3. The region between the curves y = x 2 - 1 2 x 4 and y = - 2 x for 0 x 2 is rotated about the y -axis to form a solid of revolution. What is the volume of this solid? 4. A tomato is thrown vertically upward from the ground level toward the ceil- ing of a tall barn. The ceiling is height
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Unformatted text preview: 20 meters. With what velocity must the tomato be thrown so the it just reaches the ceiling? Recall that the ac-celeration due to gravity is 9.8 m/s 2 . 5. Pete is driving his car along a straight street. He starts as his work place and needs to deliver a packet to a costumer. Not knowing the neighborhood too well he starts going in the wrong direction, but realizes his mistake soon. The ve-locity of his car is given by v ( t ) = 90 t 2-50 t in mi/h where t is measured in hours. • Pete reaches his destination after one hour. How far away does the cus-tomer live from Pete’s work place? • Pete’s car drives 35 miles per gallon of fuel. How much fuel did Pete use up for this journey?...
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