quiz9and10 - 5. ind f ( t ) if f ( t ) = sin t-cos t , f...

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Name: Quizzes 9 and 10 for Calculus I 1. A farmer wants to fence an area of 1 . 25 million square feet in a rectangular Feld and then divide it in thirds using two additional fences parallel to one of the sides of the rectangle. How can he do this so as to minimize the cost of the fence? 2. ±ind the point on the graph of y = x that is closest to (1 , 0). 3. ±ind the dimensions of the rectangle of largest area that has its base on the x -axis and its other two vertices above the x -axis and lying on the parabola y = 16 - x 2 . 4. A poster is to have an area of 360 square inches. The top and bottom margins will each measure 3 inches, and the left- and right- margins will each measure 2 inches. ±ind the dimensions of the poster that will maximize the printed area.
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Unformatted text preview: 5. ind f ( t ) if f ( t ) = sin t-cos t , f (0) = 1, and f (0) = 2. 6. ind f ( t ) if f ( t ) = sin t , f (0) = 1, f (0) =-2, and f (0) = 3. 7. ind f ( t ) if f ( t ) = x 2 + x + 1, f (0) = 0, and f (0) = 1. 8. A stone was dropped o a cli and hit the ground at the base of the cli with a speed of 96 feet per second. How high is the cli? (Assume g , the acceleration due to gravity, is-32 feet per second squared.) 9. A ball is launched directly upward from the ground. If the ball remains in the air for 5 seconds, then how high did the ball go? What was the balls initial upward velocity?...
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This note was uploaded on 10/20/2011 for the course MTH 151 taught by Professor Skillings during the Spring '08 term at Miami University.

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