MATH 1431 - EMCF 7 Covers 5.1 – 5.2 Due 11/09 at 11:59 pm 1. A rectangular garden must have an area of 64 square feet. Find the minimum perimeter of the garden. A. 24 B. 32 C. 40 D. 36 E. 16 2. A rectangular garden must have a perimeter of 100 feet. Find the maximum area of the garden. A. 400 B. 250 C. 900 D. 625 E. 1000 3. Find the largest possible area of a rectangle with base on the x-axis and upper vertices on the curve 2y9x= −. A. 63 B. 18 C. 12 3 D. 18 3 E. 24 4. The function 12 12y Ax Bx//−= + has a minimum value of 40 at x=1/4. A=? A. 20 B. 5 C. 24 D. 40 E. 505. A rectangular playground is to be fenced off and divided into two parts by a fence parallel to one side of the playground. 480 feet of fencing is used. Find the dimensions of the playground that will enclose the greatest total area. A. 140 by 90 feet with the divider 90 feet long B. 115 by 85 feet with the divider 116 feet long C. 130 by 90 feet with the divider 130 feet long D. 120 by 120 feet with the divider 120 feet long E. 120 by 80 feet with the divider 80 feet long 6. You are building a window in such a way that the bottom is a rectangle and the top is a semicircle. If you have 12 meters of framing materials (material for around the window), give the value of 2r that allows the most light in. See the figure below. r r h 2r A. 244π+ B. 24π+ C. 24π D. 6π E. None of the above. 7. If you wish to approximate 18, the increment from 16 to 18 is: A. 1 B. 2 C. -2 D. -1 E. None of these 8. If you wish to approximate sin(55 )o, the increment from 55o to 3π is: A. 180π B. 180π− C. 36π− D. 36π E. None of these9. Use differentials to approximate .25 1 . A. 5.1 B. 5.05 C. 5.01 D. 5.001 E. 5.005 10. Use differentials to approximate cos(58o). A. 132 90π+ B. 132 90π− C. 132 180π− D. 132 180π+ E. None of
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