# UH MATH 1431 - emcf7 (3 pages)

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## emcf7

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## emcf7

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Pages:
3
School:
University of Houston
Course:
Math 1431 - Calculus I
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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 B C D E 24 32 40 36 16 2 A rectangular garden must have a perimeter of 100 feet Find the maximum area of the garden A B C D E 400 250 900 625 1000 3 Find the largest possible area of a rectangle with base on the x axis and upper vertices on the curve y 9 x 2 A B C D E 6 3 18 12 3 18 3 24 4 The function y Ax1 2 Bx 1 2 has a minimum value of 40 at x 1 4 A A B C D E 20 5 24 40 50 5 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 24 4 2 B 4 24 C A D 6 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 55o the increment from 55 o to A 180 B 180 C 36 D 36 3 is E None of these 9 Use differentials to approximate A 5 1 B 5 05 25 1 C 5 01 10 Use differentials to approximate cos 58 o A B C D E 1 3 2 90 1 3 2 90 1 3 2 180 1 3 2 180 None of these D 5 001 E 5 005

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