Test2Spr2010

# Test2Spr2010 - f x = x 2 x 3 over the interval[0,1 200 feet...

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Name MAC 3473, Honors Calculus 1 Keesling Test 2 3/3/2010 Do all problems. Show your work and explain your answers. Each problem is 20 points. 1. Solve the following differential equation using power series. Solve for the first six coefficients, { a 0 , a 1 , a 2 , a 3 , a 4 , a 5 } , assuming y = a n x n n = 0 ! " . ! y = y + x 4 y (0) = 2 2. Determine the differential equation for the motion of a mass attached to an elastic spring. m k = spring constant

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3. What is the total force on a dam with the dimensions given in the diagram below. Assume that the water level is at the top of the dam. 4. Determine the centroid of the area under the following curve:
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Unformatted text preview: f ( x ) = x 2 + x 3 over the interval [0,1] . 200 feet 100 feet 5. Determine the following integral using Romberg Integration. cos x 2 1 ! dx . Use the program that that you entered onto your TI-89. Use n = 5 . This will give up to 2 5 = 32 subdivisions of the interval. Circle the best answer and indicate the number of digits that are correct. Give four digits except for the fifth and sixth columns. In those give at least ten digits. First Column Second Third Fourth Fifth Sixth T 1 = T 2 = T 4 = T 8 = T 16 = T 32 =...
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## This note was uploaded on 07/14/2011 for the course MAC 3473 taught by Professor Block during the Spring '08 term at University of Florida.

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Test2Spr2010 - f x = x 2 x 3 over the interval[0,1 200 feet...

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