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# Test3_10 - 3 5 Use Romberg Integration to estimate the...

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1 Name MAC 3472 Honors Calculus I Keesling Test 3 12/3/10 Do all problems. Explain your answers and show all work. Each problem is 20 points. 1. The following figure is rotated around the y –axis. Determine the volume and surface area of the result. 2. Evaluate the following integrals. (a) 1 x 2 ! 4 " dx (b) 1 x 2 + 4 dx ! b a c y ! axis

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2 3. Determine the arc length of the graph of the function f ( x ) = x 2 over the interval [1,2] . 4. Determine x and y for the area under the curve x 3 over the interval [2, 3]
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Unformatted text preview: . 3 5. Use Romberg Integration to estimate the following integral. In your calculator program use n = 6 so that you get a 7 ! 7 matrix as your result. Choose the number from that matrix that is the best estimate of the integral. Indicate how many digits of the answer are reliable and why. [You only need to include four digits in the table except for the three best estimates. For those include twelve digits.] cos( x 3 ) dx 2 !...
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Test3_10 - 3 5 Use Romberg Integration to estimate the...

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