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practice1 - Exam 1 M175-004 Spring 2004 Name(1 pt Show all...

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Exam 1 M175-004 Spring, 2004 Name: (1 pt.) Show all your work. If you use your calculator to do anything beyond arithmetic or graphing, be sure to indicate “Here I used my calculator” somehow. If a problem says “Write an integral for...,” you must express everything in terms of your variable of integration. If you compute an integral, show your work and don’t skip any big steps. I have to know that you did it, not your calculator. 1. (10 pts.) Let R be the region enclosed by the curves y = 1 - x 3 , y = 0 , x = 0 (a) Chose an axis of integration. (b) Draw a typical slice of area. (c) Compute the area of that slice. (d) Write an integral for the total area of R . 2. (15 pts.) Suppose that the region from Problem 1 is a sheet of material with variable density: ρ = ( x + 1) g/cm 2 . The axes are measured in cm. Find the total mass. You ARE allowed to reuse anything from Problem 1 without showing work. You are NOT allowed to use your calculator to evaluate the integral. Do it yourself and show all the steps.

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practice1 - Exam 1 M175-004 Spring 2004 Name(1 pt Show all...

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