Homework Chapter 1.docx - Chapter 1 Homework 1...

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Chapter 1 Homework 1. Differentiate each of the following functions. a) 7 2 3 15 6 y x x b) 2 7 x x y e c) 2 2 x y x e d) x 7 e 3
2. Evaluate the following integrals. 3
3. Evaluate the following definite integrals. 1 1 1 1
4. For each of the following integrals, determine (wisely guess) if the integral converges or diverges. All answers are “Converges” or “Diverges”. a) 2 1 x dx b) 2 0 1 1 dx x c 2 0 1 x dx x
0 1
5. Determine the value of c, so that the given definite integral integrates to 1.

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