Assignment 7 - Solution: y ( x ) = Question 2. Evaluate the...

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MAT 1330, Fall 2010 Assignment 7 Due Wednesday December 1, at the beginning of class. Late assignments will not be accepted; nor will unstapled assignments. Instructor (circle one): Frithjof Lutscher Angelika Welte Aziz Khanchi Robert Smith? DGD (circle one): 1 2 3 4 Student Name Student Number By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. Signature Question 1. Solve the di±erential equation dy dx = xe - x with initial condition y (0) = 5.
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Unformatted text preview: Solution: y ( x ) = Question 2. Evaluate the following integrals. a) ! cos x sin 2 x dx . 1 b) ! cos( /x ) x 2 dx . c) ! (ln x ) 2 x dx . d) ! t 2 e t dt . 2 e) ! x x + 10 dx . Question 3. First make a substitution and then use integration by parts to evaluate cos x dx . Step 1. Substitution: Step 2. Integration by parts: 3 Question 4. Use trigonometric identities (e.g. sin 2 x + cos 2 x = 1) and an appropriate substitution to evaluate ! sin 5 x cos 10 x dx . 4...
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Assignment 7 - Solution: y ( x ) = Question 2. Evaluate the...

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