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Unformatted text preview: x ) at / 4. 3. Use the limit function to evaluate the following limit: lim h ln( x + h )-ln( x ) h Describe what you just did. 4. Evaluate the following dierentials: (a) df dx of f ( x ) = ln( x ) (b) df dx of f ( x ) = sin( x ) cos( x ) Give the simplest form of the answer. (c) f x of f ( x,y ) = x 2 y-y 3 + 2 x 2-3 x 3 y 4 (d) f y of f ( x,y ) = x 2 y-y 3 + 2 x 2-3 x 3 y 4 5. Evaluate the following integrals: (a) R x cos( x ) dx Verify this result by hand. (b) R e x sin( x ) dx (c) R 2 x ln( x ) dx (d) R 2 sin( x ) cos( x ) dx...
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This note was uploaded on 04/29/2009 for the course ASE 201 taught by Professor Hayes during the Spring '07 term at University of Texas at Austin.
- Spring '07