mt1solyellow

mt1solyellow - Math 19A MIDTERM EXAM 1 Version 1 10/24/2008...

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Math 19A MIDTERM EXAM 1 Version 1 10/24/2008 , Dr. Frank Bauerle, UCSC Note: Show your work. In other words, just writing the answer, even if correct, may not be sufficient for full credit. Scientific calcula- tors are allowed, but no programmable and/or graphing calculators. Your Name: -----------'------------ Your TA's Name: ~ _ Problem 1: out of 20 Problem 2: out of 10 Problem 3: out of 10 Problem 4: out of 10 Problem 5: out of 10 Problem 6: out of 10 Problem 7: out of 10 Problem 8: out of 20 Total: out of 100 Good luck and have a good weekend! 1
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1. (20 points) Let A, B, C, D be real nurnber constants. Compute the requested derivatives of the functions: (a) dd y for y = (~x)3 _ \ \1'3 x 2 --'" ) Jy - [~~ =- ot~ - (b) y' for y = 3e x sinx ~/ z: ~r-~e-Y. .-s-'-V\.-~-+-3-e-'F-C()-s--X-J dz A rn g ~ (c) - for z = - + BeY - Cv D .::: A -u - f (3 -e -C-fD dy y8 J =-) ~ z: - 8 A ~- 9 -t () e !1 - 811 T J) e Y ~~ ~9 ~ -l
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2. (10 points) Let a be a real number and let 2 2 f (x) = { ax + a ~f x
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This note was uploaded on 01/06/2009 for the course MATH 19A taught by Professor Bauerle during the Fall '06 term at UCSC.

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mt1solyellow - Math 19A MIDTERM EXAM 1 Version 1 10/24/2008...

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