Essential Calculus

University of Alabama in Huntsville maths 201 Section 1, Spring 2008 utmost exam exam trial: mathematics 201 Section 1 Full signalize: ................................................................................................ bookman ID Number............................................................. scar: You need to commemorate all your WORK in order to have honorable CREDIT. The use of CALCULATOR is blackball during the exam. There argon 10 tasks (30 points apiece ) on the trial run and one bonus problem worths 40 points on this final examination psychometric test. Read each question care all-embracingy The Final is 2 and 1/2 hours yen or cl minutes grooming and Quizzes: 150 pts Midterms: 550 pts Final Exam : 300 pts Final row oer megabyte Letter Grade Note that you need at least(prenominal) 600/1000 to make a grade of C ? . 1  set 1. (30 points) If u = i ? j + k and v = i + j + k finger the cosine of the angle in the midst of the transmitters u and v For what values of the everlasting b are the vectors v indifferent? and w = i + b j move up the field of force of the parallelepiped spanned by the vectors u and v 2 Exercise 2.

(30 points) Find the vector equation of the line by P (2, 1, 3) perpendicular to the skip 3x ? 4y + z ? 5 = 0 devil particles P1 and P2 have position vector r1 (t) =< 1, t + 3, ?t > and r2 (t) =< 2t ? 1, 1 + 3t2 , t3 ? 2 > respectively at succession t. Do the particles shake up? If they collide, at what point does the striking give? 3 Exercise 3. (30 points) The coerce, account book and Temperature of an ideal gas are related to by P V = 8.31T or that as a function of Temperature T and Volume V , the coerce P is given by P (T, V ) = 8.31T where P is metric in kilopascals, V in liters and V T in kelvins. Use di?erentials to ?nd the approximate change in the pressure if the volume increases from 12L to 12.3L and the temperature decreases from 310K to 305K. let f (x, y) = 20 ? x2 ? 7y 2 , Find the additive approximation to f (x, y) at (2, 1) Use the...If you fatality to render a full essay, order it on our website: Ordercustompaper.com

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