Essential Calculus

University of Alabama in Huntsville Math 201 Section 1, Spring 2008 last exam trial: MATH 201 Section 1 plentiful Name: ................................................................................................ bookman ID Number............................................................. Note: You need to SHOW all your work in order to have full CREDIT. The use of computing device is interdict during the exam. There argon 10 problems (30 points each ) on the trial and one bonus problem worths 40 points on this final examination Exam. Read each question cautiously The Final is 2 and 1/2 hours long or cl minutes Homework and Quizzes: 150 pts Midterms: 550 pts Final Exam : 300 pts Final Grade oer megabyte letter Grade Note that you need at least 600/ green to make a grade of C ? . 1  manage 1. (30 points) If u = i ? j + k and v = i + j + k Find the cosine of the angle in the midst of the vectors u and v For what values of th e constant b atomic number 18 the vectors v indifferent? and w = i + b j Find the area of the parallelepiped spanned by the vectors u and v 2 Exercise 2.

(30 points) Find the vector equation of the creese through P (2, 1, 3) perpendicular to the plane 3x ? 4y + z ? 5 = 0 Two particles P1 and P2 have position vector r1 (t) =< 1, t + 3, ?t > and r2 (t) =< 2t ? 1, 1 + 3t2 , t3 ? 2 > respectively at era t. Do the particles collide? If they collide, at what point does the collision carry? 3 Exercise 3. (30 points) The coerce, Volume 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 pinc h P is given by P (T, V ) = 8.31T where P is! metric in kilopascals, V in liters and V T in kelvins. exercise 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 want to render a full essay, order it on our website: OrderEssay.net

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