Final 1

# Final 1 - Name Section Number TA Name Section Time Math 20C...

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Name: Section Number: TA Name: Section Time: Math 20C. Final Examination June 10, 2004 You may use one page of notes and a calculator, but no other assistance on this exam. Read each question carefully, answer each question completely, and show all of your work. Write your solutions clearly and legibly; no credit will be given for illegible solutions. If any question is not clear, ask for clariFcation. 1. Consider the two planes given by 2 x y + z = 5 and x + y z = 1. (a) Find the angle (in radians) between the two planes. You may leave your answer in the form of an inverse trigonometric function of a number. (b) Find a vector equation for the line of intersection of the two planes. # Score 1 2 3 4 5 6 7 8 Σ

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2. A particle moves through space with velocity function v ( t )= °− 2 t, 1 , 2 t ± . (a) Compute the acceleration function of the particle. (b) Assuming the particle is located at the origin when t = 1, compute the position function for the particle.
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Final 1 - Name Section Number TA Name Section Time Math 20C...

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