MTH 254 Midterm: MTH 254 Oregon State Midterm
31 Jan 2019
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M id term s p rin g 2000 m ath 254h 100 p oints. If you have any questions about what you are supposed to do ask: (10 points) calculate the angle between ~v = h 1, 2, 1i and ~ = h1, 0, 0i. You may give your answer in either radians or degrees, but specify which units please: (10 points) suppose that the points p (1, 2, 3), q(4, 4, 6), and r(a, 0, b) are colinear in r3. What is the number a? a : (10 points) let be the line with vector equation ~r = t~v + ~r0 where. Suppose that the height is 20 inches and the radius is 15 inches. Suppose also that the radius is growing at 3 inches per second and the height is decreasing at 2 inches per second. Do not use your calculator. f (1. 95, 3. 01) : (10 points) sketch the region of integration and change the order of integration.
