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**Unformatted text preview: **y 2 + 40 y + 4 x 2-20 = 0. 8. Find the slope of the tangent line to the polar curve r = 1 + 4 sin( θ ) when θ = π/ 4. 9. Compute the cosine of the angle between a = < 1 ,-2 , 3 > and b = < 2 , ,-1 > . Assume the paper is the plane containing these vectors and we are looking down on these vectors as pictured to the right. Would a × b be pointing into or out of the page? 10. Find the equation of the plane containing the points P (1 , , 0), Q (0 ,-3 , 0), R (0 , ,-5). 11. Graph the cross-section (trace) in the plane y = 3 of the surface in R 3 given by z 2 25 + y 2-x 2 4 = 5 Label the axes of the plane....

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