MATH 215 Final: finalf03
Document Summary
You do not need to simplify your answer, but we expect you to know and simplify some basic expressions, like 4 or cos . Please do all your work in this booklet and show all the steps. Some useful trigonometric identities: sin2 + cos2 = 1 sin2 = 2 cos 2 = cos2 sin2 cos2 = 2 sin 2 = 2 sin cos . Problem 1. (10 pts. ) (a 5 pts. ) Find the distance from the point p (3, 1, 7) to the plane z = 3x y + 4. (b 5 pts. ) Find parametric equations of the tangent line to the parametric curve x(t) = t cos( t) y(t) = t sin( t), z(t) = t2, at the point q(0, 1/2, 1/4). t 0. Consider the function f (x, y) = x2(y + 1) around the point p (1, 3). (a 3 pts. )
