MATH 265 Quiz: MATH 265 Quiz 1
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Quiz 1 problems: find all solutions (x, y) to the following: xy x + 2y = 2 x2 + 5x + 4y = 0, let g(x) = ln(cid:18) x2 sin x(cid:19). Find g (x): find the tangent line to f(x) = xex at x = 2, let h(x) = 2x3 9x2 + 12x 2. How fast is the plane moving relative to the ground: find the projection of ~u = i + 5j + 3k onto the vector ~v = i + j 3k. At time t = 1 you let go of the egg. Cartesian coordinates: describe, by picture and short explanation, the set of points satisfying > /4 and 6 2, rewrite 2 = sec(2 ) in cartesian coordinates and cylindrical coordinates, rewrite = 1 cos + sin in cylindrical coordi- nates and sketch the surface: write = 1. Find the plane perpendicular to this curve at time t = 2.
