Exer. 2128: Use synthetic division to find the quotient and remainder if the first polynomial is divided by the second.

MATH 2450, Test 1 Review 1. Find an equation for the plane passing through the point Q(1;▯2;3) and is perpendicular to both 3x + 5y ▯ 2z = 6 and x ▯ y + 4z = ▯7. ▯1 p 3 2. Find the length of the curve de▯ned by the vector function R(t) = ▯t i + t 6j + t k on the interval [1;2]. 3. Find the position vector R(t) and velocity vector V(t) if p 2t A(t) = 3 ti ▯ 4e j + 5sintk R(0) = ▯k ; V(0) = i + 2j ▯ 3k For problems 4-6, use the vector function R(t) = e cos(t)i + e sin(t)j + e k. 4. Find the unit tangent vector T at any point t on the curve. 5. Find the principal un