M 408C Study Guide - Midterm Guide: Cross Product, Parallelogram
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Find the largest interval of convergence for. Differentiate a geometric series to find a power series expansion for (1+ x)2 . 3) as an infinite series. A car is moving with speed 20 m/s and acceleration 2 m/s2 at a given instant. Using a second- degree taylor polynomial, estimate how far the car moves in the next second. Find the slope of the tangent line to the polar curve at the point given by r = cos2 . 7) write the integral for the area of the region inside the curve given by but outside r =1. Find the scalar and vector projections of b=(1, 2, 3) onto a=(3, 6, - 2). Name________________________________ eid_____________ Each numbered problem is worth 10 points. Find the area of the triangle with vertices p(1, 2, 3), q(3, 2, 1), and r(1, 1, 1). Hint: the norm of the cross product of two vectors is the area of the parallelogram they form.
