Solved: 6871. Tangent lines Suppose the vector-valued
Chapter 11, Problem 69(choose chapter or problem)
6871. Tangent lines Suppose the vector-valued function r1t2 = 8f 1t2, g1t2, h1t29 is smooth on an interval containing the point t0. The line tangent to r1t2 at t = t0 is the line parallel to the tangent vector r1t02 that passes through 1 f 1t02, g1t02, h1t022. For each of the following functions, find an equation of the line tangent to the curve at t = t0. Choose an orientation for the line that is the same as the direction of r. r1t2 = 82 + cos t, 3 + sin 2t, t9; t0 = p>2 7
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