Suppose the vector-valued function r(t) = (f(t), g(t), h(t)) is smooth on an interval containing the point
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Suppose the vector-valued function r(t) = (f(t), g(t), h(t)) is smooth on an interval containing the point t0. The line tangent to r(t) at t = t0 is the line parallel to the tangent vector r'(t0) that passes through (f(t0), g(t0), h(t0)). 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'.
r(t) = (√2t + 1, sin πt, 4); t0 = 4
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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