Suppose the vector-valued function r(t)= (f(t).g(t),h(t)) is smooth on an interval containing the point to. The line tangent to r(t) at t=to is the line parallel to the tangent vector r' (to) that passes through (f(to) g (to).h (to)). For the following function, find the line tangent to the curve at t= to. A r(t) = (15+ cost, 3+ sin 20t,2t); to = 2 The line tangent to the curve at t= to is 0.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...
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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 to. The line tangent to r(t) at t=to is the line
parallel to the tangent vector r' (to) that passes through
(f(to).g (to).h (to)). For the following function, find the line tangent to the
curve at t= to.
π
r(t) = (15+ cost,3+ sin 20t,2t); to = 2
The line tangent to the curve at t= to is .
Transcribed Image Text:Suppose the vector-valued function r(t)= (f(t).g(t),h(t)) is smooth on an interval containing the point to. The line tangent to r(t) at t=to is the line parallel to the tangent vector r' (to) that passes through (f(to).g (to).h (to)). For the following function, find the line tangent to the curve at t= to. π r(t) = (15+ cost,3+ sin 20t,2t); to = 2 The line tangent to the curve at t= to is .
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