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 att=to. r(t) = (9+ cos t,10 + sin 16t,2t); t, =
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 att=to. r(t) = (9+ cos t,10 + sin 16t,2t); t, =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 = t, is the line parallel to the
tangent vector r' (t,) that passes through (f(*o).g (to).h (to)). For the following function, find the line tangent to the curve att= to.
r(t) = (9+ cos t,10 + sin 16t,2t); to = 7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F832d6a16-b1d3-46cf-bc1d-5b27ac81453e%2F58fece2c-cf4c-46e0-8167-9cbb4e0cb62e%2Fiv8o7cm_processed.png&w=3840&q=75)
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 = t, is the line parallel to the
tangent vector r' (t,) that passes through (f(*o).g (to).h (to)). For the following function, find the line tangent to the curve att= to.
r(t) = (9+ cos t,10 + sin 16t,2t); to = 7
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