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Determine the tangent line to the graph of r(t) = (14 cos(πt), 14 sin(πt), 2t) at the point 1 Take the following steps: (Express your answers in exact form.) 3 corresponding to t (a) Find 7 (b) Find ' x (t) and The tangent line I to the graph of a vector valued function r(t) at t = a can be described in vector form by Ī = ŕ(a) + t ·ř' (a). By combining vectors we can express this as Ỉ(t) = (x(t), y(t), z(t)) where y(t) and - (G) 3 = z(t) = = = 10

Determine the tangent line to the graph of r(t) = (14 cos(πt), 14 sin(πt), 2t) at the point 1 Take the following steps: (Express your answers in exact form.) 3 corresponding to t (a) Find 7 (b) Find ' x (t) and The tangent line I to the graph of a vector valued function r(t) at t = a can be described in vector form by Ī = ŕ(a) + t ·ř' (a). By combining vectors we can express this as Ỉ(t) = (x(t), y(t), z(t)) where y(t) and - (G) 3 = z(t) = = = 10

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine the tangent line to the graph of r(t) = (14 cos(πt), 14 sin(πt), 2t) at the point 1 Take the following steps: (Express your answers in exact form.) 3 corresponding to t (a) Find 7 (b) Find ' and y(t): The tangent line Ỉ to the graph of a vector valued function r(t) at t = a can be described in vector form by Ir(a) + tr' (a). By combining vectors we can express this as Ỉ(t) = (x(t), y(t), z(t)) where x (t) and (G) 3 = z(t) = = = 11
Transcribed Image Text:Determine the tangent line to the graph of r(t) = (14 cos(πt), 14 sin(πt), 2t) at the point 1 Take the following steps: (Express your answers in exact form.) 3 corresponding to t (a) Find 7 (b) Find ' and y(t): The tangent line Ỉ to the graph of a vector valued function r(t) at t = a can be described in vector form by Ir(a) + tr' (a). By combining vectors we can express this as Ỉ(t) = (x(t), y(t), z(t)) where x (t) and (G) 3 = z(t) = = = 11
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