Let f(x, y) = 3r²y - 6x² √ and let y(t) = (x(t), y(t)) be a curve in Oxy plane such that at some point to, we have y(to)= (-2,9) and y(to)= (-3,-4). Find the targent vector r/(to) of the curve r(t) = (x(t), y(t), f(x(t), y(t))) at the point to. O(-3,-4,76) O(-2,9,76) O(-3,-4, 84) O(-2,-2,84) O(-36, 8, -1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Let f(x, y) = 3r²y - 6x² √ and let y(t) = (x(t), y(t)) be a curve in Oxy plane such that
at some point to, we have y(to)= (-2,9) and y(to) = (-3,-4). Find the tangent vector
r/(to) of the curve r(t) = (x(t), y(t), f(x(t), y(t))) at the point to.
O(-3,-4,76)
O(-2,9,76)
O(-3,-4, 84)
O(-2,-2,84)
O(-36, 8, -1)
Transcribed Image Text:Let f(x, y) = 3r²y - 6x² √ and let y(t) = (x(t), y(t)) be a curve in Oxy plane such that at some point to, we have y(to)= (-2,9) and y(to) = (-3,-4). Find the tangent vector r/(to) of the curve r(t) = (x(t), y(t), f(x(t), y(t))) at the point to. O(-3,-4,76) O(-2,9,76) O(-3,-4, 84) O(-2,-2,84) O(-36, 8, -1)
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