Solved: Consider the functions and (a) Find a set of parametric equations of the tangent
Chapter 13, Problem 69(choose chapter or problem)
Consider the functions
\(f(x, y)=6-x^{2}-y^{2} / 4\) and \(g(x, y)=2 x+y\).
(a) Find a set of parametric equations of the tangent line to the curve of intersection of the surfaces at the point (1, 2, 4), and find the angle between the gradient vectors.
(b) Use a computer algebra system to graph the surfaces. Graph the tangent line found in part (a).
Text Transcription:
f(x,y)=6-x^2-y^2/4
g(x,y)=2x+y
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