Two functions that have the same local linearization at apoint have contours that are
Chapter 14, Problem 36(choose chapter or problem)
Two functions that have the same local linearization at apoint have contours that are tangent at this point.(a) If fx(a, b) or fy(a, b) is nonzero, use the local linearizationto show that an equation of the line tangentat (a, b) to the contour of f through (a, b) isfx(a, b)(x a) + fy(a, b)(y b)=0.(b) Find the slope of the tangent line if fy(a, b) = 0.(c) Find an equation for the line tangent to the contourof f(x, y) = x2 + xy at (3, 4).
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