2. Prove that if d is a metric for X, then another metric d' for X is given by if a ≤ b " if b ≤ a (a) d'(x, y) a, b. (b) d'(x, y) = = min{1, d(x, y)}, where min{a, b} d(x,y) 1+d(x,y* = a b for any real numbers

Q: suppose or be the same TO X-(X,X2) And page. Y =(Y1,Y2) %3D 1/2 dz (X,y) = ( \xq-Yal"+ |x2-Y2T) max.…

A: As per company rule we will solve the first part. For other parts kindly post in other question.

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Q: Let k(x)=f Cx) A) K') B) K' (2) C)K' 3)

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Q: 2. Draw a contour map of function f(x, y) = 2x/(x² + y²) showing several level curves.

A: We Know that  The level curves of a function f of two variables are the curves with equations f(x,y)…

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Q: 6) What is the tangent plane of f (x, y) = 5x² – 2xy? + 3xy + 4x at point (xo, Yo) = (1, –2) ?

A: The question is solved in step. 2

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A: We will use the definition of incidence geometry to solve the problem.By definition, a geometry…

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Q: =

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Q: iv is analytic = -11..

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A: To find: Work done by the field on the particle moving along the loop.

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A: Solution for 9 (a): The equation that generates the given graph is choice (e): x2+y22=z2

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