Question

Consider the function f(x,y)=y+sin(x/y) a) Find the equation of the tangent plane to the graph offat...

Consider the function f(x,y)=y+sin(x/y)

a) Find the equation of the tangent plane to the graph offat the point(1,3)

b) Find the linearization of the function f at the point(1;3)and use it to approximate f(0:9;3:1).

c) Explain why f is differentiable at the point(1;3)

d)Find the differential of f

e) If (x,y) changes from (1,3) to (0.9,3.1), compare the values of ‘change in f’ and df

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