Question

Given the function f (x, y) = e−x · sin(x + y) b) Study its homogeneity and calculate the degree of homogeneity, if applicable . c) Calculate f(t) when t = 1 if x(t) = t2 + 1, y(t) = ln(t)

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c) t = 1
x\left(t\right)=t^2+1\Rightarrow x\left(1\right)=1^2+1=2
y\left(t\right)=\ln\left(t\right)\Rightarrow y\left(1\right)=\ln\left(1\right)=0
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