Find the maximum and minimum values attained by the function falong th

Susan Munoz

Susan Munoz

Answered question

2021-12-02

Find the maximum and minimum values attained by the function falong the path c(t).
f(x,y)=x2y2; c(t)=(cos(t), 3sin(t)); 0t2π

Answer & Explanation

juniorekze

juniorekze

Beginner2021-12-03Added 18 answers

f(x,y)=x2y2; c(t)=(cos(t), 3sin(t)); 0t2π
f(t)=cos2t+3sin2t=1+sin2t
0sin2t1
f(x)max=1+8=9
f(x)min=1+0=1

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