Find the maximum and minimum values attained by the function

Donald Johnson

Donald Johnson

Answered question

2021-12-09

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

Answer & Explanation

Elaine Verrett

Elaine Verrett

Beginner2021-12-10Added 41 answers

f(x,y)=xy; c(t)=(cos(t), sin(t)); 0t2π
f(t)=cos(t), sin(t)=12sin2t
1sin2t1
f(x)max=12
f(x)min=12

stomachdm

stomachdm

Beginner2021-12-11Added 33 answers

yep, got it!

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