f (x,y) = (x+1)/(x+2) - y
∇f = {1/(x+2)² , -1}
= {1/25,-1} ...... at (3,4/5)
x = 3 + t/25 ; y = 4/5 - t ........ is the desired line in parametric form
⇒ y = 1/5 (379 - 125x) ..... eliminate t
Answer: 125x + 5y = 379
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
f (x,y) = (x+1)/(x+2) - y
∇f = {1/(x+2)² , -1}
= {1/25,-1} ...... at (3,4/5)
x = 3 + t/25 ; y = 4/5 - t ........ is the desired line in parametric form
⇒ y = 1/5 (379 - 125x) ..... eliminate t
Answer: 125x + 5y = 379