Question

Given that x and y are functions of​ time, find the indicated rate of change. Find dy/ dt when x equals = 2 and dx/ dt equals = −3​, given that x3+y3=35.

Answer 1

- Given, x² + y² = 35 o and dx = -3 e x=2. 2 = 2 S Som differentiation 介 Differentiating equ o both sides e (2°+y*) = a (35) * 4 (1) + 4 ) = 0 ( 7 constant co. → 3x² da 2 + 3y - det er 20 {Chain Rule} when x=2 , dx =-3 putting these values above, 3623+ (-3) + By doing → +36 + By so → you dogle = 12 - O x =2 y=2 from 0, when a=3, 33+ y² = 35 » 9²=8 Putting y=2 in eq=0 z due = 12 = 3 JA dt