Question

please find the answer quickly..plz

Answer 1

Answer:

(- 1, 1/3) and (1, 5/3)

Step-by-step explanation:

The y-coordinate is changing twice as fast as the x-coordinate means

dy = 2dx ⇒ dy/dx = 2 .... (1)

Differentiate of given function y = (2/3) x³ + 1 with respect to "x" :

dy/dx = 2x² .... (2)

After taking into consideration (1) and (2) we have

2x² = 2

x² = 1 ⇒ $x_{12}$ = ± 1

If $x_{1}$ = - 1, then $y_{1}$ = (- 1)³ + 1 = 1/3

If $x_{2}$ = 1, then $y_{2}$ = (2/3) + 1 = 5/3

Thus we have points :

(- 1, 1/3) and (1, 5/3)