Question

PLEASE HELP, 50 POINTS QUESTION IS IN THE PICTURE

Answer 1

Answer:

- 50/3

Step-by-step explanation:

Answer 2

Answer:

$-\frac{50}{3}$

Step-by-step explanation:

Find dy/dx of the ellipse  $25x^{2} +y^{2}=109$ at (2,3)

Using Implicit Differentiation

Differentiate both sides of the equation with respect to x

$25x^{2} +y^{2}=109$

$50x +2y\frac{dy}{dx}=0$

isolate the term dy/dx

$2y\frac{dy}{dx}=-50x$

$\frac{dy}{dx}=-25\frac{x}{y}$

Evaluate at point (2,3)

For x=2, y=3

$\frac{dy}{dx}=-25(\frac{2}{3})$

$\frac{dy}{dx}=-\frac{50}{3}$