A curve has equation

and A(3, 2) is a point on the curve.

a. Find the equation of the normal to the curve at the point A.
b. A point P(x, y) moves along the curve in such a way that the y-coordinate is increasing at a constant rate of 0.05 units per second. Find the rate of increase of the x-coordinate when x = 4.

Transcribed Image Text:

y 6 9-2x