The diagram shows the curve y = 2x² and the points X(−2, 0) and P(p, 0) . The point Q lies on the curve and PQ is parallel to the y-axis.

i. Express the area, A, of triangle XPQ in terms of p.
The point P moves along the x-axis at a constant rate of 0.02 units per second and Q moves along the curve so that PQ remains parallel to the y-axis.
ii. Find the rate at which A is increasing when p = 2.

Transcribed Image Text:

X (-2, 0) y 오 y = 2x² P(p. 0) x