The diagram shows part of the curve of y = 9x 2 x 3 , which

Question:

The diagram shows part of the curve of y = 9x2 – x3, which meets the x-axis at the origin O and the point A. The line y – 2x + 18 = 0 passes through A and meets the y-axis at the point B.


a. Show that, for x ≥ 0, 9x2 – x3 ≤ 108.

b. Find the area of the shaded region bounded by the curve, the line AB and the y-axis.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: