Question: 10. A straight line having inclination 0 (0,) {} and passing through the origin 0 meets the parabola y = x at the points

$10. A straight line having inclination 0 (0,) \{} and passing through$

10. A straight line having inclination 0 (0,) \{} and passing through the origin 0 meets the parabola y = x at the points O and A as shown in the diagram on the right. Another straight line through A and parallel to the y-axis is drawn to intersect the x-axis at the point B. Suppose that is increasing at a rate of 1/3 radians per minute. (a) When, find the rate of change of the area of AOBA. (b) When the length OA is 2 units, find the rate of change of the length of OA. Page 2 of 5 y = x B

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