Unformatted text preview: 9. Look at the picture in problem 7 on the test 1. Label the corners of the shaded triangle as A , B , C , such that the point A is the point where the triangle touches the curve f ( x ) = x 2 , point B is the one directly below A and point C = (2 , 0) is ﬁxed. If the point be B starts at the origin and moves to the right with the speed of 1 cm s (assume all the lengths on the picture are in cm ), how fast is the angle 6 ( BAC ) changing a) when x = 1? b) when the area of the triangle ABC is maximal? 10. Two sides of a triangle have lengths 5 cm and 4 cm . The angle between them is increasing at a constant rate of 0 . 05 rad/h . Find the angle at which the rate of change of the third side is maximal....
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 Fall '06
 McAdam
 Derivative, Inverse Functions, Inverse function, 1 cm, 3 cm, 4 cm, 0.05 rad

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