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2 of 2 Q - + 2 | Page view A Read aloud | T Add text Draw Highlight Erase | | 6 9 6

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2 of 2 Q - + 2 | Page view A" Read aloud | T Add text Draw Highlight Erase | | 6 9 6 C. At what rate is the y-coordinate of the bug increasing at the point (2, 4)? 29. Fishing story An angler hooks a trout and reels in his line at 4 in / s. Assume the tip of the fishing rod is 12 ft above the water and directly above the angler, and the fish is pulled horizontally directly towards the angler (see figure). Find the horizontal speed of the fish when it is 20 ft from the angler. a Decreasing at 4 in/s 12 ft b) Draining a tank An inverted conical water tank with a height of 12 ft and a radius of 6 ft is drained through a hole in the vertex at a rate of 2 ft / s (see figure). What is the rate of change of the water depth when the water depth is 3 ft? (Hint: Use similar triangles.) 6 ft 12 ft Outflow 2 ft3/s

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