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Could you help me with my calc work? Each side of a square is increasing at a rate of 5 cm/s. At what rate is

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Could you help me with my calc work?

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Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the square is 49 cm-? cm2/'sA cylindrical tank with radius 5 m is being filled with water at a rate of 3 m /min. How fast is the height of the water increasing? m/min IF TutorialA boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 4 m from the dock?A trough is 8 it long and its ends have the shape of isosceles triangles that are 3 it across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 12 ft /min, how fast is the water level rising when the water is 9 inches deep?Suppose V = 2x + 1, where x and y are functions of t. (a) If dx/dt = 6, find dy/dt when x = 4. By = d't (b) If dy/dt = 2, find dx/dt when x = 24. dx d'tA plane flying horizontally at an altitude of 1 mi and a speed of 430 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your answer to the nearest whole number.) mi/h

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