Q: A baseball diamond is a square with side 90 ft. A
A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 24 ft/s. (a) At what rate is his distance from second base decreasing when he is halfw...
See AnswerQ: The altitude of a triangle is increasing at a rate of 1
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitude...
See AnswerQ: A boat is pulled into a dock by a rope attached to
A 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...
See AnswerQ: At noon, ship A is 100 km west of ship B
At noon, ship A is 100 km west of ship B. Ship A is sailing south at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 pm?
See AnswerQ: A particle moves along the curve y = 2 sins(πx
A particle moves along the curve y = 2 sins(πx/2). As the particle passes through the point (1/3 , 1), its x-coordinate increases at a rate of 10 cm/s. How fast is the distance from the particle to...
See AnswerQ: Water is leaking out of an inverted conical tank at a rate
Water is leaking out of an inverted conical tank at a rate of 10,000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at t...
See AnswerQ: A trough is 10 ft long and its ends have the shape
A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 12 ft3/min, h...
See AnswerQ: A water trough is 10 m long and a cross-section
A water trough is 10 m long and a cross-section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. If the trough is being filled wit...
See AnswerQ: A swimming pool is 20 ft wide, 40 ft long,
A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at its deepest point. A crosssection is shown in the figure. If the pool is being filled at a rate of 0.8 ft3/min...
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