A spherical balloon currently has a radius of 20 cm. If the radius is still growing at a rate of 5 cm per second, at what rate is air being pumped into the balloon? 3 cm° / second |cm³ Round your answer to the nearest hundredth.

Q: A hot air ballon rises vertically upwards from a distance of 170m away. If the angle 0 at which you…

A: To Determine: how fast is the ballon rising when θ=π6 Given: A hot air balloon rises vertically…

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: Length of ladder is l= 10ft X=8 ft, dx/dt= 18ft/sec From the fig l =[ x2 + y2 ]0.5= 10 a) from…

Q: The bast x of the right triangie in the figure, increases at a rate of 5 cm/s, while the nei ght…

A:

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: A hot air balloon rising vertically is tracked by an observer located 6 km from the lift-off point.…

A: Given y be the height of the Ballon ,t be time and theta the angle between the line of sight and the…

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A: The formula for  volume of sphere is: V=43πr3 Given that dVdt=16 in3/secr=2

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A: Givev:r=7ftv=17mi/hr

Q: A hot air balloon rising vertically is tracked by an observer located 4 km from the lift-off point.…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle…

A: Let's solve given rate of change problem.

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Q: A kite 100 ft above the ground moves horizontally at a speed of 13 ft/s. At what rate is the angle…

A:

Q: A hot air balloon rising vertically is tracked by an observer located 6 km from the lift-off point.…

A: The objective of the problem is to find the speed at which the balloon is rising at the given…

Q: A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point.…

A: topic - trigonometric ratios and application of derivatives

Q: A spy uses a telescope to track a rocket launched vertically from a launching pad 6 km away, as in…

A: Given that

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: The Cleveland City Cable Railway had a 14-foot-diameter pulley to drive the cable. In order to keep…

A:

Q: The radius of a circle is decreasing at a rate of 3 cm/sec. At what rate is the area of the circle…

A: The radius of a circle is decreasing at a rate of 3 cm/sec. At what rate is the area of the circle…

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A: dy/dt = rate of moving of tip of shadow dp/dt = rate of change in length of shadow

Q: If a ladder of length 20 ft which is leaning against a vertical wall has its upper end sliding down…

A: Given:         Length of ladder =20 ft    dhdt=-2 ft/sec

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A: h(t)=-4.9t^2+28t+37

Q: Need help solving this and worked out solution im confused as to where to start. Its related rates

A: It is given that the kite 100 ft above the ground moves horizontally at a speed of 14 ft/s.

Q: A ladder 25 ft long rests against a vertical wall. If the bottom of the ladder is sliding away at a…

A:

Q: 9. A ladder 10ft long rests against a vertical wall. If the bottom of the ladder slides away from…

A:

Q: A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point.…

A: topic- application of derivatives

Q: A hot air balloon rising vertically is tracked by an observer located 6 km from the lift-off point.…

A: Here we will find how fast is the balloon rising,

Q: 20. If a point R on the unit circle moves along the circle at the rate of 1 unit per second, then…

A: Given: A point R on the unit circle moves along the circle at the rate of 1 unit per second. To find…

Q: 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base is…

A:

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Q: A hot air balloon rising vertically is tracked by an observer located 5 km from the lift-off point.…

A: Given: x=5 km θ=π5 raddθdt=0.3 rad/min The person and the hot air balloon form a right triangle,…

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A:

Q: A 10-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A: Rate of change

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A: A spring mass system of mass m and spring constant k vibrating with an amplitude A at an angular…

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Q: A kite 100 ft above the ground moves horizontally at a speed of 10 ft/s. At what rate is the angle…

A:

Q: A man walks along a straight path at a speed of 5 ft/s. A search light is located on the ground 12…

A: Hypotenuse is the longest side of any right angle triangle. Pythagoras theorem states that the…

Q: A hot air balloon rising vertically is tracked by an observer located 7 km from the lift-off point.…

A: topic - application of derivatives

Q: What constant acceleration is required to increase the speed of a car from 20 mi/h to 53 mi/h in 3…

A:

Q: A kite 100 ft above the ground moves horizontally at a speed of 11 ft/s. At what rate is the angle…

A: For the given scenario, a rough sketch is as follows:

Q: A hot air balloon rising vertically is tracked by an observer located 4 km from the lift-off point.…

A: A Hot air balloon is rising vertically . Angle between observer's line of sight and ballon is pi/5.…

Q: A winch is on top of a pole that is 25 ft high and it is using a rope to pull object A. The rope is…

A: Let the distance of the object from the wall is x. the length of the rope is L and the length of the…

Q: Find the amplitude, period and frequency of the simple harmonic motion of a particle moving…

A: We are given that a particle is moving uniformly around a circle of radius 3 units, with angular…

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A: see below the answer and explanation

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A: Consider the given velocity function as vt=20cospt

Q: A 15 feet long ladder is leaning against the wall. The bottom of the ladder is sliding away from the…

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Q: 10. A ladder 13 ft. long leans against a vertical wall. If the top slides down at 1.5 ft. per sec.,…

A: Definition used-         In a right angle triangle -…

Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

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Q: 1. A 13-ft ladder is leaning against a house when its base is being pushed towards the wall. By the…

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Q: Assume a spring is oscillating and the length of the spring can be described as sin (t) L (t)=- What…

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