20. Il: Antiderivatives A car is being driven at a rate of 40 mph when the brakes are applied. The car decelerates at a constant rate of 10ft/sec2. How long before the car stops?

Q: The volume of a cube decreases at the rate of 84 m /sec. The rate at which the side of т the cube…

A: To find the rate at which the side length of cube changed when side is equal to 8 m/s

Q: (a) A barrel shaped like a hemisphere of radius r dm, filled with a liquid as high as h dm. Get the…

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Q: 2. How can you relate the rate of change for the surface area of a cube (dSA/dt) as compared with…

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Q: Water is running out of a conical tank 3m across the top and 4 m deep at the rate of 2m3/min. Find…

A: Here, the volume of the conical tank is: V=13πr2h   ...(1) Here, here triangles ABC & DEC are…

Q: 6) A chemical flow into a storage tank at a rate of 180 + 3t liters per minute, where 0st< 60. Find…

A: Given: Rate of flow of chemical in tank in liters per min: dVdt=180+3t 0≤t≤60

Q: 1. A paper cup has the shape of a cone with height 12 cm and radius 4 cm (at the top). If water is…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1. Oil is being pumped into a huge cylindrical oil drum with diameter 3 m and length 6 m at a rate…

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Q: 2)The radius of a sphere decreases at the rate of 1 m/sec. Find the rate at which the volume…

A: Given,  The radius of a sphere decreases at the rate of 1 m/sec  We have to find the rate at which…

Q: 2. The edge of a cube decreases at a rate of 2.5m/s. Find the rate at which the surface area…

A: Application of derivatives.

Q: 12. The height of a right circular cone is increasing at 3mm/s and its radius is decreasing at…

A: Volume of a right circular cylinder is given by formula,  V=πr2h , where r is the radius of circular…

Q: is pumped into the tank at the rate of 5 L/s and the well-stilled mixture fl me rate. How long will…

A: Please refer to the image below

Q: The radius of a circle is growing at a constant rate of 3 in./sec. (a) What is the area of the…

A: Introduction :

Q: A gas in a container has an initial volume of 7L and an unknown temperature. The final temperature…

A: Given,Initial volume of a gas container, V1 = 7LFinal volume of a gas container, V2 = 12LFinal…

Q: The conical watering pail with height 0.45 m and radius 0.15 m has a grid of holes. Water flows out…

A: Since multiple questions given , firs question is answered step by step. Please repost for more help…

Q: 8. The radius of an inflating balloon in the shape of a sphere is changing at a rate of 3cm/sec. At…

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Q: 9. Water flow from the bottom of a storage tank at a rate of r(t) = 100 – 4t liters per minute. Find…

A: We have to find the amount of water after 5 minutes

Q: A tank initially holds 80 of brine solution containing 1/8 b of salt per gallon. At t-0. another…

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Q: A circle has a radius of 5 cm jf the radius is increased by 0.l mm., what is the estimated increase…

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Q: Question: A tank has 65 gallons of water. Brine solution with 2.5lbs of salt per gallon of solution…

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Q: A tank contains 5001 of a solution consisting of 30 kg of salt dissolved in water. Pure water umped…

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Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

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Q: 2) The radius of a sphere decreases at the rate of 2 m/sec. Find the rate at which the volume…

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Q: Ise a total differential to approximate ound your answers to two decimal pl f = af = [

A: We are given a two variable function fx,y and point P4,-5,3 and Q3.98,-5.02,3.02. fx,y,z=2xy2z3. To…

Q: 2. The radius of a sphere decreases at the rate of 5 m/sec. Find the rate at which the volume…

A: Given that the Radius of sphere decreases at the rate of 5m/sec and radius is 5 m

Q: 1. A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially…

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Q: 12. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 20…

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Q: 1. A spherical balloon is being inflated so that the volume is increasing at the rate of 5 ft.³ per…

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Q: 1. We are inflating a spherical balloon. At what rate is the volume of the balloon changing when the…

A: Since you have asked multiple question (1&amp;2) we will solve the first question for you. . If you…

Q: 2)The radius of a sphere decreases at the rate of 4 m/sec. Find the rate at which the volume…

A: We need to find the rate at which volume decrease when radius is 3m

Q: 4. A leaking triangular trough, 5 ft across, 9 ft in length and with a depth of 6 ft, is continually…

A: Given that, the length L= 9 ft, the rate of filling = 17 ft3/min and the rate of leaking = 0.25…

Q: Suppose you are drinking root beer from a conical paper cup. The cup has a diameter of 8 cm and a…

A: Given, The diameter of a conical paper cup is 8 cm Therefore, the radius of the cup is 4 cm The…

Q: 20. The length of a rectangle is increasing at a rate of 5 cm/sec and the width is decreasing at a…

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Q: 1. The volume of a cube decreases at a rate of 10 m/sec. Find the rate at which the side of the cube…

A: The explanation of solution as follows:

Q: The conversion of ammonium cyanide to urea is a second-order reaction. This means that the…

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Q: 1) A tank whose volume is 50L initially contains 20L of water. A solution containing 10g/L of salt…

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Q: 13. A water tank at a filtration plant is built in the shape of an inverted cone with height 5.2 m…

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Q: 1.A cylindrical core having a radius 2.54 *10 [m] and length of 0.3 [m], was flooded with brine at a…

A: Since you have posted multiple questions. I am answering the first one. Please posts the questions…

Q: 7. A spherical balloon is being filled in such a way that the surface area is increasing at a rate…

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Q: 3. The radius of a large sphere is increasing at the rate of 8m/ sec. At what rate is the sphere…

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Q: Help with word problems

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1. The radius of a sphere increases at a rate of 2 m/sec. The rate at which the volume increases…

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Q: 2)The radius of a sphere decreases at the rate of 1 m/sec. Find the rate at which the volume…

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Q: 15. Water is being poured at the rate of 150 cm³/s into an inverted cone with a diameter of 3 meters…

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Q: A tank is initially filled to capacity with 250 L pure water. At t = 0, brine containing 2 g/L salt…

A: A tank initially contain 250L pure water Let y be the number of liter water filled in tank at any…

Q: A brine solution of salt flows at a constant rate of 3 L/min into a large tank that initially held…

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Q: 2) The radius of a sphere decreases at the rate of 4 m/sec. Find the rate at which the volume…

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Q: 1. The volume of a cube decreases at a rate of 12 m/sec. Find the rate at which the side of the cube…

A: This question is related to application of derivatives.