13. A hot cup of coffee initially at 95°C cools to 80°C in 5 min while sitting in a room of temperature 21 C. Using just Newton's law of cooling, determine when the temperature of the coffee will be a nice 50 C?

Q: 3. A plastic of warm water with a temperature of 110°F is placed inside a 0°F freezer. After 20…

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Q: 5. A kite 100 feet above the ground is being blown away from the person holding its string in a…

A: So, here x2+1002=s2...(1) Given dxdt=10 Now, at s=200, from (1):…

Q: 3. A small metal bar, whose initial temperature was 20° C, is dropped into a large container of…

A: Let's find.

Q: 2. A body at 100°C warms at 120ºC after 5 minutes in a surrounding at 30°C. At what time will its…

A: Given- T0=100°C,Ts=30°C ,T=120°C To Find- The time at the temperature of the body will be double.…

Q: A small metal bar, whose initial temperature is 25°C'is dropped into a large container of boiling…

A: Given that :- Initial Temperature of Metal Bar=25°C Temperature of boiling water=100°C How long will…

Q: 25. A 10-foot ladder is placed against a vertical wall. Suppose that the bottom of the ladder slides…

A: Given :-  dx/dt= 3feet/sec  Ladder height= 10feet  Find rate at which ladder is sliding down from…

Q: 1. A ladder 8 m long is leaning against a wall. If the bottom of the ladder is pulled horizontally…

A: We will draw figure and use differentiation  to find rate of change . Note . Only one question…

Q: 18. A kite string is paid out at a constant rate of 3 ft/s. If the wind carries the kite…

A:

Q: 2) Water is pouring into an inverted cone at the rate of 8 cubic me- ters per minute. If the height…

A: Given that Height of cone h=12 m radius of its base r=6 m rate of pouring water into cone dVdt=8 m3

Q: 3. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: We row that general equation for the radio active decy is M=M0e-kt            Where "M0 " is…

Q: 5. An apple pie with an initial temperature of 170 °C is removed from the oven and left to cool in a…

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Q: 2) A body temperature of 50 °F is placed in an oven whose temperature is kept at 150 °F. If after…

A: time required for the body to reach 100°F=?

Q: (2) A stone is thrown vertically upward from the ground with an initial velocity of 40 ft/sec. (2.1)…

A: Topic:-  basic maths  Note :- as per our guideline if more than three subparts need to be answered…

Q: 2. A body at 100°C warms at 120°C after 5 minutes in a surrounding at 30°C. At what time will its…

A: Use the Newton's formula for finding the time. First use the Newton's formula for finding k then…

Q: A tank contains 400 liters of brine. Twelve (12) liters of brine, each containing 2.50 N of…

A: Given: 400 litres of brine are kept in a tank. The tank receives 12 litres of brine each minute,…

Q: A substance cools in moving air at a rate proportional to the difference between the temperature of…

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Q: 6. A 25-ft ladder is leaning against a wall. If we push the ladder toward the wall at a rate of 1…

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Q: 1) For a period of time, an island's population grows at a rate proportional to its population. If…

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Q: 3. A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above…

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Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a…

A: In the question it is asked to solve for the temperature, also for the time when it is cooled down…

Q: 3. A man rows downstream at the rate of 5 mph and upstream at the rate of 2 mph. How far downstream…

A: Let the man goes x miles downstream. Assume, the man takes t1 hour to go downstream and t2 hour to…

Q: 18. Two cars start moving from the same point. One travels south at 60 mi/h and the other travels…

A:

Q: A freshly brewed cup of coffee is set on the counter and has a temperature of 200° Fahrenheit. After…

A: Let us assume that hot coffee is poured at time t=0 Given:   Initial temperature at  t=0, T=200°F…

Q: 1. A conical paper cup 4 inches across the top and 4 inches deep is full of water. Since there is a…

A: We have been given the cone as in the figure  By the given figure we get r = 2 in. and h = 4 in. We…

Q: 5) A cup of coffee cools at rate proportional to the difference between the constant room…

A:

Q: 8. An express train reducing its velocity to 40 km./h. , has to apply the brakes for 50 sec. . If…

A: Given that  Velocity of express train =40km/hr  Breaks apply at 50sec Retardation =0.5m/sec^2 To…

Q: A body of an unknown temperature is placed in a room which is held at a constant temperature of 30 .…

A: Given that, A body of an unknown temperature is placed in a room which is held at a constant…

Q: As an object cools, its rate of cooling slows. Explain how this follows from Newton’s Law of…

A:

Q: 8. A boy on a bike rides north 5 miles, then turns east. If he rides 10 mi/hr., at what rate was his…

A: Given: The following diagram represents the given data:

Q: 6. A boy on a bike rides north 5miles then turns east. If he rides 10 miles per hour, at what rate…

A: Distance travel in north distance = 5 miles,

Q: 47. A ball is thrown directly downward with an initial speed of 8.00 m/s, from a height of 30.0 m.…

A:

Q: 7. A revolving beacon is situated 3600 feet off a straight shore. If the beacon turns at 2…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: 4. One car leaves a given point and travels north at 30 mph. Another car leaves 1 hour later, and…

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Q: 1. A body at 50 degrees C cools inside a room with temperature of 30 degrees C. At what temperature…

A: Let's find.

Q: If the base h of a triangle is increasing at a rate of 3 inches per minute while its height h is…

A: Area of a triangle of base b and height h is given as, A=12bh The derivative of area with respect to…

Q: b. A spherical metal ball with initial temperature of 190°C is placed outside where the temperature…

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Q: 11. A scuba tank holds 2.6 m3 of compressed air. A diver at a shallow depth uses about 0.002 m³ per…

A: (a) The amount of air used by diver in one minute will be equal to the product of amount of air per…

Q: A quantity with an initial value of 110 grows continuously at a rate of o.5% per hour. What is he…

A: Given, Initial value of quantity = 110  It is growing continuously at a rate of 0.5%  per hour.  We…

Q: 1. A certain radioactive material is known to decay at a rate proportional to the amount present.…

A:

Q: Suppose a rubber ball, when dropped from a given height, returns to a fraction p of that height. In…

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Q: 3) An empty can of room freshener that has a volume of 350 mL, contains gas at a pressure of 360 kPa…

A: I am attaching image so that you understand each and every step.

Q: A Ball is thrown Vertically into the air at 120 m/s ,after 3 secanother ball is thrown.what initial…

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Q: 10. The mass of a radioactive substance is 1000mg and decreases by 7% per year. What is its mass…

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Q: 2. An object with a temperature of 32°C is taken to an open field where the temperature is 42°C.…

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Q: 3. The period of free undamped oscillations of a mass on a spring is sec. If the spring constant is…

A: Given: We have to find: Numerical value of weight.

Q: With assuming ideal laboratory conditions, the number of bacteria in a culture grows by the law Q(4)…

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Q: 1. A ball is thrown up in the air from a cliff with the initial speed of 10 meters per second and…

A: Velocity displacement problem

Q: 1. A tank is shaped like an upside-down pyramid, with a base of 4 meters and a height of 12 meters.…

A: