do mgl (i-coso)= E %3D

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A: We have to find the rate at which the bottom of ladder is sliding down when the length of the ladder…

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A: Given query is to eveluate integral.

Q: According to Newton's Law of Cooling the rate at which a substance cools in air is directly…

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Q: newton's law of cooling

A: We have given that a cup of hot cocoa coo from 90∘C to 60∘C after 10min in a room temperature having…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain…

A: formula for half-life problemsA=P0.5tn; here P is inital quantity, A is amount of quantity after t…

Q: A voltage V across a resistance R generates a current I = V/R. If a constant voltage of 6 volts is…

A: I=VR here V is constant and that is V=6 I=6R take the derivative with respect to t  dIdt=ddt6R…

Q: 4.) A 10-ft-long ladder leans against the side of a wall. The top of the ladder is sliding down the…

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A: Given that the intensity of light of feet below the surface is given by, I=I0e-0.26d Where, I0 is…

Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 2. A triangle has a height that is increasing at a rate of 2 cm/s, and its area is increasing at a…

A: Area of the triangle , A =12(Base)(Height) Product Rule of Differentiation : du.vdt=u.dvdt+dudt.v

Q: A voltage V across a resistance R generates a current I = V/R. If a constant voltage of 7 volts is…

A: Given that , V = 7 volts R' = 0.1 ohms R = 4 ohms I' = ?

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A: We need to find rate of change of the base.

Q: 2. Newton's Law of Cooling states that the rate of cooling of an object is proportional to the…

A:

Q: Example A light is on the top of a 12 ft tall pole and a Sft 6in tall person is walking away from…

A: Consider the provided question, The pole and the person are shown in the figure below;

Q: After sitting on a shelf for a while, a can of soda at a room temperatu placed inside a refrigerator…

A: Given, Ta= 39°F To= 68°F T= 61°F t= 15 min

Q: 13. A hot cup of coffee initially at 95°C cools to 80°C in 5 min while sitting in a room of…

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Q: QuestiuI 3. A lighthouse is on a small island 3 km away from the nearest point P on a straight…

A: Let y be the distance of lighthouse from nearest point P on the shoreline. Let at time t the beam…

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

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Q: The ideal gas law relates temperature T, pressure P, and volume V of an ideal gas: PV=8.314T. Note…

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Q: Solve Using Dn/dt. A certain radioactive material is known to decay at a rate proportional to the…

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A: Given that the rate of disintegration of a radioactive substance is proportional to the amount of…

Q: 19. The tires on your car are 20 inches in diameter. The tires are turning at the rate of 8…

A: Let the given diameter of the tires be d=20 inches.Then the circumference of a tire= π×d=20π…

Q: A lighthouse is located on a small island 4 km away from the nearest point P on a straight…

A: Given problem:- A lighthouse is located on a small island 4 km away from the nearest point P on a…

Q: A cable hangs between two poles that are 70-ft apart. The two poles are both 40 foot high. Sag is…

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Q: Motion on the moon The acceleration due to gravity on the moonis approximately g/6 (one-sixth its…

A: Let the values of v0 and α be same for both the moon and the Earth.

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

A: Newton law of cooling : dT/dt = k(T - Ta) and T = Cekt + Ta Boiling Temperature of water is 100° C…

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A: Given that Newton's law of cooling states that the temperature of an object changes at a rate…

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Q: A roast turkey is taken from an oven when Its temperature has reached 185F and Is placed on a table…

A: Follow step 2.

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Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A: Given : An investment earns 4% per year and is worth $ 90,000 after 9 years, To find the present…

Q: The edges of a cube increase at a rate of 5 cm/s. How fast is the volume changing when the length of…

A: Solution:- The edge  of the cube increase at a rate of 5cmsec let the edge of the cube =a =10cm⇒da…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Given data is : dhdt=+3cm/min and dAdt=+3cm2/min h=7cm , A=86cm2 where A is area of triangle, h is…

Q: The altitude of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is…

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Q: Solve the given problem. Write the appropriate conclusion including proper units of measure whenever…

A: as of July 2015, the Philippine population is 101,802,706. Let P(t) denote the population t years…

Q: solve the problem. A ladder is slipping down a vertical wall. if the ladder is 20 ft long and top of…

A: Use pythagorous theorem and differentiation to solve

Q: 1. The area of a triangle is increasing at a rate of 2 as the altitude increases at a rate of 1. How…

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Q: 8. A baked cake is taken out of a 350° oven and placed on a table in a 70°F room. It cools according…

A: We have to solve the given problem.

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A: Given: Mechanical power (in W) must a 76.5 kg mountain climber generate to climb to the summit of a…

Q: : 20 A ladder 13 ft long is leaning against a wall. The bottom of the ladder is being pulled away…

A: We have to use Pythagoras theorem and calculus to obtain our result.

Q: 4. According to Newton’s law of cooling, the rate at which a body cools is proportional to the…

A:

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A:

Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A:

Q: pody cools in air of constant temperature 20°C according to Newton's law of cooling. T nutes after…

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Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

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Q: 15. A 25-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the…

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Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

A: Given: An investment earns 6% per year and is worth $70,000 after 7 years. To find: Present value of…

Q: NOTES A water trough is 8 feet long, and its cross section is an equilateral triangle with sides 4…

A: In the given question above we have to find the height and the rate of water level rising.