2 a3y The order and degree of the differential equation - 4 () + 3 (*) = : dx3 are a. order=5,degree= 2 b. order=3, degree=1 O c. order=4, degree= 2

Q: A tank contains 1060 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the…

A: I have explained everything with in the solution. Please go through that.

Q: (c) J xe0.4x (0.4x + 1)2 d dx

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Q: At time t = 0, a tank contains 30 oz of salt dissolved in 100 gallons of water. Then brine…

A: At time t=0, a tank contains 30 oz of salt dissolved in 100 gallons of water. Then brine containing…

Q: A retail store estimates that weekly sales s and weekly advertising costs x​ (both in​ dollars) are…

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Q: A tank contains 1380 L of pure water. Solution that contains 0.03 kg of sugar per liter enters the…

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Q: A large tank is filled to capacity with 600 gallons of pure water. Brine containing 5 pounds of salt…

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Q: The rate of increase of the number of working married couples M (in millions) in the United States…

A: Given: The rate of increase of the number of working married couples M in the US from 2008 through…

Q: 7.65. A tank initially holds 10 gal of fresh water. At 1=0, a brine solution containing lb of salt…

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Q: A tank contains 14,000 L of brine with 21 kg of dissolved salt. Pure water enters the tank at a rate…

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Q: Calculate -8 [ f(x)dx -10 g(x) dx = 11 -10 f¹⁰ f(x)dx = -1 f(x)dx= -18 -10 g(x) dx = 16 (2) ² (²…

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Q: Solve the D. E. to the I. V. P. sinx(e-y + 1)x' – cosx = 1, y(0) = 0 %3D %3D (1 – e') (1 + cos.x) =…

A: We will find out the required solution.

Q: Solve y + 4y = e4* y(0) = 2 %3D

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Q: A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram…

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Q: f(x)= 5x -4 c=3 L=11 ɛ=1.75

A: Definition Let f(x) be defined on an interval about c, except possibly at c itself. We say that the…

Q: As a swimming pool drains, the amount of water in the pool (in gallons) is given by g(t) = 3000 −…

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Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

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Q: For a rate r (in decimal form) that is compounded n times per year, the effective rate reff (in…

A: The formula for an effective rate isreff=1+rnn-1 to change the rate of interest into decimal form if…

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: A tank contains 2100 L of pure water. Solution that contains 0.01 kg of sugar per liter enters the…

A: In a tank in which mixture of one substance and water is flowing in and out with a certain rate.…

Q: f(x) 3D (0, 5/3) Vx + 9 樂 f "(0) Enter a mathematical expression.

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Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…

Q: The shareholder's equity z (in billions of dollars) for a major corporation from 2000 to 2006 can be…

A: The shareholder's equity z (in billions of dollars) for a major corporation from 2000 to 2006 can be…

Q: salt in the tank at time t. A(t) - Ib

A: Given that  Capacity of the tank 400gal Rate of inflow 4 gal/min Rate of out flow 4gal /min To find…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.