3. A cheesecake is taken out of the oven with an internal temperature of 165 F, and is placed into a 35 F refrigerator. After 10 minutes, the cheesecake has cooled to 150 F If we must wait until the cheesecake has cooled to 70°F before we eat it, how long will we have to wait? (The cooling of any body is governed by Newton's Law of Cooling. T(t) = aekt + T, where t is the time, a is a constant, Ts is the surrounding temperature, e is the constant = 2.718, and k is a constant that depends on the properties of the object cooling off.)

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Q: (b) Figure 2 shows the experiment conducted to study the relationship between the velocity of blood…

A: Solve the problem as shown below.

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A: Let's find.

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Q: B: Solve the following differential equation by Laplace: ²+2+5y = e-¹ sint .y(0) = 0,(0) = 1 dx

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Q: Determine whether the given function is a solution of the initial value problem. 10. y = r cos r; y…

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A: We will find out the required differential equation for given RC circuit.

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A: We need to choose correct option.

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Q: 11. Let f(x) = V40x + 20 – x². (a) Use differentials to estimate the value of f(2.04). (b) Suppose…

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A: See the attachment

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A: Here is the solution:

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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.