1. A hot metal object is submerged in a large tank of water held at temperature 25° c. Let y(t) be the temperature of the object t minutes after it is submerged in water. Newton's Law of Cooling says that the temperature will change according to dy = -2(y – 25). dt Suppose the object was 150°C before submerging it in water. Find the function y(t). Do not present a solution based on a formula that you might be able to look up, show your own work here.

Q: dy Assume x and y are functions of t. Evaluate for the following. dt y²-9x³ = -31; dx dt = -6, x=2,…

A:

Q: dT Newton's law of cooling states that the rate of change in the temperature T(t) of a body is…

A: To approximate the temperature of the body using Euler's method, we need to use the formula derived…

Q: - ☐ 10. A car which begins at position d = 0, travels according to the following velocity function:…

A: Step 1:Step 2: Step 3: Step 4:  thanks 🙏💛

Q: (3) -7 At time t = 0, an object (modelled as a particle) of mass 25 kg is at the point P = measured…

A:

Q: Newton's law of cooling states that the rate of change in the temperature T(t) of a body is…

A: If the IVP is of the form Then the iterations are given by

Q: Consider the curve given by y² = 2 + xy. dy dx (a) Show that = 2y-x (b) Find all points (x, y) on…

A:

Q: 2. The acceleration e²t - 25 of a particle at time t > 0 is given by a(t) + 2. Given that the…

A:

Q: Let a + 0 be a constant. Give an example of a function y = f(x) for which ay – y' = 0 and g?y – y" =…

A:

Q: Find the derivative of the function. -1 y = (3t – 1)(6t – 5) dy dt II

A:

Q: The position of a vibrating spring after t seconds is given by f(t) = (1/2) cost − (1/5) sin t…

A: The given position of a vibrating spring is ft=12cost-15sint, where t is the time in seconds.…

Q: A metal bar of initial temperature 15 degrees C is placed in a a vat of boiling water (100 degrees…

A: