A freshly brewed cup of coffee is set on the counter and has a temperature of 200° Fahrenheit. After 3 minutes, it has cooled to 190°, but is still too hot to drink. If the room is 72° and the coffee cools according to Newton's Law of Cooling, how long will the impatient coffee drinker have to wait until the coffee has cooled to 165°?

Q: Illustrate the formula for a quasi-Newton method?

A: To Explain: The formula for Quasi-Newton method.

Q: solve using newton raphson f(x)=cos3x

A: As per the question we are given a function : f(x) = cos(3x) And we have to find the root of the…

Q: Let P(A/B) = 0.75 and P(ABC) = 0.52. If P(B) = 0.3, solve for P(BIA).

A: We have given that,  P(A/B) = 0.75 and P(ABC) = 0.52. If P(B) = 0.3 Then,  We wil find the value of…

Q: If a particle starts from rest, what constant acceleration is required to move the particle 50 mm in…

A:

Q: Use the Newton-Raphson Method to approximate the root of ?(?) = 2 cos(?) − 2? + 1.

A: Newton Raphson method

Q: Solve ∆ABC if a = 0.283, b = 0.178, and α = 121.624◦

A:

Q: A ladder of length 8 meters leaning against a wall starts to slide. If its upper end slides down the…

A:

Q: A 8,511 newton car is initially at rest. How much force (in Newton) is required to move the car by…

A: 2

Q: Because of the gravitational attractions of the moon and the sun on the Earth, water in seas and…

A:

Q: Give a geometric explanation of Newton’s method

A: The Newton-Raphson method (also known as Newton's method) is a way to quickly find a good…

Q: A ball is thrown from the top of one building toward a tall building 15m away. The initial velocity…

A: A ball is thrown from the top of one building toward a tall building 15m away. The initial velocity…

Q: A 25 ft ladder is leaning against a vertical wall. 25 ft At what rate (with respect to time) is the…

A:

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.

Q: A particle moves according to the formula s = 6 to + 63 t-15 where distance s is measured in meters…

A:

Q: A fund accumulates at a simple interest rate of 4% p.a. Another fund accumulates at a compound…

A:

Q: Solve for m/UVW if m/UVX = 47° and m/XVW = 35°.

A: Solve for m∠UVW if m∠UVX=47∘ and m∠XVW=35∘

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.