81. Cooling liquid. A cup of hot coffee is placed on a coun- ter and allowed to cool. The temperature T (in degrees Celsius) of the coffee t minutes after being placed on the counter is given by T(t) = 30 + 45e 0.023t a) What was the original temperature of the hot coffee? b) What is the coffee's temperature after 20 min? c) When will the coffee's temperature be 35°C? d) Find lim T(t), and explain what this number represents.

Q: The Value B(1/2, 1/2 list

A:

Q: 2. We have a plate of 12 x 15 cm and the temperatures on the edges are held as shown in the sketch…

A:

Q: The Hurricane Hunters took the following measurements from a hurricane over several days as it…

A:

Q: 4.) A frain was traveling at a constant speed. The table below shows the distance, in miles, the…

A: Given a train was travelling at a constant speed. In 1 hour train travelled 95 miles, in 2 hours…

Q: Q.No.3 Evaluate Sx cosec-xdx.

A: Explanation of the solution is given below....

Q: Find the temperature of an object when t = 9 if T0 = 18,C = 5, and k = 0.6.

A: We have the function as   f(t)=T0+Ce-kt   We have to find the temperature of an object when t = 9…

Q: Find the value of sec '(0.5) O a. -7/2 Ob. O b. T O. undefined 1/4

A:

Q: 3. Solve the equation cosh 2x + cosh x 5, giving x to three dec. places. %3D

A: The given equation is cosh2x+coshx=5. Calculate the solution of x to three decimal places.   Here we…

Q: Imperfections in computer circuit boards and computer chips lend themselves to statistical…

A: Let X denotes the number of defective diode. Here, X follows binomial with n= 200 and p=0.03.