A cup of coffee is taken out of a microwave oven and placed in a room. The temperature, T , in degree Fahrenheit, of the coffee after t minutes is modeled by the function T = 70 + 130 e − 0.04355 t . The graph of the function is shown in the figure. Use the graph to answer each of the following questions, a. What was the temperature of the coffee when it was first taken out of the microwave? b. What is a reasonable estimate of the temperature of the coffee after 20 minutes? Use your calculator to verify this estimate. c. What is the limit of the temperature to which the coffee will cool? What does this tell you about the temperature of the room?
A cup of coffee is taken out of a microwave oven and placed in a room. The temperature, T , in degree Fahrenheit, of the coffee after t minutes is modeled by the function T = 70 + 130 e − 0.04355 t . The graph of the function is shown in the figure. Use the graph to answer each of the following questions, a. What was the temperature of the coffee when it was first taken out of the microwave? b. What is a reasonable estimate of the temperature of the coffee after 20 minutes? Use your calculator to verify this estimate. c. What is the limit of the temperature to which the coffee will cool? What does this tell you about the temperature of the room?
Solution Summary: The author explains the function T=70+130e-0.04855t, which determines the temperature of coffee after 20 minutes of taking out of the microwave.
A cup of coffee is taken out of a microwave oven and placed in a room. The temperature, T, in degree Fahrenheit, of the coffee after t minutes is modeled by the function
T
=
70
+
130
e
−
0.04355
t
. The graph of the function is shown in the figure.
Use the graph to answer each of the following questions,
a. What was the temperature of the coffee when it was first taken out of the microwave?
b. What is a reasonable estimate of the temperature of the coffee after 20 minutes? Use your calculator to verify this estimate.
c. What is the limit of the temperature to which the coffee will cool? What does this tell you about the temperature of the room?
eric
pez
Xte
in
z=
Therefore, we have
(x, y, z)=(3.0000,
83.6.1 Exercise
Gauss-Seidel iteration with
Start with (x, y, z) = (0, 0, 0). Use the convergent Jacobi i
Tol=10 to solve the following systems:
1.
5x-y+z = 10
2x-8y-z=11
-x+y+4z=3
iteration (x
Assi 2
Assi 3.
4.
x-5y-z=-8
4x-y- z=13
2x - y-6z=-2
4x y + z = 7
4x-8y + z = -21
-2x+ y +5z = 15
4x + y - z=13
2x - y-6z=-2
x-5y- z=-8
realme Shot on realme C30
2025.01.31 22:35
f
Use Pascal's triangle to expand the binomial
(6m+2)^2
Listen
A falling object travels a distance given by the formula d = 6t + 9t2 where d is in feet
and t is the time in seconds. How many seconds will it take for the object to travel
112 feet? Round answer to 2 decimal places. (Write the number, not the units).
Your Answer:
Chapter 4 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Algebra and Trigonometry (6th Edition)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY