The linear model for the cost (in thousands of dollars) of a super bowl ad y as a function of the number of years t since 1980 using the data of 1980 and 2000 if the table and the graph representing the increasing cost of a 30 seconds television ad with the years as, Year 1970 1980 1990 2000 2010 Cost ( $ 1 , 000 ) 78 222 700 2 , 100 2 , 950 The graph is;
The linear model for the cost (in thousands of dollars) of a super bowl ad y as a function of the number of years t since 1980 using the data of 1980 and 2000 if the table and the graph representing the increasing cost of a 30 seconds television ad with the years as, Year 1970 1980 1990 2000 2010 Cost ( $ 1 , 000 ) 78 222 700 2 , 100 2 , 950 The graph is;
Solution Summary: The author calculates the linear model for the cost (in thousands of dollars) of a 30 seconds television advertisement using the data of 1980 and 2000. The formula is y=mx+b
To calculate: The linear model for the cost (in thousands of dollars) of a super bowl ad y as a function of the number of years t since 1980 using the data of 1980 and 2000 if the table and the graph representing the increasing cost of a 30 seconds television ad with the years as,
Year
1970
1980
1990
2000
2010
Cost($1,000)
78
222
700
2,100
2,950
The graph is;
(b)
To determine
To calculate: The linear model for the cost (in thousands of dollars) of a super bowl ad y as a function of the number of years t since 1980 using the data of 2000 and 2010 if the table and the graph representing the increasing cost of a 30 seconds television ad with the years as,
Year
1970
1980
1990
2000
2010
Cost($1,000)
78
222
700
2,100
2,950
(c)
To determine
To calculate: The piecewise linear model for the cost of a Super Bowl ad during 1980−2010 using the models obtained in part (a) and part (b).
(d)
To determine
To calculate: The cost of Super Bowl ad in 1992 by using the model obtained in part (c) and interpret whether the answer is in the rough agreement with the graph which is as follows:
2. Consider the following:
Prove that x, x2, and 1/x are the solutions to the homogeneous equation
corresponding to x³y"" + x²y" + 2xy' + 2y = 2x4.
b. use variation of parameters to find a particular solution and complete the general
solution to the differential equation. I am interested in process. You may use a
computer for integration, finding determinants and doing Kramer's.
3. A spring is stretched 6 in. by a mass that weighs 8 lb. The mass is attached to a dashpot
mechanism that has a damping constant of 0.25 lb-sec./ft. and is acted on by an external
force of 4 cos 2t lb.
a. Set-up the differential equation and initial value problem for the system.
b. Write the function in phase-amplitude form.
C.
Determine the transient solution to the system. Show your work.
d. Determine the steady state of this system. Show your work.
e.
Is the system underdamped, overdamped or critically damped? Explain what this
means for the system.
4. Suppose that you have a circuit with a resistance of 20, inductance of 14 H and a
capacitance of 11 F. An EMF with equation of E(t) = 6 cos 4t supplies a continuous charge
60
to the circuit. Suppose that the q(0)= 8 V and the q'(0)=7. Use this information to answer the
following questions
a. Find the function that models the charge of this circuit.
b. Is the circuit underdamped, overdamped or critically damped?
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY