The function of the display area of a rectangular shadow box made by a 36 in piece of wood in terms of x , where x and y are the length and width of the box, respectively.
The function of the display area of a rectangular shadow box made by a 36 in piece of wood in terms of x , where x and y are the length and width of the box, respectively.
Solution Summary: The author explains the function of the display area of a rectangular shadow box, which is -x2+18x.
The function of the display area of a rectangular shadow box made by a 36 in piece of wood in terms of x , where x and y are the length and width of the box, respectively.
(b)
To determine
To calculate: The dimensions of the shadow box to maximize its display area using the function of the display area of the rectangular shadow box as −x2+18x .
(c)
To determine
To calculate: The maximum display area of the shadow box using the function of the display area of the rectangular shadow box as −x2+18x .
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?
1. Solve the initial value problem:
y" -11y' + 30y = x³e6x
y(0) 11, y'(0) = 36
=
Elementary Statistics: Picturing the World (7th Edition)
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