ASSIGNMENT
Compare and contrast the natural sciences (physics, chemistry,
biology) with the behavioral and social sciences (psychology,
anthropology, economics, political science).
Students in Physics and Chemistry a random sample was taken
from 20 students in Physics, from which an average of 3 hours per
week was obtained with a deviation. typical of 2.5 hours, and
another sample of 30 independent chemistry students from the
previous one, which presented an average of 2.8 hours, with a
deviation. typical 2.7h. Assuming that the weekly study hours of
the two types of students follow a normal distribution,
(a) Calculate a 95% confidence interval for...
Determine the form of a particular solution to the following
differential equations (do not evaluate coefficients).
(a)y′′ −4y′ = x+1+ xe^(2x) + e^(4x) + e^(4x)sin4x
For each of the following differential equations, find the
particular solution that satisfies the additional given property
(called an initial condition).
y'y = x + 1
1. Determine the form of a particular solution for the following
differential equations. (Do not evaluate the coefficients.)
(a) y'' − y' − 6y = x^2 e^x sin x + (2x^3 − 1)e ^ cos x.
(b) y'' − y' − 6y = (2 − 3x^3 )e^3x .
(c) y'' + 4y' + 4y = x(e^x + e^−x )^2 .
(d) y'' − 2y' + 2y = (x − 1)e^x sin x + x^2 e^−x cos x.
2. Find a...
Using variation of parameters, find a particular solution of the
given differential equations:
a.) 2y" + 3y' - 2y = 25e-2t (answer should be: y(t) =
2e-2t (2e5/2 t - 5t - 2)
b.) y" - 2y' + 2y = 6 (answer should be: y = 3 + (-3cos(t) +
3sin(t))et )
Please show work!
Set up the appropriate form of the particular solution to each
of the differential equations below, but do NOT determine the
values of the coefficients.
(a) y′′ +10y′ +25y=2e^(5t) +te^(−5t)
b) y′′ +9y=5t^2 +4cos(3t)+6e^(3t)
Write down Maxwell’s equations in differential and integral form
and explain the physics behind each one of them. Modify one of them
to account for the existence of magnetic monopoles.
25. Sterile processing is a medical technological field
requiring knowledge of microbiology, physics,
chemistry, electronics repair, and aseptic technique.
A. True
B. False
26. Which of the following is the BEST synonym for sterile
processing?
A. sterile supplies
B. central sterile
C. centralized supply
D. perioperative services
27. Ozone sterilization is the most common sterilization
methodology in hospitals.
A. True
B. False
28. EO (EtO, ethylene oxide) sterilization is the safest and most
efficacious sterilization platform
available to SPD techs....
Differential Equations
1. Create a direction field for y 0 = y − y 2 .
(a) You should find any equilibrium solutions by hand and at
least a few other solutions. Feel free to make a direction field
with some piece of technology and share a picture of it.
(b) Find at least a few solution curves and describe the
behavior of y as x → ∞, for different ranges of initial values
y(x0) = y0.
(c) Use your...