Question
In: Math
The output of an engineering system as a function of position (x) is modeled by the...
The output of an engineering system as a function of position (x) is modeled by the differential equation y'' + 9y = 5cos(2x) - 10sin(2x), where y = f(x), y(π/2) = 2, and y'(π/2) = 6. Solve this differential equation to obtain an expression for y as a function of x (i.e., to obtain the function y(x)).
Solutions
milcah answered 2 years agoRelated Solutions
A bicyclist is riding on a path modeled by the function f(x) = 0.07x, where x...
A bicyclist is riding on a path modeled by the function
f(x) = 0.07x,
where x and f(x) are measured in
miles (see figure). Find the rate of change of elevation at
x = 5.
x[n] is the input of a system and y[n] is the output of the system. The...
x[n] is the input of a system and y[n] is the output of the
system. The relationship between the input and output is the
following: y[n] = x[n]u[n+1] a) Is the system memoryless? Just yes
or no is sufficient. b) Is this system causal? Just yes or no is
sufficient. c) Is the system linear? Just yes or no is sufficient.
d) Is the system time invariant? Justify. e) Is the system BIBO
stable? Justify. f) Is the system invertible?...
Determine the output of the following program: var x; function bar() { writeln(x); } function foo()...
Determine the output of the following program:
var x;
function bar() {
writeln(x);
}
function foo() {
var x;
x = 3;
bar();
}
function oof() {
var x;
x = 7;
foo();
}
x = 5;
oof();
(a) if the static scoping rule is used? What is the reason?.
(b) if the dynamic scoping rule is used? What is the reason?.
With the use of a phase shift, the position of an object may be modeled as...
With the use of a phase shift, the position of an object may be
modeled as a cosine or sine function (as a function of time). If
given the option, which function would you choose (Note: this
is an open-ended question; there is no wrong answer; just be sure
to explain your choice)? Assuming zero phase shift,
if you are using a sine function to model the position of an
object, what are the initial conditions of the oscillator---that
is,...
With the use of a phase shift, the position of an object may be modeled as...
With the use of a phase shift, the position of an object may be
modeled as a cosine or sine function (as a function of time). If
given the option, which function would you choose (Note: this is an
open-ended question; there is no wrong answer; just be sure to
explain your choice please)? Assuming zero phase shift, if you are
using a sine function to model the position of an object, what are
the initial conditions of the oscillator---that...
write a Matlab function file to solve system Ax=b by using the output of the function...
write a Matlab function file to solve system Ax=b by
using the output of the function lufac2a your function should have
inputs f=matrix return from lufac2a, piv=array return by lufac2a
and b=right hand side of your system.the only output for your
system should be x
guideline
1.use the column access for the matrix
entries
2. do not create any other matrix in your function-get
your data directly from the matrix passed into your
function
3.do not use Matlab command designed...
Consider the following production function: x = f(l,k) = lb kb where x is the output,...
Consider the following production function: x = f(l,k) =
lb kb where x is the output, l is the labour
input, k is the capital input, and b is a positive constant.
Suppose b < 1/2.
(a) Set up the cost minimization problem and solve for the
conditional labour and conditional capital demand functions. Let w
and r be the wage rate and rental cost of capital respectively.
(b) Using your answer in (a), derive the cost function and
simplify...
For the following exercises, use this scenario: The population P of a koi pond over x months is modeled by the function P(x) = 68/1 + 16e−0.28x.
For the following exercises, use this scenario: The population P of a koi pond over x months is modeled by the function P(x) = 68/1 + 16e−0.28x.Use the intersect feature to approximate the number of months it will take before the population of the pond reaches half its carrying capacity.
The resistance R of a tungsten wire as a function of temperature can be modeled with...
The resistance R of a tungsten wire as a function of temperature
can be modeled with the equation
R=R0*[1+α(T-T0 )
whereR0 is the resistance corresponding to
temperature T0, and α is the
temperaturecoefficient of resistance. Determine
R0and α such that the equation will best fit
the following data (Use linear regression curve fitting). Take
T0 = 20°C.
T=[20 100 180 260 340 420 500]
R=[500 676 870 1060 1205 1410 1565]
After enter below codes it gives an error
function...
Consider a system with the input/output relationship y(t) = x(t)cos(15πt). (a) Is this system (i) linear,...
Consider a system with the input/output relationship y(t) =
x(t)cos(15πt).
(a) Is this system (i) linear, (ii) causal, (iii) stable, (iv)
memoryless, (v) time-invariant, and (vi) invertible. Justify each
answer with a clear mathematical argument. (b) Find the Fourier
Transform Y (f) of y(t) in terms of the transform X(f) of x(t).
Repeat problem (2) for the system with the input-output
relationship y(t) =R1 τ=0(1−τ)2x(t−τ)dτ.
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