Homework Answers
Add Answer to:
(25 pts) 1. Consider the general problem: -( ku '), + cu' + bu = f, 0
(40 pts) 2a. Show that u(z) is the solution to the problem where k(x)-1 for x < 1/2 and k = 2 for...
(40 pts) 2a. Show that u(z) is the solution to the problem where k(x)-1 for x < 1/2 and k = 2 for x > 1 /2. 2b. Set up the weak form for the differential equation above and the resulting element stiffness and element load vector and calculate the element stiffness matrix and load vector for 4 quadratic elements by using the Gaussian quadrature that is going to exactly calculate the integrals Then set up the global K and...
Problem 2 (25 pts): Consider the following non-linear autonomous system Consider a quadratic Lyap...
Problem 2 (25 pts): Consider the following non-linear autonomous system Consider a quadratic Lyapunov function in the form And study the stability of the system as function of the parameter k. More specifically 1. Show that the origin is Globally Asymptotically Stable for k 0. 2. Assume kヂ0. Is the origin still stable? Provide an interpretation.
Problem 2 (25 pts): Consider the following non-linear autonomous system Consider a quadratic Lyapunov function in the form And study the stability of the...
Question 25 1 pts Using the shooting method for the following second-order differential equation governing the...
Question 25 1 pts Using the shooting method for the following second-order differential equation governing the boundary value problem G.E: + EA (c) a + 2 = L(x) * € (0,L] B.C's: u (0) = 0 and EA (x) din le=L= F. An appropriate algebraic equation to use in the finite difference of the boundary condition at = Lis There is no suitable finite difference equation that can be obtained. u(L) - u (L - Ax) F.A BAL) None of...
Problem 1 Score: /25 a (12 Points): Consider the function f(x) = 3x2 + 2. -...
Problem 1 Score: /25 a (12 Points): Consider the function f(x) = 3x2 + 2. - 1. Express this function in the form f(x) - a(a + k) +h. Find the vertex of the quadratic. Solve the equation f(x) = 0.
Problem 1 (15 pts) Consider heat conduction on a slender homogeneous metal wire with constant crosssection...
Problem 1 (15 pts) Consider heat conduction on a slender homogeneous metal wire with constant crosssection as shown in Fig.1. L- 10cm Conductivity k = 100 w/m°C. Q(x)= 100.000W/㎡. At x = 0, q = 250 W/ m2. TL = 25 oC. Governing equation: _kdTeQ (0%L) Boundary condition: dT -k Figure 1 Heat conduction on a 1-D metal wire. a. Solve for T (x) with two linear elements (X1 = 0, x2-4cm, and X3 = 10cm) ; b. Compare with...
Additional Problem 1: Consider the following binary phase diagram for the Cu-Ni system at 1 atm...
Additional Problem 1: Consider the following binary phase diagram for the Cu-Ni system at 1 atm pressure (a) For XNfotal 0.3 at 1500 K, find XNt and Xw°, and estimate f and f (b) Starting from XNfotal = 0.3 at 1500 K, the system is cooled, and a (Cu,Ni) solid solution forms. Find XNi for the last drop of the liquid as it crystallizes Ni 10 TГ Cu - Ni 20 30 40 50 60 70 80 90 wt% 1800...
Problem 1 (25 Pts) Consider the OP amp circuit shown below with R = 100kN and...
Problem 1 (25 Pts) Consider the OP amp circuit shown below with R = 100kN and C = 1(10)-5F: Part a) 10 pts Find the complex transfer functions for the circuit in terms of frequency f(Hz). Part b) 5 pts Compute the gain ofat as a function of frequency f(Hz). Parte) 10 pts Compute the corresponding gains at 100, 1000, 10000 Hz. R 3R 5R Vi ve
Problem 1 (25 Pts) Consider the OP amp circuit shown below with R = 100kN and...
Problem 1 (25 Pts) Consider the OP amp circuit shown below with R = 100kN and C = 1(10)-5F: Part a) 10 pts Find the complex transfer functions for the circuit in terms of frequency f (Hz). Part b) 5 pts Compute the gain of Wat as a function of frequency f (Hz). Part e) 10 pts Compute the corresponding gains at 100, 1000, 10000 Hz. R 3R 5R с Vi ve
Experimental methodology Problem 1 (25 Pts) Consider the OP amp circuit shown below with R =...
Experimental methodology
Problem 1 (25 Pts) Consider the OP amp circuit shown below with R = 100kN and C = 1(10)-SP: Part a) 10 pts Find the complex transfer functions for the circuit in terms of frequency f (Hz). Part b) 5 pts Compute the gain of sat as a function of frequency f (Hz). Part e) 10 pts Compute the corresponding gains at 100, 1000, 10000 Hz. R 3R 5R protein Vi - Vo
Consider the finite difference matrix operator for the 1D model problem u(/d2- f(x) on domain [0,...
Consider the finite difference matrix operator for the 1D model problem u(/d2- f(x) on domain [0, 1] with boundary conditions u(0) = 0 and u(1) = 0, given by [-2 1 1-2 1 E RnXn h2 1 -2 1 This matrix can be considered a discrete version of the continuous operator d/da2 that acts upon a function(r). (a) Show that the n eigenvectors of A are given by the vectors ) (p-1,... , n) with components and with eigenvalues h2...
(40 pts) 2a. Show that u(z) is the solution to the problem where k(x)-1 for x < 1/2 and k = 2 for x > 1 /2. 2b. Set up the weak form for the differential equation above and the resulting element stiffness and element load vector and calculate the element stiffness matrix and load vector for 4 quadratic elements by using the Gaussian quadrature that is going to exactly calculate the integrals Then set up the global K and...
Problem 2 (25 pts): Consider the following non-linear autonomous system Consider a quadratic Lyapunov function in the form And study the stability of the system as function of the parameter k. More specifically 1. Show that the origin is Globally Asymptotically Stable for k 0. 2. Assume kヂ0. Is the origin still stable? Provide an interpretation.
Problem 2 (25 pts): Consider the following non-linear autonomous system Consider a quadratic Lyapunov function in the form And study the stability of the...
Question 25 1 pts Using the shooting method for the following second-order differential equation governing the boundary value problem G.E: + EA (c) a + 2 = L(x) * € (0,L] B.C's: u (0) = 0 and EA (x) din le=L= F. An appropriate algebraic equation to use in the finite difference of the boundary condition at = Lis There is no suitable finite difference equation that can be obtained. u(L) - u (L - Ax) F.A BAL) None of...
Problem 1 Score: /25 a (12 Points): Consider the function f(x) = 3x2 + 2. - 1. Express this function in the form f(x) - a(a + k) +h. Find the vertex of the quadratic. Solve the equation f(x) = 0.
Problem 1 (15 pts) Consider heat conduction on a slender homogeneous metal wire with constant crosssection as shown in Fig.1. L- 10cm Conductivity k = 100 w/m°C. Q(x)= 100.000W/㎡. At x = 0, q = 250 W/ m2. TL = 25 oC. Governing equation: _kdTeQ (0%L) Boundary condition: dT -k Figure 1 Heat conduction on a 1-D metal wire. a. Solve for T (x) with two linear elements (X1 = 0, x2-4cm, and X3 = 10cm) ; b. Compare with...
Additional Problem 1: Consider the following binary phase diagram for the Cu-Ni system at 1 atm pressure (a) For XNfotal 0.3 at 1500 K, find XNt and Xw°, and estimate f and f (b) Starting from XNfotal = 0.3 at 1500 K, the system is cooled, and a (Cu,Ni) solid solution forms. Find XNi for the last drop of the liquid as it crystallizes Ni 10 TГ Cu - Ni 20 30 40 50 60 70 80 90 wt% 1800...
Problem 1 (25 Pts) Consider the OP amp circuit shown below with R = 100kN and C = 1(10)-5F: Part a) 10 pts Find the complex transfer functions for the circuit in terms of frequency f(Hz). Part b) 5 pts Compute the gain ofat as a function of frequency f(Hz). Parte) 10 pts Compute the corresponding gains at 100, 1000, 10000 Hz. R 3R 5R Vi ve
Problem 1 (25 Pts) Consider the OP amp circuit shown below with R = 100kN and C = 1(10)-5F: Part a) 10 pts Find the complex transfer functions for the circuit in terms of frequency f (Hz). Part b) 5 pts Compute the gain of Wat as a function of frequency f (Hz). Part e) 10 pts Compute the corresponding gains at 100, 1000, 10000 Hz. R 3R 5R с Vi ve
Experimental methodology
Problem 1 (25 Pts) Consider the OP amp circuit shown below with R = 100kN and C = 1(10)-SP: Part a) 10 pts Find the complex transfer functions for the circuit in terms of frequency f (Hz). Part b) 5 pts Compute the gain of sat as a function of frequency f (Hz). Part e) 10 pts Compute the corresponding gains at 100, 1000, 10000 Hz. R 3R 5R protein Vi - Vo
Consider the finite difference matrix operator for the 1D model problem u(/d2- f(x) on domain [0, 1] with boundary conditions u(0) = 0 and u(1) = 0, given by [-2 1 1-2 1 E RnXn h2 1 -2 1 This matrix can be considered a discrete version of the continuous operator d/da2 that acts upon a function(r). (a) Show that the n eigenvectors of A are given by the vectors ) (p-1,... , n) with components and with eigenvalues h2...
Most questions answered within 3 hours.
-
There are 3 models that generate 3 below predicted values for
CAD
Model1: $1.00
Model2: $1.112...
asked 3 minutes ago -
Please note this is a question for my midterm so answer
seriously and make sure it...
asked 8 minutes ago -
Conduct a search of "the difference between marketing strategy
and tactics" and scan the results. Select...
asked 13 minutes ago -
what could be done to increase the likelihood of transfer of
training if the work environment...
asked 14 minutes ago -
Consider the following argument: It’s too hot or it’s too cold.
If it’s too cold, I’ll...
asked 15 minutes ago -
Steve's Specialties, Inc. paid its dividend yesterday, which as
$ 3.00. The dividend has been growing...
asked 30 minutes ago -
We are trying to decide a warehouse location to minimize our
costs of moving supplies to...
asked 30 minutes ago -
Create a SWOT Analyst diagram on topic Disaster Recovery Plan
for an commercial business.
asked 29 minutes ago -
How do we make sure that our professional judgment as an auditor
is "free" from bias?
asked 47 minutes ago -
discuss the design features of one of the first point-
factor job evaluation methods that continues...
asked 51 minutes ago -
Carbonated cola is more acidic than coffee or even orange juice
because cola contains phosphoric acid....
asked 54 minutes ago -
Which of the following is the type of join that matches each row
of the first...
asked 1 hour ago