![Problem 3. Consider the function f(x) ei cos(2x). (1) Sketch its graph over the interval [0, r] by the following commands: (2](http://img.homeworklib.com/images/a4d9c73a-1d82-4c24-bc82-c5096ee6bdbb.png?x-oss-process=image/resize,w_560)
Homework Answers
`Hey,
Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries
clc
clear all
f=@(x) exp(x/2)*cos(2*x);
fplot(f,[0,pi]);
disp('Part b');
y=[f(pi/6) f(pi/6+0.01)];
x=[pi/6 pi/6+0.01];
diff(y)./diff(x)
disp('Part c');
x=pi/6;
(f(x+0.01)-2*f(x)+f(x-0.01))/0.01^2
Kindly revert for any queries
Thanks.
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Matlab: please answer all 3 parts and show steps using Matlab inputs ONLY thank you Problem 3. Consider the function f(x) ei cos(2x). (1) Sketch its graph over the interval [0, r] by the followin...
please explain and do in matlab Problem 3. Consider the function f(x) e cos(2r). (1) Sketch its graph over the interval [0, m) by the following commands: (2) Using h = 0.01 π/6 in [0, π]. The comm...
please explain and do in matlab
Problem 3. Consider the function f(x) e cos(2r). (1) Sketch its graph over the interval [0, m) by the following commands: (2) Using h = 0.01 π/6 in [0, π]. The commands are: to compute the difference quotient for z And the difference quotient is: ( 6 (3) Using h-0.01 to approximate the second derivative by computing the difdifquo for in [0, π). The commands are: And the difdifquo is:
Problem 3. Consider the...
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3. Consider the function f(x) = cos(x) in the interval [0,8]. You are given the following 3 point...
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[EUM 114 1. Let f(x) be a function of period 2 (a) over the interval 0<x<2 such that f(x) = - f(x)pada selan...
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a) Verify the Rolle's theorem for the function f(x) = -1 x +x-6 over the interval...
a) Verify the Rolle's theorem for the function f(x) = -1 x +x-6 over the interval (-3, 2] 3-X b) Find the absolute maximum and minimum values of function f(x)= (1+x?)Ě over the interval [-1,1] c) Find the following for the function f(x) = 2x – 3x – 12x +8 i) Intervals where f(x) is increasing and decreasing. ii) Local minimum and local maximum of f(x) iii) Intervals where f(x) is concave up and concave down. iv) Inflection point(s). v)...
Please write code in MATLAB. HW12_4: Solve the system of nonlinear equations over the interval 0 st0.03 using ode45. Display the results on the same graph. Include a legend. x(0)-3, y(0)-2, z(0)-1 ax...
Please write code in MATLAB.
HW12_4: Solve the system of nonlinear equations over the interval 0 st0.03 using ode45. Display the results on the same graph. Include a legend. x(0)-3, y(0)-2, z(0)-1 ax dt dy dz
HW12_4: Solve the system of nonlinear equations over the interval 0 st0.03 using ode45. Display the results on the same graph. Include a legend. x(0)-3, y(0)-2, z(0)-1 ax dt dy dz
6. [10 points] Consider the function f(x) = 2 + cose over the interval (1,6), where...
6. [10 points] Consider the function f(x) = 2 + cose over the interval (1,6), where I is measured in radians. Let S be the region that is bounded above by the graph of f(x), below by the 2-axis, on the left by the line = 1, and on the right by the line = 6. This question concerns the process of approximating, and exactly calculating, the volume of the solid that is obtained when S is rotated around the...
Section A Q1 0 Using the following Taylor series expansion: f(x+h) = f(x)+hf'(x)+22 h 3! f"(x)+...
Section A Q1 0 Using the following Taylor series expansion: f(x+h) = f(x)+hf'(x)+22 h 3! f"(x)+ (+0) (1.1) 4! show that the central finite difference formula for the first derivative can be written as: f'(x)= f(x+h)-f(x-1) + ch" +0(hº) (1.2) 2h Determine cp and of the derived equation. [4 marks] Consider the function: f(x) = sin +COS (1.3) 2 2 Let x =ih with n=0.25, give your answer in 3 decimals for (ii) to (vi): (ii) Evaluate f(x) for i...
Compute the following problems using Math Lab. Instructions: Answer All Questions using MATLAB commands. Question 1....
Compute the following problems using Math
Lab.
Instructions: Answer All Questions using MATLAB commands. Question 1. Create a vector of the even whole numbers between 31 and 75. Question 2. Let x [2516] a. Add 16 to each element b. Add 3 to just the odd-index elcments c. Compute the square root of each element d. Compute the square of each element Question 3. Let x 13 268T and y [4 1 3 5] (NB. x and y should be...
please explain and do in matlab
Problem 3. Consider the function f(x) e cos(2r). (1) Sketch its graph over the interval [0, m) by the following commands: (2) Using h = 0.01 π/6 in [0, π]. The commands are: to compute the difference quotient for z And the difference quotient is: ( 6 (3) Using h-0.01 to approximate the second derivative by computing the difdifquo for in [0, π). The commands are: And the difdifquo is:
Problem 3. Consider the...
1. (20 points) Graph the function over a one period interval. y= 3 – 6cos (2x +) Y--Pocos [2<*+ * ))+3 yu-cos ( 2x+ 2) +3 a. (1 pt) What is the amplitude? b. (2 pts) What is the period? 1-6)=0 b C. (4 pts) What is the interval of one period? 04 204*2. 0€* 품 d. (2 pts) What is the range? e. (1 pt) What is the y-intercept? (2 pts) f. What is the phase shift? To the...
3. Consider the function f(x) = cos(x) in the interval [0,8]. You are given the following 3 points of this function: 10.5403 2 -0.4161 6 0.9602 (a) (2 points) Calculate the quadratic Lagrange interpolating polynomial as the sum of the Lo(x), L1(x), L2(x) polynomials we defined in class. The final answer should be in the form P)a2 bx c, but with a, b, c known. DELIVERABLES: All your work in constructing the polynomial. This is to be done by hand...
Problem 5. Consider least squares polynomial approximation to f(x) = cos (nx) on x E [-1,1] using the inner product 1. In finding coefficients you will need to compute the integral By symmetry, an 0 for odd n, so we need only consider even n. (a) Make a change of variables and use appropriate identities to transform the integral for a to cos (Bcos 8)cos (ne) de (b) The Bessel function of even order, (x), can be defined by the...
[EUM 114 1. Let f(x) be a function of period 2 (a) over the interval 0<x<2 such that f(x) = - f(x)pada selang Diberikan f(x) sebagai fungsi dengan tempoh 2t yang mana 0<x<2m Sketch a graph of f (x) in the interval of 0 <x< 4 (1 marks/markah) Demonstrate that the Fourier Series for f(x) in the interval 0<x< 2n is (ii) 1 2x+-sin 3x + 1 sin x + (6 marks/markah) Determine the half range cosine Fourier series expansion...
a) Verify the Rolle's theorem for the function f(x) = -1 x +x-6 over the interval (-3, 2] 3-X b) Find the absolute maximum and minimum values of function f(x)= (1+x?)Ě over the interval [-1,1] c) Find the following for the function f(x) = 2x – 3x – 12x +8 i) Intervals where f(x) is increasing and decreasing. ii) Local minimum and local maximum of f(x) iii) Intervals where f(x) is concave up and concave down. iv) Inflection point(s). v)...
Please write code in MATLAB.
HW12_4: Solve the system of nonlinear equations over the interval 0 st0.03 using ode45. Display the results on the same graph. Include a legend. x(0)-3, y(0)-2, z(0)-1 ax dt dy dz
HW12_4: Solve the system of nonlinear equations over the interval 0 st0.03 using ode45. Display the results on the same graph. Include a legend. x(0)-3, y(0)-2, z(0)-1 ax dt dy dz
6. [10 points] Consider the function f(x) = 2 + cose over the interval (1,6), where I is measured in radians. Let S be the region that is bounded above by the graph of f(x), below by the 2-axis, on the left by the line = 1, and on the right by the line = 6. This question concerns the process of approximating, and exactly calculating, the volume of the solid that is obtained when S is rotated around the...
Section A Q1 0 Using the following Taylor series expansion: f(x+h) = f(x)+hf'(x)+22 h 3! f"(x)+ (+0) (1.1) 4! show that the central finite difference formula for the first derivative can be written as: f'(x)= f(x+h)-f(x-1) + ch" +0(hº) (1.2) 2h Determine cp and of the derived equation. [4 marks] Consider the function: f(x) = sin +COS (1.3) 2 2 Let x =ih with n=0.25, give your answer in 3 decimals for (ii) to (vi): (ii) Evaluate f(x) for i...
Compute the following problems using Math
Lab.
Instructions: Answer All Questions using MATLAB commands. Question 1. Create a vector of the even whole numbers between 31 and 75. Question 2. Let x [2516] a. Add 16 to each element b. Add 3 to just the odd-index elcments c. Compute the square root of each element d. Compute the square of each element Question 3. Let x 13 268T and y [4 1 3 5] (NB. x and y should be...
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