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You will integrate the following rational function: -222–162+36 dz (2-3) (x+2)(x-1) -222-162+36 To do this, start...
(5.6.21 from Stewart and Day) If a factor of the denominator of a rational function is...
(5.6.21 from Stewart and Day) If a factor of the denominator of a rational function is an irreducible quadratic, such as x2+1, the corresponding partial fraction has a linear numerator. For instance, Bx+c f(x) = 2x2+x+1 Determine the values of A, B, and C and use them to evaluate x2+1 x(x2+1) f(x)dx. Use C as your constant of integration, and don't forget to use absolute value bars where needed. | axlox f(x) dx = (5.6.20 from Stewart and Day) If...
please do problem No. 3! There are 3 problems in the first part of this homework...
please do problem No. 3!
There are 3 problems in the first part of this homework assignment. Consider the following second order nonhomogeneous linear dif- ferential equations (1) y" + 100y = 36 cos(8x) + 72 sin(8x), (2) y" – 4y' + 3y = (2 – 12x)e" + (60 + 40x)e37, (3) Y" – 2ay' +a²y = 60xeQ2 + 60x’ear, where a + ( is a real nonozero constant. Use the method of unde- termined coefficients to find a particular...
2. Suppose that you were to try to find a parabola y az2 +bz c that passes through the (x, y) pairs (-4,7), (-1,-3), and (1,6). To obtain the coefficients a, b, and c you would try to solve a system...
2. Suppose that you were to try to find a parabola y az2 +bz c that passes through the (x, y) pairs (-4,7), (-1,-3), and (1,6). To obtain the coefficients a, b, and c you would try to solve a system of linear equations whose augmented matrix is which of the following? 16 -4 1 49 16 -4 1 7 (a)9-1-3(b)11 1 9(1-1 1 -3 36 1 1 6 49 7 1 16 (d)1 -3 1-1(e)9 3 1 1 36...
1. Consider the transformed function g(x)=-3 +2 of the function (x Then answer the following: a....
1. Consider the transformed function g(x)=-3 +2 of the function (x Then answer the following: a. List the sequence of transformations in a correct order. b. Write the equation of the horizontal asymptote. c. Find the vertical intercept of g(x) written as an ordered pair. d. Find the horizontal intercept algebraically and leave it in an exact form (not decimal approximation). e. Sketch the graph of g(x) 2. Solve the following equations algebraically for x : a. 16-) = 82-1...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2....
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
On Matlab: Use both X=A\b and X=inv(A)∗b to find x,y,z. Use tic toc to time each...
On
Matlab: Use both X=A\b and X=inv(A)∗b to find x,y,z. Use tic
toc to time each method.
Then create a general solver to solve any linear system of n
equations and n unknowns of the form AX = b. Allow the user to
input the n×n matrix A and n×1 column vector b. Use X = A\b to
solve the system in your script and display the solution to the
user. Try your solver with A = randi(50, 10),
b...
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6...
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6 = 2-5x a. b. x/m + x/n = 1 C 1/x = 3/m d. Sx/3 = 2 34. Find b if: x/(x+a) = 2/b a. b. v(x - b') =y 35. Solve the following Simultaneous linear equations and check in both equations: a) 3x+y=-4 x-2y 1 b) 5x+y=-8 2x-2y 4 Answer: x-1, y.3 36. Evaluate the expression below, if b-3 and c-2. 2bc'+(bc) Helpful...
Entered Answer Preview Result 2*(y^2)-[(x^2)/2] 2oy2 correct y = sqrt(([(x^2)/2]+7.5)/2) correct y = [([(x^2)/2]+4)^(1/2)] incorrect At...
Entered Answer Preview Result 2*(y^2)-[(x^2)/2] 2oy2 correct y = sqrt(([(x^2)/2]+7.5)/2) correct y = [([(x^2)/2]+4)^(1/2)] incorrect At least one of the answers above is NOT correct. (1 point) Solve the differential equation dx 4y a. Find an implicit solution and put your answer in the following form: 2y^2-(x^2/2) = constant b. Find the equation of the solution through the point (x, y) = (1, 2). Your answer should be of the form y = f(x). y=sqrt((((x^2y/2)+7.5)/2) c. Find the equation of...
Question 1 3 pts The solution of the Initial-Value Problem (IVP) S (x + y)dx –...
Question 1 3 pts The solution of the Initial-Value Problem (IVP) S (x + y)dx – «dy = 0 is given by 1 y(1) = 0 Oy=det-1 - 1 Oy= < ln(x + y) Oy= (x + y) In x Oy= < In x None of them Question 2 3 pts The general solution of the first order non-homogeneous linear differential equation with variable coefficients dy (x + 1) + xy = e-">-1 equals dx 2 Oy=e* (C(x - 1)...
Only 10 True or False questions. Please answer ALL questions. Thank you! 1) It is always...
Only 10 True or False questions. Please answer ALL questions. Thank you! 1) It is always the case that P(x) (profit), R(x) (revenue), and C(x) (costs) are best modeled by linear equations. 2) If you collect data on 2 variables x & y, and then you draw a scatter plot of the ordered pairs (x,y), the variables show positive correlation if the scatter plot decreases as you move from left to right. 3) To determine the break even point for...
(5.6.21 from Stewart and Day) If a factor of the denominator of a rational function is an irreducible quadratic, such as x2+1, the corresponding partial fraction has a linear numerator. For instance, Bx+c f(x) = 2x2+x+1 Determine the values of A, B, and C and use them to evaluate x2+1 x(x2+1) f(x)dx. Use C as your constant of integration, and don't forget to use absolute value bars where needed. | axlox f(x) dx = (5.6.20 from Stewart and Day) If...
please do problem No. 3!
There are 3 problems in the first part of this homework assignment. Consider the following second order nonhomogeneous linear dif- ferential equations (1) y" + 100y = 36 cos(8x) + 72 sin(8x), (2) y" – 4y' + 3y = (2 – 12x)e" + (60 + 40x)e37, (3) Y" – 2ay' +a²y = 60xeQ2 + 60x’ear, where a + ( is a real nonozero constant. Use the method of unde- termined coefficients to find a particular...
2. Suppose that you were to try to find a parabola y az2 +bz c that passes through the (x, y) pairs (-4,7), (-1,-3), and (1,6). To obtain the coefficients a, b, and c you would try to solve a system of linear equations whose augmented matrix is which of the following? 16 -4 1 49 16 -4 1 7 (a)9-1-3(b)11 1 9(1-1 1 -3 36 1 1 6 49 7 1 16 (d)1 -3 1-1(e)9 3 1 1 36...
1. Consider the transformed function g(x)=-3 +2 of the function (x Then answer the following: a. List the sequence of transformations in a correct order. b. Write the equation of the horizontal asymptote. c. Find the vertical intercept of g(x) written as an ordered pair. d. Find the horizontal intercept algebraically and leave it in an exact form (not decimal approximation). e. Sketch the graph of g(x) 2. Solve the following equations algebraically for x : a. 16-) = 82-1...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
On
Matlab: Use both X=A\b and X=inv(A)∗b to find x,y,z. Use tic
toc to time each method.
Then create a general solver to solve any linear system of n
equations and n unknowns of the form AX = b. Allow the user to
input the n×n matrix A and n×1 column vector b. Use X = A\b to
solve the system in your script and display the solution to the
user. Try your solver with A = randi(50, 10),
b...
32. Simplify : a. x/3-x/4 b. 3/(2x) -4/x c. 1/2x-1/3x 33. Find x if: 3x +6 = 2-5x a. b. x/m + x/n = 1 C 1/x = 3/m d. Sx/3 = 2 34. Find b if: x/(x+a) = 2/b a. b. v(x - b') =y 35. Solve the following Simultaneous linear equations and check in both equations: a) 3x+y=-4 x-2y 1 b) 5x+y=-8 2x-2y 4 Answer: x-1, y.3 36. Evaluate the expression below, if b-3 and c-2. 2bc'+(bc) Helpful...
Entered Answer Preview Result 2*(y^2)-[(x^2)/2] 2oy2 correct y = sqrt(([(x^2)/2]+7.5)/2) correct y = [([(x^2)/2]+4)^(1/2)] incorrect At least one of the answers above is NOT correct. (1 point) Solve the differential equation dx 4y a. Find an implicit solution and put your answer in the following form: 2y^2-(x^2/2) = constant b. Find the equation of the solution through the point (x, y) = (1, 2). Your answer should be of the form y = f(x). y=sqrt((((x^2y/2)+7.5)/2) c. Find the equation of...
Question 1 3 pts The solution of the Initial-Value Problem (IVP) S (x + y)dx – «dy = 0 is given by 1 y(1) = 0 Oy=det-1 - 1 Oy= < ln(x + y) Oy= (x + y) In x Oy= < In x None of them Question 2 3 pts The general solution of the first order non-homogeneous linear differential equation with variable coefficients dy (x + 1) + xy = e-">-1 equals dx 2 Oy=e* (C(x - 1)...
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