![5* x1/3 – 1 [(x2 + 1)/5] (5 * 21/3 – 1) (5 * 21/3 – 1)/2 All of the given options are correct](http://img.homeworklib.com/questions/449de2c0-0769-11ec-87d2-dd58aa04d337.png?x-oss-process=image/resize,w_560)
![[f(x+3)-f(x-3)]/(2x3) [f(x+3)+f(x-3)]/2 1/15*(16*I(3,2)-1(2,2)] 1/63*[64*1(3,2)-|(2,2)] None of the given](http://img.homeworklib.com/questions/45589c70-0769-11ec-aede-8142a19d5748.png?x-oss-process=image/resize,w_560)
Homework Answers
`Hey,
Note: If you have any queries related to the answer please do comment. I would be very happy to resolve all your queries.
1) OPTION A IS CORRECT
2) OPTION C
3) OPTION D IS CORRECT
4) OPTION A IS CORRECT
5) OPTION C IS CORRECT
Kindly revert for any queries
Thanks.
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The local truncation error for Euler's explicit method when solving ODEs is: Olh) Olha) Olh3) Olh4)...
(1 point) Solving a system of linear ODEs with constant coefficients: Consider the system of equations...
(1 point) Solving a system of linear ODEs with constant coefficients: Consider the system of equations x' = 3x – 2y y = 4x – 3y = -5x + 4y + 2z, with initial conditions x(0) = 1, y(0) = 2, 2(0) = 0. The matrix of the system is 13 -20 A= | 4 -3 0 1-5 4 2) and defining the column vector r(t) X(t) = y(t) z(t) we get that X' = AX, where X(0 = 2...
(1 point) Mark all of the possibilities that can arise when solving a quadratic equation as...
(1 point) Mark all of the possibilities that can arise when solving a quadratic equation as in the method of solving order 2 Cauchy-Euler equations. е A. One repeated real root. B. Two distinct real roots. C. No roots D. One complex root. E. Two complex roots. F. One real root and one complex root. G. None of the above (1 point) To find , and u, we would need to integrate which of the following? Mark all that apply....
IGNORE (i) (ii) The procedure of finding series solutions to a homogeneous linear second-order ODEs could...
IGNORE (i)
(ii) The procedure of finding series solutions to a homogeneous
linear second-order ODEs could be accurately described as the
“method of undetermined series coefficients”.
(iii) The underlying idea behind the method of undetermined
coefficients is a conjecture about the form of a particular
solution that is motivated by the right-hand side of the equation.
The method of undetermined coefficients is limited to second-order
linear ODEs with constant coefficients and the right-hand side of
the ODE cannot be an...
explain how to find error local in this example and difference between local and global X...
explain how to find error local in this example
and difference between local and global
X Yeuler Y true Example: Euler's Method Solve numerically: dy - 2x +12x’ - 20x+8. 5 Error Global Error Local % From x=0 to x=4 with step size h=0.5 initial condition: (x=0; y=1) 0 0.5 1.0 5.250 5.875 3.218 3.000 63.1 95.8 63.1 28 5.125 2.218 131.0 1.41 Exact Solution: y = -0.5x4 + 4x - 10x2 + 8.5x +1 Numerical Solution: Vi+ 1 Yi+1...
dont ans this question Euler's method is based on the fact that the tangent line gives...
dont ans this question
Euler's method is based on the fact that the tangent line gives a good local approximation for the function. But why restrict ourselves to linear approximants when higher degree polynomial approximants are available? For example, we can use the Taylor polynomial of degree about = No, which is defined by P.(x) = y(x) + y (xo)(x – Xa) + 21 (x- This polynomial is the nth partial sum of the Taylor series representation (te) (x –...
(a) Given the following function f(x) below. Sketch the graph of the following function A1. f () 3 1, 12 5 marks (b) Ve...
(a) Given the following function f(x) below. Sketch the graph of the following function A1. f () 3 1, 12 5 marks (b) Verify from the graph that the interval endpoints at zo and zi have opposite signs. Use the bisection method to estimate the root (to 4 decimal places) of the equation 5 marks] (c) Use the secant method to estimate the root (to 4 decimal places) of the equation 6 marks that lies between the endpoints given. (Perform...
python: def functionSolver(function: callable)->str You will be given a function as a parameter, the function you...
python: def functionSolver(function: callable)->str You will be given a function as a parameter, the function you are given only accepts two number parameters and produces a float value. It is your job to figure out what mathematical operation the function you are given is performing by passing it many different parameters. The possible operations the function can perform are: add, subtract, multiply, and divide. The given function will only perform a single operation, it will not change after consecutive invocations....
i dont understand 13-15 can u explain? Precle and Problem Solving berdes Practice When eale expression...
i dont understand 13-15 can u explain?
Precle and Problem Solving berdes Practice When eale expression that models each word phrase 10. four more than a number 11. the product of 8 and the sum of a numbers and 3 12. the quotient of the difference between 5 and a number, and 2 Write an algebraic expression that models each situation. 13. Jenny had $130, but she is spending $10 per week 14. The piggy bank contained $25, and $1.50...
1. If a function f(x,y) has a local maximum then it is not necessary that it...
1. If a function f(x,y) has a local maximum then it is not necessary that it has also a local minimum True False 2. If a vector field F is conservative then we can not find a potential functions. True False 3. Suppose that P and Q have continuous first-order partial derivatives on a domain D and consider the vector field F = Pi+Qj. Then F is conservative if op 80 True False 4. If D is a rectangle, then...
Java Programming (Queues and LinkedLists) The annual First robotics competition is hosted by SVSU...
Java Programming (Queues and LinkedLists) The annual First robotics competition is hosted by SVSU every year, and each year students from different schools come in numbers to compete and show off their technical prowess.The winner of the competition wins the prestigious Michigan state championship and bragging rights for the next 12 months. The first step to participate in the competition is to register yourself as an contestant. This can be done at the registration booth at SVSU, where contestant form...
(1 point) Solving a system of linear ODEs with constant coefficients: Consider the system of equations x' = 3x – 2y y = 4x – 3y = -5x + 4y + 2z, with initial conditions x(0) = 1, y(0) = 2, 2(0) = 0. The matrix of the system is 13 -20 A= | 4 -3 0 1-5 4 2) and defining the column vector r(t) X(t) = y(t) z(t) we get that X' = AX, where X(0 = 2...
(1 point) Mark all of the possibilities that can arise when solving a quadratic equation as in the method of solving order 2 Cauchy-Euler equations. е A. One repeated real root. B. Two distinct real roots. C. No roots D. One complex root. E. Two complex roots. F. One real root and one complex root. G. None of the above (1 point) To find , and u, we would need to integrate which of the following? Mark all that apply....
IGNORE (i)
(ii) The procedure of finding series solutions to a homogeneous
linear second-order ODEs could be accurately described as the
“method of undetermined series coefficients”.
(iii) The underlying idea behind the method of undetermined
coefficients is a conjecture about the form of a particular
solution that is motivated by the right-hand side of the equation.
The method of undetermined coefficients is limited to second-order
linear ODEs with constant coefficients and the right-hand side of
the ODE cannot be an...
explain how to find error local in this example
and difference between local and global
X Yeuler Y true Example: Euler's Method Solve numerically: dy - 2x +12x’ - 20x+8. 5 Error Global Error Local % From x=0 to x=4 with step size h=0.5 initial condition: (x=0; y=1) 0 0.5 1.0 5.250 5.875 3.218 3.000 63.1 95.8 63.1 28 5.125 2.218 131.0 1.41 Exact Solution: y = -0.5x4 + 4x - 10x2 + 8.5x +1 Numerical Solution: Vi+ 1 Yi+1...
dont ans this question
Euler's method is based on the fact that the tangent line gives a good local approximation for the function. But why restrict ourselves to linear approximants when higher degree polynomial approximants are available? For example, we can use the Taylor polynomial of degree about = No, which is defined by P.(x) = y(x) + y (xo)(x – Xa) + 21 (x- This polynomial is the nth partial sum of the Taylor series representation (te) (x –...
(a) Given the following function f(x) below. Sketch the graph of the following function A1. f () 3 1, 12 5 marks (b) Verify from the graph that the interval endpoints at zo and zi have opposite signs. Use the bisection method to estimate the root (to 4 decimal places) of the equation 5 marks] (c) Use the secant method to estimate the root (to 4 decimal places) of the equation 6 marks that lies between the endpoints given. (Perform...
i dont understand 13-15 can u explain?
Precle and Problem Solving berdes Practice When eale expression that models each word phrase 10. four more than a number 11. the product of 8 and the sum of a numbers and 3 12. the quotient of the difference between 5 and a number, and 2 Write an algebraic expression that models each situation. 13. Jenny had $130, but she is spending $10 per week 14. The piggy bank contained $25, and $1.50...
1. If a function f(x,y) has a local maximum then it is not necessary that it has also a local minimum True False 2. If a vector field F is conservative then we can not find a potential functions. True False 3. Suppose that P and Q have continuous first-order partial derivatives on a domain D and consider the vector field F = Pi+Qj. Then F is conservative if op 80 True False 4. If D is a rectangle, then...
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