Please use Taylor Polynomial series and quadratic formula.
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Please use Taylor Polynomial series and quadratic formula. 8. (10 points) Consider the equation cos(x)-x = 0. The plot of y-cos(x)-x reve that the equation has a single root lying in the interval [0,...
- 2y²,y(0) =0. 1+x² 4) Consider the IVP y'= х a) Verify that y= is the...
- 2y²,y(0) =0. 1+x² 4) Consider the IVP y'= х a) Verify that y= is the solution of this IVP. 1+x? b) Use Euler's method to numerically approximate the solution to this IVP over the interval [0,2] in x. Set the mesh width h=0.1. Calculate the true values of y atthe appropriate values of x as well as the error in your numerical approximation. Report your results in the table given. Report answers to four decimal places. Numerical Actual y...
Consider the following function. (x) = x-8, (a) Approximate fby a Taylor polynomial with degree n at the number a. 0.8 s xs 1.2 n=2, a31, T2(x) = Tmx) when x lies in the given interval. (Round your a...
Consider the following function. (x) = x-8, (a) Approximate fby a Taylor polynomial with degree n at the number a. 0.8 s xs 1.2 n=2, a31, T2(x) = Tmx) when x lies in the given interval. (Round your answer to six decimal places.) (b) Use Taylor's Inequality to estimate the accuracy of the approximation rx (c) Check your result in part (b) by graphing R(x)l 3 2.5 2.0 1.2 WebAssign Plot 0.9 0.5 1.2 0.9 3 1.2 1.0 -0.5 1.0...
In MATLAB please Consider the nonlinear function: y = f(x) = x3 cos x a. Plot...
In MATLAB please
Consider the nonlinear function: y = f(x) = x3 cos x a. Plot y as a function of x as x is varied between -67 and 67. In this plot mark all the locations of x where y = 0. Make sure to get all the roots in this range. You may need to zoom in to some areas of the plot. These locations are some of the roots of the above equation. b. Use the fzero...
in matlab -Consider the equation f(x) = x-2-sin x = 0 on the interval x E [0.1,4 π] Use a plot to approximately locate the roots of f. To which roots do the fol- owing initial guesses converge wh...
in
matlab
-Consider the equation f(x) = x-2-sin x = 0 on the interval x E [0.1,4 π] Use a plot to approximately locate the roots of f. To which roots do the fol- owing initial guesses converge when using Function 4.3.1? Is the root obtained the one that is closest to that guess? )xo = 1.5, (b) x0 = 2, (c) x.-3.2, (d) xo = 4, (e) xo = 5, (f) xo = 27. Function 4.3.1 (newton) Newton's method...
3. The system represented by the block diagram below modulates the message signal x(t) with a carrier wave c(t) to yield -(). The signal y(t) is generated by multiplying z() by the carrier wave c(t)....
3. The system represented by the block diagram below modulates the message signal x(t) with a carrier wave c(t) to yield -(). The signal y(t) is generated by multiplying z() by the carrier wave c(t). c(t) c(t) y(t) z(t) The output signal,y(t), can be written as y(t)-C() × X() x C(t). Using the properties of a) Fourier Transforms, write Yi) in terms of Cjo) and Yj). [2 points] The Fourier Transform of x(t) is illustrated below. 0.9 0.8 0.7 0.6...
14 14 points | Previous Answers SCalcET8 11.11.021 Consider the following function. rx)-x sin(x), a = 0, n = 4, -0.9 x 0.9 (a) Approximate fby a Taylor polynomial with degree n at the number a 3! (b)...
14 14 points | Previous Answers SCalcET8 11.11.021 Consider the following function. rx)-x sin(x), a = 0, n = 4, -0.9 x 0.9 (a) Approximate fby a Taylor polynomial with degree n at the number a 3! (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x)T(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer to four decimal places.) IR4(x)l 0.0005 (c) Check your result in part (b) by...
Consider the value problem given below y=x+3 cos (xy). (O)=0 Use the improved Euler's method subroutine...
Consider the value problem given below y=x+3 cos (xy). (O)=0 Use the improved Euler's method subroutine with step size 0.5 to approximate the solution to the initial value problem at points x=0.0.0.5, 1.0,..., 5.0. Use your answers to make a rough sketch of the solution on 0,5 Fill in the approximation table below. (Do not round unt the fral answers. The round to three decimal places as needed) Y 00 0.5 1.0 15 2.0 25 30 3.5 4.0 4.5 50...
Please answer all questions, I will rate you well. Thanks :) 14. 514 points | Previous Answers SCal:ET 11.11.021. Consider the following function. /(x) = x sin(x), a = 0, n = 4, -0.9 x 0.9 (a) Approxi...
Please answer all questions, I
will rate you well. Thanks :)
14. 514 points | Previous Answers SCal:ET 11.11.021. Consider the following function. /(x) = x sin(x), a = 0, n = 4, -0.9 x 0.9 (a) Approximate fby a Taylor polynomial with degree n at the number a (b) Use Taylor's Inequality to estimate the accuracy of the approximation x) * Tp(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer...
"A Watch t use 0.62/1.25 points 1 Prefous Anewe LaPCalc 10 B.018 Consider the follewing. x-3 cos 0 y5 sin...
"A Watch t use 0.62/1.25 points 1 Prefous Anewe LaPCalc 10 B.018 Consider the follewing. x-3 cos 0 y5 sin 8 (a) Sketch the curve represented by the parametric equations (indicate the orlentation of the curve) y 10 -2 21 2 -10 21 -10 (b) Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve Adjust the domain of the resuting rectangular eqvation if necessary oed Heln? 0/1.25 points | Previous Answers LarPCalc8 10.6.042 6. Find...
Discretization, ODE solving, condition number. Consider the differential equation 5y"(x) - 2y'(x) +10y(x)0 on the interval x E [0,10] with boundary conditions y(0)2 and y (10) 3 we set up a f...
Discretization, ODE solving, condition number. Consider the differential equation 5y"(x) - 2y'(x) +10y(x)0 on the interval x E [0,10] with boundary conditions y(0)2 and y (10) 3 we set up a finite difference scheme as follows. Divide [0,10] into N-10 sub-intervals, i.e. {xo, X1, [0,1,. 10. Denote xi Xo + ih (here, h- 1) and yi E y(x). Approximate the derivatives as follows X10- 2h we have the following equations representing the ODE at each point Xi ,i = 1,...
- 2y²,y(0) =0. 1+x² 4) Consider the IVP y'= х a) Verify that y= is the solution of this IVP. 1+x? b) Use Euler's method to numerically approximate the solution to this IVP over the interval [0,2] in x. Set the mesh width h=0.1. Calculate the true values of y atthe appropriate values of x as well as the error in your numerical approximation. Report your results in the table given. Report answers to four decimal places. Numerical Actual y...
Consider the following function. (x) = x-8, (a) Approximate fby a Taylor polynomial with degree n at the number a. 0.8 s xs 1.2 n=2, a31, T2(x) = Tmx) when x lies in the given interval. (Round your answer to six decimal places.) (b) Use Taylor's Inequality to estimate the accuracy of the approximation rx (c) Check your result in part (b) by graphing R(x)l 3 2.5 2.0 1.2 WebAssign Plot 0.9 0.5 1.2 0.9 3 1.2 1.0 -0.5 1.0...
In MATLAB please
Consider the nonlinear function: y = f(x) = x3 cos x a. Plot y as a function of x as x is varied between -67 and 67. In this plot mark all the locations of x where y = 0. Make sure to get all the roots in this range. You may need to zoom in to some areas of the plot. These locations are some of the roots of the above equation. b. Use the fzero...
in
matlab
-Consider the equation f(x) = x-2-sin x = 0 on the interval x E [0.1,4 π] Use a plot to approximately locate the roots of f. To which roots do the fol- owing initial guesses converge when using Function 4.3.1? Is the root obtained the one that is closest to that guess? )xo = 1.5, (b) x0 = 2, (c) x.-3.2, (d) xo = 4, (e) xo = 5, (f) xo = 27. Function 4.3.1 (newton) Newton's method...
3. The system represented by the block diagram below modulates the message signal x(t) with a carrier wave c(t) to yield -(). The signal y(t) is generated by multiplying z() by the carrier wave c(t). c(t) c(t) y(t) z(t) The output signal,y(t), can be written as y(t)-C() × X() x C(t). Using the properties of a) Fourier Transforms, write Yi) in terms of Cjo) and Yj). [2 points] The Fourier Transform of x(t) is illustrated below. 0.9 0.8 0.7 0.6...
14 14 points | Previous Answers SCalcET8 11.11.021 Consider the following function. rx)-x sin(x), a = 0, n = 4, -0.9 x 0.9 (a) Approximate fby a Taylor polynomial with degree n at the number a 3! (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x)T(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer to four decimal places.) IR4(x)l 0.0005 (c) Check your result in part (b) by...
Consider the value problem given below y=x+3 cos (xy). (O)=0 Use the improved Euler's method subroutine with step size 0.5 to approximate the solution to the initial value problem at points x=0.0.0.5, 1.0,..., 5.0. Use your answers to make a rough sketch of the solution on 0,5 Fill in the approximation table below. (Do not round unt the fral answers. The round to three decimal places as needed) Y 00 0.5 1.0 15 2.0 25 30 3.5 4.0 4.5 50...
Please answer all questions, I
will rate you well. Thanks :)
14. 514 points | Previous Answers SCal:ET 11.11.021. Consider the following function. /(x) = x sin(x), a = 0, n = 4, -0.9 x 0.9 (a) Approximate fby a Taylor polynomial with degree n at the number a (b) Use Taylor's Inequality to estimate the accuracy of the approximation x) * Tp(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer...
"A Watch t use 0.62/1.25 points 1 Prefous Anewe LaPCalc 10 B.018 Consider the follewing. x-3 cos 0 y5 sin 8 (a) Sketch the curve represented by the parametric equations (indicate the orlentation of the curve) y 10 -2 21 2 -10 21 -10 (b) Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve Adjust the domain of the resuting rectangular eqvation if necessary oed Heln? 0/1.25 points | Previous Answers LarPCalc8 10.6.042 6. Find...
Discretization, ODE solving, condition number. Consider the differential equation 5y"(x) - 2y'(x) +10y(x)0 on the interval x E [0,10] with boundary conditions y(0)2 and y (10) 3 we set up a finite difference scheme as follows. Divide [0,10] into N-10 sub-intervals, i.e. {xo, X1, [0,1,. 10. Denote xi Xo + ih (here, h- 1) and yi E y(x). Approximate the derivatives as follows X10- 2h we have the following equations representing the ODE at each point Xi ,i = 1,...
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