CS计算机代考程序代写 matlab Java [Content_Types].xml

[Content_Types].xml

_rels/.rels

mathml/eqn1.mml

matlab/_rels/document.xml.rels

matlab/document.xml

matlab/output.xml

metadata/coreProperties.xml

metadata/mwcoreProperties.xml

metadata/mwcorePropertiesExtension.xml

metadata/mwcorePropertiesReleaseInfo.xml

f(x)=cos(x)

Plotting Taylor Series This livescript shows you how you can use MATLAB to plot a Taylor series of \cos(x) . A Taylor series of any function can be written concisely as f(x)=\sum_{k=0}^{\infty}\frac{f^{(k)}(x_0)}{k!}(x-x_0)^k It is sometimes useful to expand this summation to clearly see all the terms of the Taylor series f(x) =f(x_0)+f'(x_0)(x-x_0)+\frac{f”(x_0)}{2!}(x-x_0)^2+\frac{f”'(x_0)}{3!}(x-x_0)^3+\frac{f^{iv}(x_0)}{4!}(x-x_0)^4 +…. Finding the Taylor series of a function now just involve finding all the terms on the right hand side of the equation above. For this example, we will find the Taylor series of f(x)=\cos(x) “about x=0 ” so we set x_0=0 . f(x_0)=f(0)=\cos(0)=1 f'(x_0)=f'(0)=\left.\frac{df}{dx}\right|_{x=0}=-\sin(0)=0 f”(x_0)=f”(0)=\left.\frac{d^2f}{dx^2}\right|_{x=0}=-\cos(0)=-1 f”'(x_0)=f”'(0)=\left.\frac{d^3f}{dx^3}\right|_{x=0}=\sin(0)=0 f^{iv}(x_0)=f^{iv}(0)=\left.\frac{d^4f}{dx^4}\right|_{x=0}=\cos(0)=1 \vdots Substituting into the Taylor series will give you f_{taylor}(x)=1-\frac{1}{2}x^2+\frac{1}{24}x^4-\frac{1}{720}x^6+….. We will now plot the Taylor series for f\left(x\right)=\mathrm{cos}\left(x\right)\; for -5\leq x\leq 5 . Define a vector from -5\leq x \leq 5 . x=-5:0.1:5 Define the true function, f_{real}(x)=\cos(x) freal=cos(x) Define the Taylor series of \cos(x) , f_{taylor}(x)=1-\frac{1}{2}x^2+\frac{1}{24}x^4-\frac{1}{720}x^6+….. ftaylor=ones(size(x))
%ftaylor=ones(size(x))-(1./2.)*x.^2
%ftaylor=ones(size(x))-(1./2.)*x.^2+(1./24.)*x.^4
%ftaylor=ones(size(x))-(1./2.)*x.^2+(1./24.)*x.^4-(1./720.)*x.^6 Now plot f_{real}(x) and f_{taylor}(x) plot(x,freal,’k-‘,x,ftaylor,’b-o’)
xlabel(‘x’)
ylabel(‘f(x)’) Now limit the function in the y axis so that it is clearer to see what is going on ylim([-2,2])
xlim([-5,5]) Note that the Taylor series approximates the value of $f_{real}$(x) very well at x\approx 0 . For x\neq 0 , the approximation gets better and better if you add more and more terms to f_{taylor}(x) .

manual code ready 0.4 matrix x 1×101 1 101 double -5.0000 -4.9000 -4.8000 -4.7000 -4.6000 -4.5000 -4.4000 -4.3000 -4.2000 -4.1000 -4.0000 -3.9000 -3.8000 -3.7000 -3.6000 -3.5000 -3.4000 -3.3000 -3.2000 -3.1000 -3.0000 -2.9000 -2.8000 -2.7000 -2.6000 -2.5000 -2.4000 -2.3000 -2.2000 -2.1000 -2.0000 -1.9000 -1.8000 -1.7000 -1.6000 -1.5000 -1.4000 -1.3000 -1.2000 -1.1000 -1.0000 -0.9000 -0.8000 -0.7000 -0.6000 -0.5000 -0.4000 -0.3000 -0.2000 -0.1000
double double [[{“value”:”{\”value\”:\”-5.0000\”}”},{“value”:”{\”value\”:\”-4.9000\”}”},{“value”:”{\”value\”:\”-4.8000\”}”},{“value”:”{\”value\”:\”-4.7000\”}”},{“value”:”{\”value\”:\”-4.6000\”}”},{“value”:”{\”value\”:\”-4.5000\”}”},{“value”:”{\”value\”:\”-4.4000\”}”},{“value”:”{\”value\”:\”-4.3000\”}”},{“value”:”{\”value\”:\”-4.2000\”}”},{“value”:”{\”value\”:\”-4.1000\”}”},{“value”:”{\”value\”:\”-4.0000\”}”},{“value”:”{\”value\”:\”-3.9000\”}”},{“value”:”{\”value\”:\”-3.8000\”}”},{“value”:”{\”value\”:\”-3.7000\”}”},{“value”:”{\”value\”:\”-3.6000\”}”},{“value”:”{\”value\”:\”-3.5000\”}”},{“value”:”{\”value\”:\”-3.4000\”}”},{“value”:”{\”value\”:\”-3.3000\”}”},{“value”:”{\”value\”:\”-3.2000\”}”},{“value”:”{\”value\”:\”-3.1000\”}”},{“value”:”{\”value\”:\”-3.0000\”}”},{“value”:”{\”value\”:\”-2.9000\”}”},{“value”:”{\”value\”:\”-2.8000\”}”},{“value”:”{\”value\”:\”-2.7000\”}”},{“value”:”{\”value\”:\”-2.6000\”}”},{“value”:”{\”value\”:\”-2.5000\”}”},{“value”:”{\”value\”:\”-2.4000\”}”},{“value”:”{\”value\”:\”-2.3000\”}”},{“value”:”{\”value\”:\”-2.2000\”}”},{“value”:”{\”value\”:\”-2.1000\”}”}]] 1 matrix freal 1×101 1 101 double 0.2837 0.1865 0.0875 -0.0124 -0.1122 -0.2108 -0.3073 -0.4008 -0.4903 -0.5748 -0.6536 -0.7259 -0.7910 -0.8481 -0.8968 -0.9365 -0.9668 -0.9875 -0.9983 -0.9991 -0.9900 -0.9710 -0.9422 -0.9041 -0.8569 -0.8011 -0.7374 -0.6663 -0.5885 -0.5048 -0.4161 -0.3233 -0.2272 -0.1288 -0.0292 0.0707 0.1700 0.2675 0.3624 0.4536 0.5403 0.6216 0.6967 0.7648 0.8253 0.8776 0.9211 0.9553 0.9801 0.9950
double double [[{“value”:”{\”value\”:\”0.2837\”}”},{“value”:”{\”value\”:\”0.1865\”}”},{“value”:”{\”value\”:\”0.0875\”}”},{“value”:”{\”value\”:\”-0.0124\”}”},{“value”:”{\”value\”:\”-0.1122\”}”},{“value”:”{\”value\”:\”-0.2108\”}”},{“value”:”{\”value\”:\”-0.3073\”}”},{“value”:”{\”value\”:\”-0.4008\”}”},{“value”:”{\”value\”:\”-0.4903\”}”},{“value”:”{\”value\”:\”-0.5748\”}”},{“value”:”{\”value\”:\”-0.6536\”}”},{“value”:”{\”value\”:\”-0.7259\”}”},{“value”:”{\”value\”:\”-0.7910\”}”},{“value”:”{\”value\”:\”-0.8481\”}”},{“value”:”{\”value\”:\”-0.8968\”}”},{“value”:”{\”value\”:\”-0.9365\”}”},{“value”:”{\”value\”:\”-0.9668\”}”},{“value”:”{\”value\”:\”-0.9875\”}”},{“value”:”{\”value\”:\”-0.9983\”}”},{“value”:”{\”value\”:\”-0.9991\”}”},{“value”:”{\”value\”:\”-0.9900\”}”},{“value”:”{\”value\”:\”-0.9710\”}”},{“value”:”{\”value\”:\”-0.9422\”}”},{“value”:”{\”value\”:\”-0.9041\”}”},{“value”:”{\”value\”:\”-0.8569\”}”},{“value”:”{\”value\”:\”-0.8011\”}”},{“value”:”{\”value\”:\”-0.7374\”}”},{“value”:”{\”value\”:\”-0.6663\”}”},{“value”:”{\”value\”:\”-0.5885\”}”},{“value”:”{\”value\”:\”-0.5048\”}”}]] 2 matrix ftaylor 1×101 1 101 double -11.5000 -11.0050 -10.5200 -10.0450 -9.5800 -9.1250 -8.6800 -8.2450 -7.8200 -7.4050 -7.0000 -6.6050 -6.2200 -5.8450 -5.4800 -5.1250 -4.7800 -4.4450 -4.1200 -3.8050 -3.5000 -3.2050 -2.9200 -2.6450 -2.3800 -2.1250 -1.8800 -1.6450 -1.4200 -1.2050 -1.0000 -0.8050 -0.6200 -0.4450 -0.2800 -0.1250 0.0200 0.1550 0.2800 0.3950 0.5000 0.5950 0.6800 0.7550 0.8200 0.8750 0.9200 0.9550 0.9800 0.9950
double double [[{“value”:”{\”value\”:\”-11.5000\”}”},{“value”:”{\”value\”:\”-11.0050\”}”},{“value”:”{\”value\”:\”-10.5200\”}”},{“value”:”{\”value\”:\”-10.0450\”}”},{“value”:”{\”value\”:\”-9.5800\”}”},{“value”:”{\”value\”:\”-9.1250\”}”},{“value”:”{\”value\”:\”-8.6800\”}”},{“value”:”{\”value\”:\”-8.2450\”}”},{“value”:”{\”value\”:\”-7.8200\”}”},{“value”:”{\”value\”:\”-7.4050\”}”},{“value”:”{\”value\”:\”-7.0000\”}”},{“value”:”{\”value\”:\”-6.6050\”}”},{“value”:”{\”value\”:\”-6.2200\”}”},{“value”:”{\”value\”:\”-5.8450\”}”},{“value”:”{\”value\”:\”-5.4800\”}”},{“value”:”{\”value\”:\”-5.1250\”}”},{“value”:”{\”value\”:\”-4.7800\”}”},{“value”:”{\”value\”:\”-4.4450\”}”},{“value”:”{\”value\”:\”-4.1200\”}”},{“value”:”{\”value\”:\”-3.8050\”}”},{“value”:”{\”value\”:\”-3.5000\”}”},{“value”:”{\”value\”:\”-3.2050\”}”},{“value”:”{\”value\”:\”-2.9200\”}”},{“value”:”{\”value\”:\”-2.6450\”}”},{“value”:”{\”value\”:\”-2.3800\”}”},{“value”:”{\”value\”:\”-2.1250\”}”},{“value”:”{\”value\”:\”-1.8800\”}”},{“value”:”{\”value\”:\”-1.6450\”}”},{“value”:”{\”value\”:\”-1.4200\”}”},{“value”:”{\”value\”:\”-1.2050\”}”}]] 4 figure 73819c31-2af4-4ab8-91ef-6704f68b033f 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 560 420 3 4 5 6 7 3 7 8 9 10 11 true true 0 24 24 0 true false 1 27 27 1 false true 2 31 31 2 true false 3 37 37 3 false false 4 38 38 3 false false 5 39 39 3 false false 6 41 41 3 false true 7 42 42 3

2020-07-19T10:18:07Z 2021-02-15T00:39:53Z

application/vnd.mathworks.matlab.code MATLAB Code R2020b

9.9.0.1444674 78fc15a4-24c2-4541-bf21-4d0c3864a277

9.9.0.1538559
R2020b
Update 3
Nov 23 2020
869446053