CS计算机代考程序代写 matlab [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

$\mathit{f}\left(\mathit{x}\right)=\cos \left(\mathit{x}\right)$

Plotting Taylor Series This livescript shows you how you can use MATLAB to plot a Taylor series of . xe^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)=0 f'(x_0)=f'(0)=\left.\frac{df}{dx}\right|_{x=0}=e^x(x+1)=1 f”(x_0)=f”(0)=\left.\frac{d^2f}{dx^2}\right|_{x=0}=2 \vdots Substituting into the Taylor series will give you f_{taylor}(x)=x+x^2+\frac{1}{2!}x^3-\frac{1}{3!}x^4+….. We will now plot the Taylor series for f\left(x\right)=\cos \left(x\right)\; for -5\leq x\leq 5 . Define a vector from -5\leq x \leq 5 . x=-1:0.1:1 Define the true function, f_{real}(x)=\cos(x) freal=x.*exp(x) Define the Taylor series of xe^x , f_{taylor}(x)=x+x^2+\frac{1}{2!}x^3+\frac{1}{3!}x^4+….. ftaylor=x
ftaylor=x+x.^2
ftaylor=x+x.^2+(1./2.)*x.^3
ftaylor=x+x.^2+(1./2.)*x.^3+(1./6).*x.^4 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([-1,1]) 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 0.5402080442602233 matrix x 1×21 1 21 double -1.0000 -0.9000 -0.8000 -0.7000 -0.6000 -0.5000 -0.4000 -0.3000 -0.2000 -0.1000 0 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.0000
double double [[{“value”:”{\”value\”:\”-1.0000\”}”},{“value”:”{\”value\”:\”-0.9000\”}”},{“value”:”{\”value\”:\”-0.8000\”}”},{“value”:”{\”value\”:\”-0.7000\”}”},{“value”:”{\”value\”:\”-0.6000\”}”},{“value”:”{\”value\”:\”-0.5000\”}”},{“value”:”{\”value\”:\”-0.4000\”}”},{“value”:”{\”value\”:\”-0.3000\”}”},{“value”:”{\”value\”:\”-0.2000\”}”},{“value”:”{\”value\”:\”-0.1000\”}”},{“value”:”{\”value\”:\”0\”}”},{“value”:”{\”value\”:\”0.1000\”}”},{“value”:”{\”value\”:\”0.2000\”}”},{“value”:”{\”value\”:\”0.3000\”}”},{“value”:”{\”value\”:\”0.4000\”}”},{“value”:”{\”value\”:\”0.5000\”}”},{“value”:”{\”value\”:\”0.6000\”}”},{“value”:”{\”value\”:\”0.7000\”}”},{“value”:”{\”value\”:\”0.8000\”}”},{“value”:”{\”value\”:\”0.9000\”}”},{“value”:”{\”value\”:\”1.0000\”}”}]] 1 matrix freal 1×21 1 21 double -0.3679 -0.3659 -0.3595 -0.3476 -0.3293 -0.3033 -0.2681 -0.2222 -0.1637 -0.0905 0 0.1105 0.2443 0.4050 0.5967 0.8244 1.0933 1.4096 1.7804 2.2136 2.7183
double double [[{“value”:”{\”value\”:\”-0.3679\”}”},{“value”:”{\”value\”:\”-0.3659\”}”},{“value”:”{\”value\”:\”-0.3595\”}”},{“value”:”{\”value\”:\”-0.3476\”}”},{“value”:”{\”value\”:\”-0.3293\”}”},{“value”:”{\”value\”:\”-0.3033\”}”},{“value”:”{\”value\”:\”-0.2681\”}”},{“value”:”{\”value\”:\”-0.2222\”}”},{“value”:”{\”value\”:\”-0.1637\”}”},{“value”:”{\”value\”:\”-0.0905\”}”},{“value”:”{\”value\”:\”0\”}”},{“value”:”{\”value\”:\”0.1105\”}”},{“value”:”{\”value\”:\”0.2443\”}”},{“value”:”{\”value\”:\”0.4050\”}”},{“value”:”{\”value\”:\”0.5967\”}”},{“value”:”{\”value\”:\”0.8244\”}”},{“value”:”{\”value\”:\”1.0933\”}”},{“value”:”{\”value\”:\”1.4096\”}”},{“value”:”{\”value\”:\”1.7804\”}”},{“value”:”{\”value\”:\”2.2136\”}”},{“value”:”{\”value\”:\”2.7183\”}”}]] 2 matrix ftaylor 1×21 1 21 double -1.0000 -0.9000 -0.8000 -0.7000 -0.6000 -0.5000 -0.4000 -0.3000 -0.2000 -0.1000 0 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.0000
double double [[{“value”:”{\”value\”:\”-1.0000\”}”},{“value”:”{\”value\”:\”-0.9000\”}”},{“value”:”{\”value\”:\”-0.8000\”}”},{“value”:”{\”value\”:\”-0.7000\”}”},{“value”:”{\”value\”:\”-0.6000\”}”},{“value”:”{\”value\”:\”-0.5000\”}”},{“value”:”{\”value\”:\”-0.4000\”}”},{“value”:”{\”value\”:\”-0.3000\”}”},{“value”:”{\”value\”:\”-0.2000\”}”},{“value”:”{\”value\”:\”-0.1000\”}”},{“value”:”{\”value\”:\”0\”}”},{“value”:”{\”value\”:\”0.1000\”}”},{“value”:”{\”value\”:\”0.2000\”}”},{“value”:”{\”value\”:\”0.3000\”}”},{“value”:”{\”value\”:\”0.4000\”}”},{“value”:”{\”value\”:\”0.5000\”}”},{“value”:”{\”value\”:\”0.6000\”}”},{“value”:”{\”value\”:\”0.7000\”}”},{“value”:”{\”value\”:\”0.8000\”}”},{“value”:”{\”value\”:\”0.9000\”}”},{“value”:”{\”value\”:\”1.0000\”}”}]] 3 matrix ftaylor 1×21 1 21 double 0 -0.0900 -0.1600 -0.2100 -0.2400 -0.2500 -0.2400 -0.2100 -0.1600 -0.0900 0 0.1100 0.2400 0.3900 0.5600 0.7500 0.9600 1.1900 1.4400 1.7100 2.0000
double double [[{“value”:”{\”value\”:\”0\”}”},{“value”:”{\”value\”:\”-0.0900\”}”},{“value”:”{\”value\”:\”-0.1600\”}”},{“value”:”{\”value\”:\”-0.2100\”}”},{“value”:”{\”value\”:\”-0.2400\”}”},{“value”:”{\”value\”:\”-0.2500\”}”},{“value”:”{\”value\”:\”-0.2400\”}”},{“value”:”{\”value\”:\”-0.2100\”}”},{“value”:”{\”value\”:\”-0.1600\”}”},{“value”:”{\”value\”:\”-0.0900\”}”},{“value”:”{\”value\”:\”0\”}”},{“value”:”{\”value\”:\”0.1100\”}”},{“value”:”{\”value\”:\”0.2400\”}”},{“value”:”{\”value\”:\”0.3900\”}”},{“value”:”{\”value\”:\”0.5600\”}”},{“value”:”{\”value\”:\”0.7500\”}”},{“value”:”{\”value\”:\”0.9600\”}”},{“value”:”{\”value\”:\”1.1900\”}”},{“value”:”{\”value\”:\”1.4400\”}”},{“value”:”{\”value\”:\”1.7100\”}”},{“value”:”{\”value\”:\”2.0000\”}”}]] 4 matrix ftaylor 1×21 1 21 double -0.5000 -0.4545 -0.4160 -0.3815 -0.3480 -0.3125 -0.2720 -0.2235 -0.1640 -0.0905 0 0.1105 0.2440 0.4035 0.5920 0.8125 1.0680 1.3615 1.6960 2.0745 2.5000
double double [[{“value”:”{\”value\”:\”-0.5000\”}”},{“value”:”{\”value\”:\”-0.4545\”}”},{“value”:”{\”value\”:\”-0.4160\”}”},{“value”:”{\”value\”:\”-0.3815\”}”},{“value”:”{\”value\”:\”-0.3480\”}”},{“value”:”{\”value\”:\”-0.3125\”}”},{“value”:”{\”value\”:\”-0.2720\”}”},{“value”:”{\”value\”:\”-0.2235\”}”},{“value”:”{\”value\”:\”-0.1640\”}”},{“value”:”{\”value\”:\”-0.0905\”}”},{“value”:”{\”value\”:\”0\”}”},{“value”:”{\”value\”:\”0.1105\”}”},{“value”:”{\”value\”:\”0.2440\”}”},{“value”:”{\”value\”:\”0.4035\”}”},{“value”:”{\”value\”:\”0.5920\”}”},{“value”:”{\”value\”:\”0.8125\”}”},{“value”:”{\”value\”:\”1.0680\”}”},{“value”:”{\”value\”:\”1.3615\”}”},{“value”:”{\”value\”:\”1.6960\”}”},{“value”:”{\”value\”:\”2.0745\”}”},{“value”:”{\”value\”:\”2.5000\”}”}]] 5 matrix ftaylor 1×21 1 21 double -0.3333 -0.3452 -0.3477 -0.3415 -0.3264 -0.3021 -0.2677 -0.2221 -0.1637 -0.0905 0 0.1105 0.2443 0.4048 0.5963 0.8229 1.0896 1.4015 1.7643 2.1839 2.6667
double double [[{“value”:”{\”value\”:\”-0.3333\”}”},{“value”:”{\”value\”:\”-0.3452\”}”},{“value”:”{\”value\”:\”-0.3477\”}”},{“value”:”{\”value\”:\”-0.3415\”}”},{“value”:”{\”value\”:\”-0.3264\”}”},{“value”:”{\”value\”:\”-0.3021\”}”},{“value”:”{\”value\”:\”-0.2677\”}”},{“value”:”{\”value\”:\”-0.2221\”}”},{“value”:”{\”value\”:\”-0.1637\”}”},{“value”:”{\”value\”:\”-0.0905\”}”},{“value”:”{\”value\”:\”0\”}”},{“value”:”{\”value\”:\”0.1105\”}”},{“value”:”{\”value\”:\”0.2443\”}”},{“value”:”{\”value\”:\”0.4048\”}”},{“value”:”{\”value\”:\”0.5963\”}”},{“value”:”{\”value\”:\”0.8229\”}”},{“value”:”{\”value\”:\”1.0896\”}”},{“value”:”{\”value\”:\”1.4015\”}”},{“value”:”{\”value\”:\”1.7643\”}”},{“value”:”{\”value\”:\”2.1839\”}”},{“value”:”{\”value\”:\”2.6667\”}”}]] 6 figure 10f7e2fc-41c7-4012-9686-0c41772286a8 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×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 560 420 6 7 8 9 10 6 7 8 9 10 11 true true 0 23 23 0 true false 1 26 26 1 false false 2 29 29 2 false false 3 30 30 3 false false 4 31 31 4 false true 5 32 32 5 true false 6 36 36 6 false false 7 37 37 6 false false 8 38 38 6 false false 9 40 40 6 false true 10 41 41 6

2021-02-24T23:58:21Z 2021-02-25T00:12:56Z

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

9.9.0.1444674 48a74e75-bfd2-473a-825b-76b459d8ffae

9.9.0.1538559
R2020b
Update 3
Nov 23 2020
869446053