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Find the equation of the Tangent Line and Normal Line of the given equation at the given point. Graph the function a • f(x) = 2x²-3x² - 2x+5 Script 1% This program computes for the Tangent Line / Normal Line of a curve % about a given point %define x for symbolic processing 2 3 4 %IDENTIFY the function f(x) 5 f(x) = 2*x^3-3*x^2-2*x+5 7%DETERMINE the point of tangency (This will be a random point) 8 x0=randi ([-5,5]) 9 %SOLVE for the Ordinate of the point of tangency 10 y0=f(x0); %Evaluate y given value fo x 11 y= 2*x^3-3*x^2-2*x` 12 %FIND the slope function 13 yprime 6*(-5)^2-6*(-5)-2 14 15 %Determine the slope at the given xo 16 m 190 %Evaluate the slope 17 18 %Solve the equation of the tangent line 19 ytangent= 20 21 %Solve the Equation of the normal line 22 ynormal = 23 24 %DISPLAYING RESULTS 25 fprintf('The tangent line to f(x)=%s at (%.2f, %.2f) is y = %s\n', string (f(x)), x0, yo, string(ytam 26 fprintf('The normal line to f(x)=%s at (%.2f, %.2f) is y = %s \n', string(f(x)), x0, yo, string(ynorm 27 28 %PLOTTING 29 %Solve for the first derivative g1=ezplot(f.[-15.15]);

Find the equation of the Tangent Line and Normal Line of the given equation at the given point. Graph the function a • f(x) = 2x²-3x² - 2x+5 Script 1% This program computes for the Tangent Line / Normal Line of a curve % about a given point %define x for symbolic processing 2 3 4 %IDENTIFY the function f(x) 5 f(x) = 2*x^3-3*x^2-2*x+5 7%DETERMINE the point of tangency (This will be a random point) 8 x0=randi ([-5,5]) 9 %SOLVE for the Ordinate of the point of tangency 10 y0=f(x0); %Evaluate y given value fo x 11 y= 2*x^3-3*x^2-2*x` 12 %FIND the slope function 13 yprime 6*(-5)^2-6*(-5)-2 14 15 %Determine the slope at the given xo 16 m 190 %Evaluate the slope 17 18 %Solve the equation of the tangent line 19 ytangent= 20 21 %Solve the Equation of the normal line 22 ynormal = 23 24 %DISPLAYING RESULTS 25 fprintf('The tangent line to f(x)=%s at (%.2f, %.2f) is y = %s\n', string (f(x)), x0, yo, string(ytam 26 fprintf('The normal line to f(x)=%s at (%.2f, %.2f) is y = %s \n', string(f(x)), x0, yo, string(ynorm 27 28 %PLOTTING 29 %Solve for the first derivative g1=ezplot(f.[-15.15]);

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you please solve this using matlab codes. Thanks.

Find the equation of the Tangent Line and Normal Line of the given equation at the given point. Graph the function a ▪ f(x) = 2x³ - 3x2² - 2x+5 Script> 1 % This program computes for the Tangent Line / Normal Line of a curve % about a given point %define x for symbolic processing 2 3 4 %IDENTIFY the function f(x) 5 f(x) 2*x^3-3*x^2-2*x+5 6 7 %DETERMINE the point of tangency (This will be a random point) 8 x0=randi ([-5,5]) 9 %SOLVE for the Ordinate of the point of tangency 10 y0=f(x0); %Evaluate y given value fox 11 y= 2*x^3-3*x^2-2*x 12 %FIND the slope function 13 yprime = 6*(-5)^2-6*(-5)-2 14 15 %Determine the slope at the given xo 16 m= 190 %Evaluate the slope 17 18 %Solve the equation of the tangent line 19 ytangent= 20 21 %Solve the Equation of the normal line 22 ynormal = 23 D %Solve for the first derivative 28 %PLOTTING 29 g1-ezplot(f,[-15,151); 24 %DISPLAYING RESULTS 25 fprintf('The tangent line to f(x)=%s at (%.2f, %.2f) is y = %s\n', string (f(x)),x0,yo, string(ytar 26 fprintf('The normal line to f(x)=%s at (%.2f, %.2f) is y = %s \n',string(f(x)), x0, yo, string(ynorn 27
Transcribed Image Text:Find the equation of the Tangent Line and Normal Line of the given equation at the given point. Graph the function a ▪ f(x) = 2x³ - 3x2² - 2x+5 Script> 1 % This program computes for the Tangent Line / Normal Line of a curve % about a given point %define x for symbolic processing 2 3 4 %IDENTIFY the function f(x) 5 f(x) 2*x^3-3*x^2-2*x+5 6 7 %DETERMINE the point of tangency (This will be a random point) 8 x0=randi ([-5,5]) 9 %SOLVE for the Ordinate of the point of tangency 10 y0=f(x0); %Evaluate y given value fox 11 y= 2*x^3-3*x^2-2*x 12 %FIND the slope function 13 yprime = 6*(-5)^2-6*(-5)-2 14 15 %Determine the slope at the given xo 16 m= 190 %Evaluate the slope 17 18 %Solve the equation of the tangent line 19 ytangent= 20 21 %Solve the Equation of the normal line 22 ynormal = 23 D %Solve for the first derivative 28 %PLOTTING 29 g1-ezplot(f,[-15,151); 24 %DISPLAYING RESULTS 25 fprintf('The tangent line to f(x)=%s at (%.2f, %.2f) is y = %s\n', string (f(x)),x0,yo, string(ytar 26 fprintf('The normal line to f(x)=%s at (%.2f, %.2f) is y = %s \n',string(f(x)), x0, yo, string(ynorn 27
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I would like to ask why the output of  y_theta is unrecognized.

f(x) Error in solution (line 11) y_theta=double(f(x_theta)) Output х0 Commands Unrecognized function or variable 'x_theta'. 4 Error in solution (line 11) y_theta=double(f(x_theta)) 2*x^3 - 3*x^2 - 2*x + 5 Unrecognized function or variable 'x_theta Error in solution (line 11) y_theta=double(f(x_theta))
Transcribed Image Text:f(x) Error in solution (line 11) y_theta=double(f(x_theta)) Output х0 Commands Unrecognized function or variable 'x_theta'. 4 Error in solution (line 11) y_theta=double(f(x_theta)) 2*x^3 - 3*x^2 - 2*x + 5 Unrecognized function or variable 'x_theta Error in solution (line 11) y_theta=double(f(x_theta))
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