Chapter 4: Programming in Matlab - College of the Redwoods

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$Math 50A February 18, 2011 Quiz #10 Name: David Arnold ...$

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352 Chapter 4 Programming in Matlab 27. Write a function called mymax that will take a column vector of numbers as input and find the largest entry. The routine should spit out two numbers, the largest entry m and its position k in the vector. Test the speed of your routine with the following commands. in=rand(1000000,1); >> tic, [m,k]=mymax(in); toc Compare the speed of your maximum routine with Matlab’s. >> tic, [m,k]=max(in); toc 28. Write a function called mymin that will take a column vector of numbers as input and find the smallest entry. The routine should spit out two numbers, the smallest entry m and its position k in the vector. Test the speed of your routine with the following commands. in=rand(10000,1); >> tic, [m,k]=mymin(in); toc Compare the speed of your maximum routine with Matlab’s. >> tic, [m,k]=min(in); toc 29. According to Wikipedia, the solutions to the cubic equation ax 3 + bx 2 + cx + d = 0 are found as follows. First, compute and q = 3ac − b2 9a 2 r = 9abc − 27a2 d − 2b 3 54a 3 . Next, compute and s = 3 √r + √ q 3 + r 2 t = 3 √r − √ q 3 + r 2 . The solutions are, first, then and x 2 = − s + t 2 x 3 = − s + t 2 x 1 = s + t − b 3a , − b √ 3 3a + (s − t)i, 2 − b √ 3 3a − (s − t)i, 2 where i = √ −1. Write a function to compute the roots of the cubic equation. The first line should read as follows. function [x1,x2,x3]=cardano(a,b,c,d) Set up a test to verify that your implementation of the solution of the cubic equation is working correctly.
Section 4.3 Functions in Matlab 353 4.3 Answers 1. >> f=@(x) x^2-3*x-4; >> f(1) ans = -6 3. >> f=@(t) exp(-0.25*t)*(2*cos(t)-sin(t)); >> f(1) ans = 0.1862 5. >> h=@(u,v) cos(u)*cos(v); >> h(1,2) ans = -0.2248 7. The function M-file: function y=f(x) y=x^2-3*x-4; Calling the function from the command line.
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4 Programming In Matlab In this cha
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Section 4.1 Logical Arrays 261 4.1
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Section 4.1 Logical Arrays 263 >> A
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Section 4.1 Logical Arrays 265 >> u
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Section 4.1 Logical Arrays 267 A nu
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Section 4.1 Logical Arrays 269 Seem
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Section 4.1 Logical Arrays 271 >> k
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Section 4.1 Logical Arrays 275 >> x
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Section 4.1 Logical Arrays 277 >> m
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Section 4.1 Logical Arrays 283 That
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Section 4.1 Logical Arrays 287 prim
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Section 4.1 Logical Arrays 291 x=li
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Section 4.1 Logical Arrays 293 29.
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Section 4.1 Logical Arrays 295 Elim
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Section 4.1 Logical Arrays 297 Draw
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Section 4.2 Control Structures in M
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Chapter 4: Programming in Matlab - College of the Redwoods

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