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matlab exam 2 prep - matlab exam 2 prep.oo3 Topic functions...

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matlab exam 2 prep.oo3 Topic functions and files 1 141-162 3.1 elementary mathematical functions lookfor ex. lookfor imaginary to get a list of functions that deal with imaginary numbers exponential and logarithmic functions exponential exp(x) exponential; e^x sqrt(x) square root; x^(1/2) logarithmic log(x) natural logarithm; ln(x) log10(x) common (base 10) logarithm; log x = log[10] x complex abs(x) absolute value; x angle(x) angle of a complex number x conj(x) complex conjugate imag(x) imaginary part of a complex number x real(x) real part of a complex number x numeric ceil(x) round to the nearest integer toward fix(x) round to the nearest integer toward 0 floor(x) round to the nearest integer towards - sign(x) signum function (+1 if x > 0; 0 if x = 0; -1 if x <0) complex number functions numeric functions trigonometric functions trigonometric cos(x) cot(x) csc(x) sec(x) sin(x) tan(x) inverse trigonometric acos(x)
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Topic acot(x) acsc(x) asec(x) asin(x) atan(x) atan2(x,y) four quadrant inverse tangent hyperbolic functions cosh x = (e^x + e^-x) / 2 sinh x = (e^x - e^-x) / 2 sinh^-1 = ln(x + (x^2 + 1)^(1/2)) hyperbolic cosh(x) coth(x) csch(x) sech(x) sinh(x) tanh(x) inverse hyperbolic acosh(x) acoth(x) acsch(x) asech(x) asinh(x) atanh(x) 3.2 user-defined functions function [output variables] = function_name(input variables) function definition line variants function [area_square] = square(side); square.m function area_square = square(side); square.m function [volume_box] = box(height, width, length); box.m function [area_circle, circumf] = circle(radius); circle.m function sqplot(side); sqplot.m variations in function calls function arguments local variables global variables applications finding the zeroes of a function
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Topic minimizing a function of one variable minimizing a function of several variables design optimization problems 4, 6, 9, 12, 14, 16 (178-180) 4 for several values of x, use matlab to confirm that sinh x = (e^x-e^-x)/2 6 the capacitance of two paralell conductors of length L and radius r, separated by a distance d in the air, is given by C = ( π (permittivity)L)/ln((d-r)/r) permittivity = 8.854*10^-12 F/m write a script file that accepts user input for d, l, and r, and computes and displays C. test the file with the values L=1m, r=0.001m, and d=0.004m 9 write a function that accepts input in degrees F and computes the corresponding values in degrees C the relation between the two is CºT = (5/9)(TºF-32) 12 a fence around a field is shaped as shown in figure p12 (p179). it
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