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Lista de problemas de conversão, Mathlab solutions cap. 1-11
Tipologia: Manuais, Projetos, Pesquisas
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Script file:
clear, clc disp('Part (a)') (22+5.1^2)/(50-6.3^2) disp('Part (b)') 44/7+8^2/5-99/3.9^
Command Window:
Part (a) ans =
Part (b) ans =
Script file:
clear, clc disp('Part (a)') sqrt(41^2-5.2^2)/(exp(5)-100.53) disp('Part (b)') %alternative: nthroot(132,3)+log(500)/ 132^(1/3)+log(500)/
Command Window:
Part (a) ans =
Part (b) ans =
Script file:
clear, clc disp('Part (a)') (14.8^3-6.3^2)/(sqrt(13)+5)^ disp('Part (b)') 45(288/9.3-4.6^2)-1065exp(-1.5)
Command Window:
Part (a) ans =
Part (b) ans =
Script file:
clear, clc disp('Part (a)') (24.5+64/3.5^2+8.3*12.5^3)/(sqrt(76.4)-28/15) disp('Part (b)') (5.9^2-2.4^2)/3+(log10(12890)/exp(0.3))^
Command Window:
Part (a) ans = 2.3626e+ Part (b) ans =
Script file:
clear, clc disp('Part (a)') %alternative: sin(15pi/180) instead of sind(15) cos(7pi/9)+tan(7pi/15)sind(15) disp('Part (b)') %alternatives: could use nthroot(0.18,3), could convert to radians %and use regular trig functions sind(80)^2-(cosd(14)*sind(80))^2/(0.18)^(1/3)
Script file:
clear, clc x=5.1; y=4.2; disp('Part (a)') 3/4xy-7x/y^2+sqrt(xy) disp('Part (b)') (xy)^2-(x+y)/(x-y)^2 +sqrt((x+y)/(2x-y))
Command Window:
Part (a) ans =
Part (b) ans =
Script file:
clear, clc a=12; b=5.6; c=3a/b^2; d=(a-b)^c/c; disp('Part (a)') a/b+(d-c)/(d+c)-(d-b)^ disp('Part (b)') exp((d-c)/(a-2b))+log(abs(c-d+b/a))
Command Window:
Part (a) ans = -0. Part (b) ans = 2.2925e+
Script file:
clear, clc r=24; disp('Part (a)') %need to solve (a)(a/2)(a/4)=4/3 pi r^ %could also use ^(1/3) a=nthroot(84/3pir^3,3) disp('Part (b)') %need to solve 2(a^2/2+a^2/4+a^2/8)=4 pi r^ a=sqrt(8/74pir^2) disp(' ') disp('Problem 11') a=11; b=9; %could be one long expression s=sqrt(b^2+16a^2); Labc = s/2 + b^2/(8a)log((4a+s)/b)
Command Window:
Part (a) a =
Part (b) a =
Script file:
clear, clc a=11; b=9; %could be one long expression s=sqrt(b^2+16a^2); Labc = s/2 + b^2/(8a)log((4a+s)/b)
Command Window:
Labc =
Part (b) LHS = -0. RHS = -0.
Script file:
clear, clc alpha=pi/6; beta=3pi/8; %compare LHS and RHS LHS = sin(alpha)+sin(beta) RHS = 2sin((alpha+beta)/2)*cos((alpha-beta)/2)
Command Window:
LHS =
RHS =
Script file:
clear, clc Integral=sin(a3pi/2)/a^2 - 3pi/2cos(a3pi/2)/a - ... sin(api/3)/a^2 + pi/3cos(a*pi/3)/a
Command Window:
Integral =
Script file:
clear, clc a=5.3; gamma=42; b=6; disp('Part (a)') c=sqrt(a^2+b^2-2abcosd(gamma)) disp('Part (b)') alpha = asind(asind(gamma)/c) beta = asind(b*sind(gamma)/c) disp('Part (c)') Total = alpha+beta+gamma
Command Window:
Part (a) c =
Part (b) alpha =
beta =
Part (c) Total = 180.
Script file:
clear, clc a=5; b=7; gamma=25; disp('Part (a)') c=sqrt(a^2+b^2-2abcosd(gamma)) disp('Part (b)') alpha = asind(asind(gamma)/c) %note that beta is over 90 deg and asind will give 1st quadrant beta = 180 - asind(b*sind(gamma)/c) disp('Part (c)') %compare LHS with RHS LHS=(a-b)/(a+b) RHS=tand((alpha-beta)/2)/tand((alpha+beta)/2)
Command Window:
Part (a) c =
Part (b) alpha =
beta =
Part (c) LHS = -0. RHS = -0.
Script file:
clear, clc a=16; b=11; C=pi(3(a+b)-sqrt((3a+b)(a+3*b)))
Command Window:
C =
Script file:
clear, clc %alternate 37-rem(315,37) empty=37*ceil(315/37)-
Command Window:
empty = 18
Script file:
clear, clc %alternate rem(739,54) unpacked=739-54*fix(739/54)
Command Window:
unpacked = 37
Script file:
clear, clc format long g variable=316501.673; %note basic matlab only has round function to nearest integer %symbolic math toolbox has round function that allows rounding to %specified digit, i.e round(variable,2) will round to 2nd digit after %the decimal point, round(variable,-3) will round to the thousands digit. disp('Part (a)') round(100variable)/ disp('Part (b)') round(variable/1000)
Command Window:
Part (a) ans =
Part (b) ans = 317000
Script file:
clear, clc V=14; R1=120.6; R2=119.3; R3=121.2; R4=118.8; Vab=V(R1R3-R2R4)/((R1+R3)(R3+R4))
Command Window:
Vab =
Script file:
clear, clc L=0.15; R=14; C=2.6e-6; f=1/(2pi)sqrt(1/(L*C)-(R/L)^2)
Command Window:
f =
Command Window:
Req =
Script file:
clear, clc V0=36; R=2500; C=160010^-6; t=8; VC=V0(1-exp(-t/(R*C))); I=VC/R
Command Window:
I =
Script file:
clear, clc k=log(0.5)/5730; Age=round(log(.7745)/k)
Command Window:
Age = 2112
Script file:
clear, clc disp('Part (a)') gcd(91,147) disp('Part (b)') gcd(555,962)
Command Window:
Part (a) ans = 7 Part (b) ans = 37
Script file:
clear, clc ratio=10^(3(9.5+10.7)/2)/10^(3(8.7+10.7)/2)
Command Window:
ratio =
Script file:
clear, clc L=2; v=5000; c=30010^6; delta=L(1-sqrt(1-v^2/c^2))
Command Window:
delta = 2.7778e-
Script file:
clear, clc format bank %an interest rate of 10% is assumed P=80000; n=5; r=.1; bonus=P(1+ r/365)^(365n) - P*(1+ r)^n
Command Window:
bonus =
Part (b) bigt_minutes =
Script file:
clear, clc format rat disp('Part (a)') 5/8+16/ disp('Part (b)') 1/3-11/13+2.7^
Command Window:
Part (a) ans = 79/ Part (b) ans = 1247/
Script file:
clear, clc factorial_20=sqrt(2pi20)*(20/exp(1))^ error=(factorial(20)-factorial_20)/factorial(20)
Command Window:
factorial_20 = 2.4228e+ error =
Script file:
clear, clc row=[8 10/4 12*1.4 51 tand(85) sqrt(26) 0.15]
Command Window:
row = 8.0000 2.5000 16.8000 51.0000 11.4301 5.0990 0.
Script file:
clear, clc row=[sqrt(15)*10^3, 25/(14-6^2), log(35)/0.4^3, sind(65)/cosd(80), ... 129, cos(pi/20)^2]
Command Window:
row = 1.0e+03 * 3.8730 -0.0011 0.0556 0.0052 0.1290 0.
Script file:
clear, clc col=[25.5; 14*tand(58)/(2.1^2+11); factorial(6); 2.7^4; 0.0375; pi/5]
Command Window:
col =
Script file:
clear, clc row=1:6:
Command Window:
row = 1 7 13 19 25 31 37 43
Script file:
clear, clc %alternative row = 96:-9.4: row=linspace(96,2,11)
Command Window:
row = 96.0000 86.6000 77.2000 67.8000 58.4000 49.0000 39. 30.2000 20.8000 11.4000 2.
Script file:
clear, clc %square brackets needed, else ' only applied to - col = [26:-3.6:-10]'
Command Window:
col =
-2. -6. -10.
Script file:
clear, clc %alternative col = [-34:27/8:-7]' %for alternative square brackets needed, else ' only applied to - col=linspace(-34,-7,9)'
Command Window:
col = -34. -30. -27. -23. -20. -17. -13. -10. -7.
Script file:
clear, clc Fives(1:5)=
Command Window:
Fives = 5 5 5 5 5
Script file:
clear, clc Nines=linspace(9,9,9)
Command Window:
Nines = 9 9 9 9 9 9 9 9 9
