Day 2 - Math Syntax

HMWK: Matlab code. #2
Day 2:
This day we got familiar with matlab math writing. Using the syntax of matlab. Some operations make sense if real world but not in matlab world.

Here is a picture of matlab code running.

We then example with PV = nRT. Here is a picture.

We then did an example unit conversion from the mars rover. Here is a picture.

Conclusion:
We learned how to type our understanding of math equations into the matlab syntax. We did tried relating it to the PV = nRT equations and do some unit conversions into SI units.

%HMWK 2
x = [-2:1:2]%vector x -2to2 by 1
abs(x)  %absolute of x
sqrt(x) %square root of x
%#2
x1=[-3,3] %vector x2 -3,3
sqrt(x1)   %square rot of x1
nthroot(x1,2) %nth root
x1.^(.5)    %x1^(.5) power
%#3
x3 = [-9:3:12] %vector x3 -9to12 by 3
x3/2    %vector/2
rem(x3,2) %vector rem of 2
exp(x3) %vector exp
sign(x3)    %sign for vector
%#4
factor(322) %factor
gcd(322,6)  %greatest common denometer
isprime(322)    %cheks if # is prime
primes(322) %numbers of prime up to 322
factorial(10)   %10!
nchoosek(20,3)  %Max # groups of 3 from 20-nomatter
%#5 P= Pnot*e^(rt)
pnot = 100 %intial pop
r = (9/10)  %growth rate in fraction
t=10    %time in year
p = pnot*exp(r*t) %pop formula
pnot = input('intial pop \n')   %input pop intial
r = input('growth rate in fraction \n') %input growth
t = input ('time in year \n')   %input year
p=pnot*exp(r*t) %output for pop
%#6
bulb = 20*100   %J/s
app = 4*500     %J/s
out = 3000      %J/s
a1 = bulb*app*out %energy remove J/s
air = 2000 %aircond remove J/s
temp1 = a1/air  %number of air needed for constant temp
bulb2 = 20*18   %new J/s for bulb at 18
a2 = bulb2*app*out %energy remove J/s
temp2 = a2/air  %aircond remove J/s
bulb3 = input('# of bulbs \n')*100 %input for bulbs
app3 = input('# of appliances \n')*500 %input for apps
air3 = bulb3*app3/air %number of airconditoner needed
%#6 n!/(n-m)!
nchoosek(4,1)   %line of 4
nchoosek(28,7)  %differnt robo team -notmatter
factorial(28)/(factorial(28-7)) %differnt robo team - matter
nchoosek(52,5)  %diff hands of 5
4/(nchoosek(52,5))   %chance of royal fush
******************ANS********************

x =

    -2    -1     0     1     2

ans =

     2     1     0     1     2

ans =

   0.0000 + 1.4142i   0.0000 + 1.0000i   0.0000 + 0.0000i   1.0000 + 0.0000i   1.4142 + 0.0000i

sqrt(x1)   %square rot of x1

nthroot(x1,2) %nth root

x1.^(.5)

Undefined function or variable 'x1'.

x1=[-3,3] %vector x2 -3,3

sqrt(x1)   %square rot of x1

nthroot(x1,2) %nth root

x1.^(.5)

x1 =

    -3     3

ans =

   0.0000 + 1.7321i   1.7321 + 0.0000i

Error using nthroot (line 31)

If X is negative, N must be an odd integer.
x3 = [-9:3:12] %vector x3 -9to12 by 3

x3/2    %vector/2

rem(x3,2) %vector rem of 2

exp(x3) %vector exp

sign(x3)    %sign for vector

%#4

factor(322) %factor

gcd(322,6)  %greatest common denometer

isprime(322)    %cheks if # is prime

primes(322) %numbers of prime up to 322

factorial(10)   %10!

nchoosek(20,3)  %Max # groups of 3 from 20-nomatter

%#5 P= Pnot*e^(rt)

pnot = 100 %intial pop

r = (9/10)  %growth rate in fraction

t=10    %time in year

p = pnot*exp(r*t) %pop formula

pnot = input('intial pop \n')   %input pop intial

r = input('growth rate in fraction \n') %input growth

t = input ('time in year \n')   %input year

p=pnot*exp(r*t) %output for pop

%#6

bulb = 20*100   %J/s

app = 4*500     %J/s

out = 3000      %J/s

a1 = bulb+app+out %energy remove J/s

air = 2000 %aircond remove J/s

temp1 = round(a1/air)  %number of air needed for constant temp

bulb2 = 20*18   %new J/s for bulb at 18

a2 = bulb2+app+out %energy remove J/s

temp2 = round(a2/air)  %aircond remove J/s

bulb3 = input('# of bulbs \n')*100 %input for bulbs

app3 = input('# of appliances \n')*500 %input for apps

air3 = round((bulb3+app3)/air) %number of airconditoner needed

%#6 n!/(n-m)!

nchoosek(4,1)   %line of 4

nchoosek(28,7)  %differnt robo team -notmatter

factorial(28)/(factorial(28-7)) %differnt robo team - matter

nchoosek(52,5)  %diff hands of 5

4/(nchoosek(52,5))   %chance of royal fush

x3 =

    -9    -6    -3     0     3     6     9    12

ans =

   -4.5000   -3.0000   -1.5000         0    1.5000    3.0000    4.5000    6.0000

ans =

    -1     0    -1     0     1     0     1     0

ans =

   1.0e+05 *

    0.0000    0.0000    0.0000    0.0000    0.0002    0.0040    0.0810    1.6275

ans =

    -1    -1    -1     0     1     1     1     1

ans =

     2     7    23

ans =

     2

ans =

     0

ans =

  Columns 1 through 20

     2     3     5     7    11    13    17    19    23    29    31    37    41    43    47    53    59    61    67    71

  Columns 21 through 40

    73    79    83    89    97   101   103   107   109   113   127   131   137   139   149   151   157   163   167   173

  Columns 41 through 60

   179   181   191   193   197   199   211   223   227   229   233   239   241   251   257   263   269   271   277   281

  Columns 61 through 66

   283   293   307   311   313   317

ans =

     3628800

ans =

        1140

pnot =

   100

r =

    0.9000

t =

    10

p =

   8.1031e+05

intial pop

100

pnot =

   100

growth rate in fraction

.9

r =

    0.9000

time in year

10

t =

    10

p =

   8.1031e+05

bulb =

        2000

app =

        2000

out =

        3000

a1 =

        7000

air =

        2000

temp1 =

     4

bulb2 =

   360

a2 =

        5360

temp2 =

     3

# of bulbs

10

bulb3 =

        1000

# of appliances

8

app3 =

        4000

air3 =

     3

ans =

     4

ans =

     1184040

ans =

   5.9676e+09

ans =

     2598960                                                                                                   

ans =

   1.5391e-06