Question

solve the following problems using mathlab, step by step

Provide the script file to determine the sum of series y with the following definition at range -5 sxs 30 (increment resolution of 0.5) y = 15*sqrt(4*x) +10, X29 10*x+10, 0 <x<9 10, x<0

Answer 1

The MATLAB Code for the sum of series is as follows:

sumofseries. m x + x = -5:0.5:30; Defining X vector Declare three temp variables for three intervals ynewl = 0; ynew2 = 0; ynew3 = 0; for i=1:length(x) &Run a loop till the length of the x Vector Ε Ε Ε Ε Ε Ε во со ч ол во мнооо ч ол во месо со ч ол то он Ε Ε Ε Ε Ν Ν Ν Ν Ν Ν Ν Ν Ν Ν Α % Interval - x<0 y = 10; Definition of y in this interval if x(i) <0 &Condition to check the interval ynewl = y + ynewl; Everytime the condition is satisfied for x vector the temp variable of this inetrval is updated with series value and added to the previous sum end Interval - 0<=x<=9 y = 10*x(i) +10; Definition of y in this interval if O<=x (i) && x(i)<9 ynew2 = y + ynew2; end Interval - x>=9 y = 15*sqrt (4*x(i)) +10; if x(i) >=9 ynew3 = y + ynew3; end 28 - 29 - Lend

w w w on W NO w w w w Seach tem variable holds the sum of the series in that interval. All three Stemp variables are added to get the final sum over all the three intervals ynew = ynewl + ynew2 + ynew3; %Ynew gives the sum of the series over the range of x with given (0.5) &increament resolution. W

The output of the script is as follows:

##OUTPUT:

>> sumofseries
>> ynew

ynew =

7.0947e+03

Therefore sum of series is 7094.7

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