please write a c++ using namespace std and show the output

Note (4 points). All the following curves must be graphed in the time window of [013] (sec) by using N=2000 data points. Question \#l-(a) (3 points), Write a code and generate the following three figures. Copy/paste the code here (no photo or screenshot): Question \#l-(b)_(1 point), Plot the signalX(t)=sin(t)+sin(2t). Copy/paste the plot here (no photo or screenshot): Question\#1-(c)_(1 point), Plot the signal Xd(t), which is the numerical differentiation of X(t). Copy/paste the plot here (no photo or screenshot): Question \#1-(d) (1 point)s Plot the signal Xi(t), which is the numerical integration of X(t), with the initial value Xi(0)=1. Copy/paste the plot here (no photo or screenshot): Question $2-(a) (3 points), Write a code and generate the following three figures. Code here: Copy/paste the code here (no photo or screenshot): Question \#2-(b) (1 point), Plot the signal Y(t)=X(t)+ noise, where the noise amplitude is 0.2 . Copy/paste the plot here (no photo or screenshot): Question \#2-(c) (1 point), Plot the signal Yd(t), which is the numeral differentiation of Y(t). Copy/paste the plot here (no photo or screenshot): Question \#2-(d) (1 point), Plot the signal Yi(t), which is the numerical integration of Y(t), with the initial value Yi(0)=1. Copy/paste the plot here (no photo or screenshot): Question $3 (2 points), Compare the graphs of Xd(t) and Yd(t) in Q1.2 and Q2.2, respectively, and explain how noise impacts the differentiation operator. Type the explanation in here (no photo or handwriting): Question \#4 (2 points), Compare the graphs of Xi(t) and Yi(t) in Q1.3 and Q2.3, respectively, and explain how noise impacts the integration operator. Type the explanation in here (no photo or handwriting)