Problem 6 to 9

6. Implement the following equation in a function, value problem 6 (x,N) The product converges to cos(x) as N0. Prove this by plotting the product and the cosine on the same graph for at least 6 cycles of the sinusoid 7. Implement the following equations in a function, value problem_7 fa (M) and value-problem 7fb (N) . Both functions converge to sinc(x) as N Prove this by plotting the functions on a graph for at least 6 cycles of the sinex) sinusoid. Use separate plots if necessary. 8. Write a function to find the largest value of a vector and its index in the array Pass both the value and its index back out. Then create a vector of length 500 of random real-values from 0 to 10 to test the function. 9. Write a function y prob1em 9 (3x) to implement the following graph for a single value. Then create a vector of x-values from -10 to 10 with a sufficiently high resolution (-0.01) to graph and plot the y-values to test the function. 10.Create data vectors of uniform random values from a to b of length 10, 100, 1000, 10,000, 100,000 and 1,000,000 where a-10 and b-30. Calculate and display the mean and standard deviation of the data sets using the Matlab functions, mean ( . ) the std(-). For each data set, calculate the error from the