Write a MATLAB program for the following question:

1. The following formulas describe the lift(L) and drag (D) of an airfoil (ie. the shape of a wing or blade) L. 0.5pCLSV2 and D-0.5pCDSV2 (both in pounds). where V is the air speed in tsec, s is the wingspan in ft, is the air density at sea level (0.002378 slug/t3) and CL and CD are the lift and drag coefficients (respectively) which depend on the angle of attack, a in degrees are given by C.-4 47E-5a4 1 . 1 5E-3 2+6 66E-2a3+ 1.02E-1 Co = 5.75E-6 a3+5.09E-4 2+1.8E-4 3+ 1.25E-2 a. Assume that S-36ft and -10. Find the lift and drag for the velocity ranging from 0 to b. Plot L and D as a function of V. Use appropriate axis titles, etc 150 miles/hour. You will need to convert miles/hr to ft/sec Use a while-end loop to determine how many terms are required for the series summation given below to exceed 20,000. Output the number of terms, n, required to exceed 20,000 and what the sum is at that number of terms. 2. y-10k-4k +2 3. Plot the function y 10(1-e**) over the interval 0 sx S xmax, using a while loop to determine the value of xmax such that y(xmax) 9.8. Properly label the plot. The variable y represents force in newtons, and the variable x represents time in seconds. Write a MATLAB program that will display the numbers from a user specified start number to a user specified stop number. Assume that the second number the user enters will be larger than the first number. Use two input queries and a for-end loop 4. 5. Create a function that finds a user-defined number in the Fibonacci sequence. Create a function that gives the plot of a line given the user defined slope and y-intercept. You will need to think about what to set your x-axis limits to for a good plot. 6