ON MATLAB

2. mysum (a,m,n) which takes three inputs [50 pts 50 pts a: A positive integer m: A positive integer n: A positive integer Note: You may assume that n2 m Does: Uses a for loop to calculate Returns: This sum. (a) 3. mydetecttop(f,a,t) which takes three inputs: 50 pts f: A function handle a: A real number t: A real number Note: You may assume that f is increasing at x = a but for some x > a that f is decreasing Does: Uses a while loop to check f(x) for x-a, r-a +3t, r-a6t, until a value is smaller than the previous value Returns: The r value for which this happens. 4. myimproperintegral(f,a,t) which takes three inputs: 50 pts f: A function handle a: A real number t: A real number Note: You may assume that f(x) dx converges and that t >0 Does: Uses a while loop to calculate a+2 f() df(x) dx, /f(x)dx.,... until successive integrals differ by less than t Returns: The final calculated integral 2. mysum (a,m,n) which takes three inputs [50 pts 50 pts a: A positive integer m: A positive integer n: A positive integer Note: You may assume that n2 m Does: Uses a for loop to calculate Returns: This sum. (a) 3. mydetecttop(f,a,t) which takes three inputs: 50 pts f: A function handle a: A real number t: A real number Note: You may assume that f is increasing at x = a but for some x > a that f is decreasing Does: Uses a while loop to check f(x) for x-a, r-a +3t, r-a6t, until a value is smaller than the previous value Returns: The r value for which this happens. 4. myimproperintegral(f,a,t) which takes three inputs: 50 pts f: A function handle a: A real number t: A real number Note: You may assume that f(x) dx converges and that t >0 Does: Uses a while loop to calculate a+2 f() df(x) dx, /f(x)dx.,... until successive integrals differ by less than t Returns: The final calculated integral