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Task 1: Consider the function () = 3 + ( )2 , where, m is the maximum even digit in your QU-ID number n is

Task 1: Consider the function () = 3 + ( )2 , where, m is the maximum even digit in your QU-ID number n is the maximum odd digit in your QU-ID number

(For example if your university ID number is 2013 45630 , then m=6 and n= 5)

  • Define your constant m and n

  • Declare your variable x ( as your symbolic variable with matlab)

  • Define the function ( as inline function with matlab)

  • Computes its derivative.

  • Find its y-intercept

  • Find the x-intercept of the function( using matlab ,solve for f (x)=0 )

  • Find the critical points of the function (using matlab, solve for f ' ( x) = 0 )

  • Plot the function with its derivative; noting the corresponding between the sign of the derivative and the increasing /decreasing nature of the

    function.

Task 2: Find the point on the curve = 2 closest to the point (0, + ), where m is the maximum even digit in your QU-ID number and n is the maximum odd digit in your QU-ID number. (For example if your university ID number is 2013 45630 , then m=6 and n= 5)

using Matlab codes :

m ; 2

n; 7

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