**This MATLAB samples assignment series is aimed to help students ****to begin with MATLAB Programming. For advanced and complicated problem solving, these basics are helpful to develop building block. Essaycorp **help** students to solve complex MATLAB assignment.**

In this series , these problems are solved

- Calculation of area of a sphere and calculate differential changes ( relative changes in area of sphere with change in radius)
- For a given quadratic expression , find the minimum value and RHS and LHS limits

- Calculate Area of Sphere
% Example 1_1: Compute surface area of a sphere % A: surface area of the sphere % r: radius of the sphere r= input('Enter the radius: '); A= 4*3.14159*r*r; fprintf('Surface area is %f!\n', A)

- How the surface area of a sphere % changes with an increase in the radius
% Example 1_2: Explore how the surface area of a sphere % changes with an increase in the radius. r= input('Enter radius r in miles: '); delta= input('Enter delta r in inches: '); newr= r + ((delta/12)/5280); % new radius in miles A= 4*pi*r^2; % original surface area newA= 4*pi*newr^2; % new surface area incr= newA - A; % increase in area fprintf('Increase in area (mile^2) is %f.\n', incr)

- Find min of q(x)=x^2+bx+c given b,c and random L,R
% Find min of q(x)=x^2+bx+c given b,c and random L,R b= 2; c= -1.5; % coefficients of q(x) L= rand*10 - 8; % left end of interval, random in (-8,2) R= L + 1 + rand*10; % right end of interval, random in (-7,13) xc = -b/2; % critical value if (L<=xc && xc<=R) % min is at xc qMin= xc^2 + b*xc + c; else % min is at L or R if xc < L qMin= L^2 + b*L + c; else qMin= R^2 + b*R + c; end end disp('Quadratic function q(x) = x^2 + bx + c') fprintf(' b=%.2f c=%.2f\n', b,c) fprintf('The minimum value in [%.2f,%.2f] is %.4f\n', L,R,qMin)

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