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a. Draw the graph of the following functions on a grid using the loop method. Indicate the titles and label the axes for a function f(x) = r^6 on the interval [-100,100]. [5] b. Concrete used for UNAM Science Block toilet is a mixture of Portland cement, sand, and gravel. A distributor has three batches available for contractors. Batch 1 contains cement, sand, and gravel mixed in the proportions x, y, and z. Batch 2 contains cement, sand, and gravel mixed in the proportions a, b, and c. Batch 3 contains cement, sand, and gravel mixed in the proportions p, q, and r. Let x, y, z, a, b, c, p, q, and r denote the amount in cubic yards to be used from each batch to form a mixture of 10 cubic yards. Also, suppose that the mixture is to contain 62.3, 34.8, and 32.9 cubic yards of Portland cement, sand, and gravel respectively: (i) Find the combination of mixture which provides the required proportions of Portland cement, sand, and gravel by writing the system of equations. [4] (ii) Further use Cramer's rule and MATLAB to solve the equations above. [10] (iii) Find the inverse of matrix A. [3] (iv) Reduce matrix A to reduced row-echelon form. [3] (v) Explain the left division operation in MATLAB. [4]

          a. Draw the graph of the following functions on a grid using the loop method. Indicate the titles and label the axes for a function f(x) = r^6 on the interval [-100,100]. [5]
    b. Concrete used for UNAM Science Block toilet is a mixture of Portland cement, sand, and gravel. A distributor has three batches available for contractors. Batch 1 contains cement, sand, and gravel mixed in the proportions x, y, and z. Batch 2 contains cement, sand, and gravel mixed in the proportions a, b, and c. Batch 3 contains cement, sand, and gravel mixed in the proportions p, q, and r. Let x, y, z, a, b, c, p, q, and r denote the amount in cubic yards to be used from each batch to form a mixture of 10 cubic yards. Also, suppose that the mixture is to contain 62.3, 34.8, and 32.9 cubic yards of Portland cement, sand, and gravel respectively:
    (i) Find the combination of mixture which provides the required proportions of Portland cement, sand, and gravel by writing the system of equations. [4]
    (ii) Further use Cramer's rule and MATLAB to solve the equations above. [10]
    (iii) Find the inverse of matrix A. [3]
    (iv) Reduce matrix A to reduced row-echelon form. [3]
    (v) Explain the left division operation in MATLAB. [4]

a draw the graph of the following functions on grid using the loop method indicate the titles and label the axes for a function f r 6 on interval 100100 5 b concrete used for unam science bl 54397

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