MATH 312 Midterm: MATH 312 KSU Test 1s99
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15 Feb 2019
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Correct answers without supporting work will receive no credit. Show that the inverse of the matrix . 4 is (10) (b) use part (a) to solve the system: You must use part (a), not some other method. (12) (c) use gaussian elimination to solve the system in part (b). Gaussian elimination, not some other method: here is a linear programming problem: maximize 3x + 4y with respect to the page 2 contstraints x 0, y 0. 2x y 1 (15) (a) solve the problem geometrically by nding the region of feasibility. You must draw a diagram. (15) (b) solve the problem by using the simplex algorithm. (10) 3. Write the initial simplex table for the following: minimize x + 2y z with respect to the constraints page 3 x 0, y 0, z 0 x 2y + z 1. X 5y + 6z 2 (10) 4.
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x^2 + 8xy + 8y^2 x^2 + 8xy + 15y^2 x + 8xy + 15y |
54x^14 + 72x^9 54x^14 + 72x^9 -42x^7 54x^14 + 12x^2 -7 |
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Trinomial, degree 3 Trinomial, degree18 Trinomial, degree11 |
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False |