Stitz-Zeager_College_Algebra_e-book

Case 1 the row r being replaced is the rst row of a

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Unformatted text preview: Make the appropriate substitutions to help you solve for x and y . (a) √ 4x3 + 3 y = 1 √ 3x3 + 2 y = −1 (b) 4ex + 3e−y = 1 3ex + 2e−y = −1 (c) 4 ln(x) + 3y 2 = 1 3 ln(x) + 2y 2 = −1 10. Solve the following system √ x2 + y + log2 (z ) = 6 √ 3x2 − 2 y + 2 log2 (z ) = 5 √ −4x2 + y − 3 log2 (z ) = 11 11. Sketch the solution to each system of nonlinear inequalities in the plane. (a) (b) (c) x2 − y 2 ≤ 1 x2 + 4 y 2 ≥ 4 x2 x2 + y 2 < 25 + (y − 3)2 ≥ 10 (x − 2)2 + y 2 < 1 x2 + 4 y 2 < 4 (d) y > 10x − x2 y< x3 + 8 (e) x + 2y 2 > 2 x2 + 4 y 2 ≤ 4 (f) x2 + y 2 ≥ 25 y−x ≤ 1 546 Systems of Equations and Matrices 12. Systems of nonlinear equations show up in third semester Calculus in the midst of some really cool problems. The system below came from a problem in which we were asked to find the dimensions of a rectangular box with a volume of 1000 cubic inches that has minimal surface area. The variables x, y and z are the dimensions of th...
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