Stitz-Zeager_College_Algebra_e-book

# Namely we must show k1 a j 1d j 1 k1 2a k

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: l solution are below. y y y 3 3 2 2 1 1 x −3 −2 −1 2 x −3 −2 −1 2 −1 −2 −3 x2 + y 2 ≥ 4 −1 −2 −1 −3 x2 − 2x + y 2 − 2y ≤ 0 Solution to the system. x 544 8.7.1 Systems of Equations and Matrices Exercises 1. Solve the following systems of nonlinear equations. Sketch the graph of both equations on the same set of axes to verify the solution set. (a) x2 − y = 4 x2 + y 2 = 4 (c) x2 + y 2 = 16 16x2 + 4y 2 = 64 (e) (b) x2 + y 2 = 4 x2 − y = 5 (d) x2 + y 2 = 16 9x2 − 16y 2 = 144 (f) x2 + y 2 = 16 =1 12 12 9 y − 16 x x2 + y 2 = 16 x−y = 2 2. Solve the following systems of nonlinear equations. Use a graph to help you avoid any potential extraneous solutions. (a) (b) (c) x2 − y 2 = x2 + 4 y 2 = √ x+1−y x2 + 4y 2 1 4 =0 =4 x + 2y 2 = 2 x2 + 4 y 2 = 4 (d) (x − 2)2 + y 2 = 1 x2 + 4 y 2 = 4 (e) x2 + y 2 = 25 y−x = 1 (f) x2 x2 + y 2 = 25 + (y − 3)2 = 10 y= x3 + 8 y = 10x − x2 (g) x2 + y 2 = 25 4x2 − 9y = 0 (h) 2 3y − 16x = 0 3. Carl and Mike start...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online