Stitz-Zeager_College_Algebra_e-book

Population when unchecked increases in a geometrical

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x-axis of length 6 and a minor axis along the y -axis of length 4. We see from the graph that the two curves intersect at their y -intercepts only, (0, ±2). 2. We proceed as before to eliminate one of the variables (E 1) x2 + y 2 = 4 (E 2) 4x2 − 9y 2 = 36 Replace E 2 with −− − − −→ −−−−− −4E 1 + E 2 (E 1) x2 + y 2 = 4 (E 2) −13y 2 = 20 8.7 Systems of Non-Linear Equations and Inequalities 533 Since the equation −13y 2 = 20 admits no real solution, the system is inconsistent. To verify this graphically, we note that x2 + y 2 = 4 is the same circle as before, but when writing the 2 2 second equation in standard form, x − y4 = 1, we find a hyperbola centered at (0, 0) opening 9 to the left and right with a transverse axis of length 6 and a conjugate axis of length 4. We see that the circle and the hyperbola have no points in common. y y 1 −3 −2 −1 1 1 2 3 −3 x −2 −1 −1 x2 + y 2 = 4 4x2 + 9y 2 = 36 Graphs for 1 2 3 x −1 Graphs for x2 + y 2 = 4 4x2 − 9y 2 = 36 3. Since there are n...
View Full Document

This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

Ask a homework question - tutors are online