{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW_4_Key

# HW_4_Key - Miller Kierste – Homework 4 – Due 3:00 am...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

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

Unformatted text preview: Miller, Kierste – Homework 4 – Due: Sep 20 2007, 3:00 am – Inst: JEGilbert 1 This print-out should have 15 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points Which one of the following conic sections has graph 1 2 3 4- 1- 2 1 2 3 4- 1- 2 1. 4 x 2- 8 x + 9 y 2 + 18 y = 23 2. 4 x 2 + 8 x + 9 y 2- 18 y = 23 3. 9 x 2 + 18 x- 4 y 2 + 8 y = 41 4. 9 x 2- 18 x- 4 y 2 + 8 y = 41 5. 4 x 2- 8 x + 9 y 2- 18 y = 23 correct 6. 9 x 2- 18 x- 4 y 2 + 8 y = 41 Explanation: The graph is a shifted ellipse centered at (1 , 1) whose major axis has length 6 and mi- nor axis has length 4. Thus one equation for this ellipse is ( x- 1) 2 9 + ( y- 1) 2 4 = 1 , which after expansion and simplification can be rewritten as 4 x 2- 8 x + 9 y 2- 18 y = 23 . keywords: graph, conic section, ellipse, shifted ellipse 002 (part 1 of 1) 10 points Which one of the following conic sections has graph 2 4- 2- 4- 6 2 4 6- 2- 4 1. x 2- 2 x- 4 y 2- 8 y = 7 2. x 2 + 2 x + 4 y 2- 8 y + 1 = 0 3. 4 y 2- 8 x- x 2 + 2 x = 1 4. x 2 + 2 x- 4 y 2 + 8 y = 7 5. x 2 + 2 x- 4 y 2- 8 y = 7 6. x 2- 2 x + 4 y 2 + 8 y + 1 = 0 7. 4 y 2- 8 y- x 2- 2 x = 1 correct 8. 4 y 2 + 8 x- x 2 + 2 y = 1 Explanation: The graph is a shifted hyperbola having asymptotes which intersect at (- 1 , 1) as well as vertices at (- 1 , 2) and (- 1 , 0). Thus one equation for this hyperbola is ( y- 1) 2 1- ( x + 1) 2 4 = 1 , Miller, Kierste – Homework 4 – Due: Sep 20 2007, 3:00 am – Inst: JEGilbert 2 which after expansion and simplification can be rewritten as 4 y 2- 8 y- x 2- 2 x = 1 . keywords: graph, conic section, ellipse, shifted ellipse 003 (part 1 of 1) 10 points Find an equation for the parabola having vertex (0 , 0) and focus (0 ,- 4). 1. x 2 + 15 y = 0 2. x 2 = 16 y 3. x 2 = 4 y 4. x 2 + 16 y = 0 correct 5. x 2 = 15 y 6. x 2 + 4 y = 0 Explanation: keywords: 004 (part 1 of 1) 10 points Suppose you start at the origin in 3-space, move along the x-axis a distance of 4 units in the positive direction, and then move down- ward a distance of 8 units. What are the coordinates of your position? 1. (4 , , 8) 2. (4 , ,- 8) correct 3. (0 , 4 ,- 8) 4. (4 ,- 8 , 0) 5. (0 ,- 8 , 4) Explanation: We start at the origin, which has coordi- nates (0 , , 0). First we move 4 units along the positive x-axis, affecting only the x- coordinate, bringing us to the point (4 , , 0)....
View Full Document

{[ snackBarMessage ]}

### Page1 / 7

HW_4_Key - Miller Kierste – Homework 4 – Due 3:00 am...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online