For the equations: y² + x² =25, y² + x² = 9 and 0 ≤ 0≤, answer the following questions to determine which quadrants the equations apply. Step 1: What is the general form of the equations? O conic hyperbolas O circles Ⓒellipses Hint: Determine the domain for r and then the domain for Step 2: What coordinate systems are used for defining the equations? The response should be with the equation coordinate system first and the domain coordinate system second. rectangular, polar polar, rectangular Opolar, polar rectangular, rectangular Hint: When an equation is defined in terms of x & y, what is the coordinate system being used? When the domain is defined in terms of r & 8, what s the coordinate system being used? Step 3: What are the radii? Enter the larger radius 1st. Use comma separated format. 5,5 3,3 Ⓒ 3,5 Ⓒ5,3 Hint: The standard form of an equation for a circle is x^2 + y^2 = r^2. What is r for the two equations. Step 4: What is the region(s) defined by the equations and domain? O Quadrant 1 & 2 O Quadrant 2 & 3 O Quadrant 3 & 4 Quadrant 1 & 4 Hint: 1) What is the smallest value of 0. This is where the region starts. 2) What is the directon for increasing values of 0? 3) What is the largest value of 0. This is where the region ends.
For the equations: y² + x² =25, y² + x² = 9 and 0 ≤ 0≤, answer the following questions to determine which quadrants the equations apply. Step 1: What is the general form of the equations? O conic hyperbolas O circles Ⓒellipses Hint: Determine the domain for r and then the domain for Step 2: What coordinate systems are used for defining the equations? The response should be with the equation coordinate system first and the domain coordinate system second. rectangular, polar polar, rectangular Opolar, polar rectangular, rectangular Hint: When an equation is defined in terms of x & y, what is the coordinate system being used? When the domain is defined in terms of r & 8, what s the coordinate system being used? Step 3: What are the radii? Enter the larger radius 1st. Use comma separated format. 5,5 3,3 Ⓒ 3,5 Ⓒ5,3 Hint: The standard form of an equation for a circle is x^2 + y^2 = r^2. What is r for the two equations. Step 4: What is the region(s) defined by the equations and domain? O Quadrant 1 & 2 O Quadrant 2 & 3 O Quadrant 3 & 4 Quadrant 1 & 4 Hint: 1) What is the smallest value of 0. This is where the region starts. 2) What is the directon for increasing values of 0? 3) What is the largest value of 0. This is where the region ends.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![For the equations: \(y^2 + x^2 = 25, \, y^2 + x^2 = 9\) and \(0 \leq \theta \leq \pi\), answer the following questions to determine which quadrants the equations apply.
**Step 1:** What is the general form of the equations?
- [ ] conic
- [ ] hyperbolas
- [ ] circles
- [ ] ellipses
*Hint:* Determine the domain for \(r\) and then the domain for \(\theta\).
**Step 2:** What coordinate systems are used for defining the equations? The response should be with the equation coordinate system first and the domain coordinate system second.
- [ ] rectangular, polar
- [ ] polar, rectangular
- [ ] polar, polar
- [ ] rectangular, rectangular
*Hint:* When an equation is defined in terms of \(x\) & \(y\), what is the coordinate system being used? When the domain is defined in terms of \(r\) & \(\theta\), what's the coordinate system being used?
**Step 3:** What are the radii? Enter the larger radius 1st. Use comma-separated format.
- [ ] 5, 5
- [ ] 3, 3
- [ ] 3, 5
- [ ] 5, 3
*Hint:* The standard form of an equation for a circle is \(x^2 + y^2 = r^2\). What is \(r\) for the two equations?
**Step 4:** What is the region(s) defined by the equations and domain?
- [ ] Quadrant 1 & 2
- [ ] Quadrant 2 & 3
- [ ] Quadrant 3 & 4
- [ ] Quadrant 1 & 4
*Hint:* 1) What is the smallest value of \(\theta\). This is where the region starts. 2) What is the direction for increasing values of \(\theta\)? 3) What is the largest value of \(\theta\). This is where the region ends.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6299149-d13e-40ce-9fb0-505fd84df45f%2F06f9d2bd-7236-4f10-b3eb-a6fb089d640a%2Fqs6slen_processed.png&w=3840&q=75)
Transcribed Image Text:For the equations: \(y^2 + x^2 = 25, \, y^2 + x^2 = 9\) and \(0 \leq \theta \leq \pi\), answer the following questions to determine which quadrants the equations apply.
**Step 1:** What is the general form of the equations?
- [ ] conic
- [ ] hyperbolas
- [ ] circles
- [ ] ellipses
*Hint:* Determine the domain for \(r\) and then the domain for \(\theta\).
**Step 2:** What coordinate systems are used for defining the equations? The response should be with the equation coordinate system first and the domain coordinate system second.
- [ ] rectangular, polar
- [ ] polar, rectangular
- [ ] polar, polar
- [ ] rectangular, rectangular
*Hint:* When an equation is defined in terms of \(x\) & \(y\), what is the coordinate system being used? When the domain is defined in terms of \(r\) & \(\theta\), what's the coordinate system being used?
**Step 3:** What are the radii? Enter the larger radius 1st. Use comma-separated format.
- [ ] 5, 5
- [ ] 3, 3
- [ ] 3, 5
- [ ] 5, 3
*Hint:* The standard form of an equation for a circle is \(x^2 + y^2 = r^2\). What is \(r\) for the two equations?
**Step 4:** What is the region(s) defined by the equations and domain?
- [ ] Quadrant 1 & 2
- [ ] Quadrant 2 & 3
- [ ] Quadrant 3 & 4
- [ ] Quadrant 1 & 4
*Hint:* 1) What is the smallest value of \(\theta\). This is where the region starts. 2) What is the direction for increasing values of \(\theta\)? 3) What is the largest value of \(\theta\). This is where the region ends.
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