Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
Bartleby Related Questions Icon

Related questions

Question
Suppose that \( P = (x, y) \) has polar coordinates \(\left( r, \frac{\pi}{15} \right)\). Find the polar coordinates for the following points if \( \theta \in [0, 2\pi] \).

(a) \( P = (x, -y) \)

(Give your answer in the form \((*, *)\). Express numbers in exact form. Use symbolic notation and fractions where needed.)

**Polar coordinates:** 
\[ \left( \sqrt{x^2 + y^2}, 0 \right) \]

*Incorrect*

(b) \( P = (-x, -y) \)

(Give your answer in the form \((*, *)\). Express numbers in exact form. Use symbolic notation and fractions where needed.)

**Polar coordinates:**
\[ \left( \sqrt{x^2 + y^2}, \pi \right) \]

*Incorrect*

(c) \( P = (-x, y) \)

(Give your answer in the form \((*, *)\). Express numbers in exact form. Use symbolic notation and fractions where needed.)

**Polar coordinates:**
\[ \left( \sqrt{x^2 + y^2}, 0 \right) \]

*Incorrect*

(d) \( P = (y, x) \)

(Give your answer in the form \((*, *)\). Express numbers in exact form. Use symbolic notation and fractions where needed.)

**Polar coordinates:**
\[ \left( \sqrt{x^2 + y^2}, 0 \right) \]

*Incorrect*
expand button
Transcribed Image Text:Suppose that \( P = (x, y) \) has polar coordinates \(\left( r, \frac{\pi}{15} \right)\). Find the polar coordinates for the following points if \( \theta \in [0, 2\pi] \). (a) \( P = (x, -y) \) (Give your answer in the form \((*, *)\). Express numbers in exact form. Use symbolic notation and fractions where needed.) **Polar coordinates:** \[ \left( \sqrt{x^2 + y^2}, 0 \right) \] *Incorrect* (b) \( P = (-x, -y) \) (Give your answer in the form \((*, *)\). Express numbers in exact form. Use symbolic notation and fractions where needed.) **Polar coordinates:** \[ \left( \sqrt{x^2 + y^2}, \pi \right) \] *Incorrect* (c) \( P = (-x, y) \) (Give your answer in the form \((*, *)\). Express numbers in exact form. Use symbolic notation and fractions where needed.) **Polar coordinates:** \[ \left( \sqrt{x^2 + y^2}, 0 \right) \] *Incorrect* (d) \( P = (y, x) \) (Give your answer in the form \((*, *)\). Express numbers in exact form. Use symbolic notation and fractions where needed.) **Polar coordinates:** \[ \left( \sqrt{x^2 + y^2}, 0 \right) \] *Incorrect*
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Text book image
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Text book image
Precalculus
Calculus
ISBN:9780135189405
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning