06:24How to Plot Polar Coordinates with Negative arguments in Radians on the Polar GridAnil Kumar328views
Multiple ChoicePlot the point on the polar coordinate system.(6,−11π6)(6,-\frac{11\pi}{6})(6,−611π)138views
Multiple ChoicePlot the point on the polar coordinate system.(−2,2π3)(-2,\frac{2\pi}{3})(−2,32π)131views
Multiple ChoicePlot the point (3,π2)(3,\frac{\pi}{2})(3,2π) & find another set of coordinates, (r,θ)(r,θ)(r,θ), for this point, where:(A) r≥0,2π≤θ≤4πr≥0,2π≤θ≤4πr≥0,2π≤θ≤4π,(B) r≥0,−2π≤θ≤0r≥0,-2π≤θ≤0r≥0,−2π≤θ≤0,(C) r≤0,0≤θ≤2πr≤0,0≤θ≤2π r≤0,0≤θ≤2π.118views
Multiple ChoicePlot the point (5,−π3)(5,-\frac{\pi}{3})(5,−3π), then identify which of the following sets of coordinates is the same point.103views
Multiple ChoicePlot the point (−3,−π6)(-3,-\frac{\pi}{6})(−3,−6π), then identify which of the following sets of coordinates is the same point.97views
Textbook QuestionIn Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. (3, 225°)245views
Textbook QuestionIn Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. (−3, 5π/4)165views
Textbook QuestionIn Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. (3, π)166views
Textbook QuestionIn Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. (3, −135°)181views
Textbook QuestionIn Exercises 7–12, test for symmetry with respect to a. the polar axis. b. the line θ=π2. c. the pole. r = 4 + 3 cos θ260views
Textbook QuestionIn Exercises 1–10, indicate if the point with the given polar coordinates is represented by A, B, C, or D on the graph. (−3, −3π/4)226views
Textbook QuestionIn Exercises 11–20, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. (2, 45°)228views
Textbook QuestionConvert x² + (y + 8)² = 64 to a polar equation that expresses r in terms of θ.205views
Textbook QuestionIn Exercises 11–20, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. (3, 90°)208views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 cos θ171views
Textbook QuestionIn Exercises 11–20, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. (3, 4π/3)194views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 − sin θ169views
Textbook QuestionIn Exercises 11–20, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. (−1, π)168views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 + 2 cos θ200views
Textbook QuestionIn Exercises 11–20, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. (−2, − π/2)180views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 + cos θ171views
Textbook QuestionIn Exercises 21–26, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. Then find another representation of this point in which a. r>0, 2π < θ < 4π. b. r<0, 0. < θ < 2π. c. r>0, −2π. < θ < 0. (5, π/6)186views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 + 2 cos θ175views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 − 3 sin θ163views
Textbook QuestionIn Exercises 21–26, use a polar coordinate system like the one shown for Exercises 1–10 to plot each point with the given polar coordinates. Then find another representation of this point in which a. r>0, 2π < θ < 4π. b. r<0, 0. < θ < 2π. c. r>0, −2π. < θ < 0. (4, π/2)306views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (7, 140°) (−7, 320°)154views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 4 sin 3θ170views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (4, 120°) (−4, 300°)176views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (2, − 3π/4) (2, − 7π/4)165views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−2, 7π/6) (−2, −5π/6)168views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−5, − π/4) (−5, 7π/4)211views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 − 3 sin θ252views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−6, 3π) (6, −π)200views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (4, 90°)347views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r cos θ = −3171views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = cos θ/2190views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (−4, π/2)249views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (7.4, 2.5)246views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = 1 / 1−cos θ179views
Textbook QuestionIn Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. (−2, 2)203views
Textbook QuestionIn Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. _ (2,−2√3)189views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = 2 + 3 sin 2θ177views
Textbook QuestionIn Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. _ (−√3,−1)163views
Textbook QuestionIn Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. (5, 0)255views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. 3x + y = 7233views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. x = 7193views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. x² + y² = 9175views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. (x − 2)² + y² = 4237views
Textbook QuestionIn Exercises 54–60, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system. θ = 3π/4174views
Textbook QuestionIn Exercises 54–60, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system. r = 5 csc θ216views
Textbook QuestionIn Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. r = 8245views
Textbook QuestionIn Exercises 61–63, test for symmetry with respect to a. the polar axis. b. the line θ = π/2. c. the pole. r = 5 + 3 cos θ210views
Textbook QuestionIn Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. r = 4 csc θ259views
Textbook QuestionIn Exercises 64–70, graph each polar equation. Be sure to test for symmetry. r = 2 + 2 sin θ210views
Textbook QuestionIn Exercises 64–70, graph each polar equation. Be sure to test for symmetry. r = 2 + cos θ174views
Textbook QuestionIn Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. r = 12 cos θ300views
Textbook QuestionIn Exercises 59–74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. r = 6 cos θ + 4 sin θ249views
Textbook QuestionIn Exercises 79–80, convert each polar equation to a rectangular equation. Then determine the graph's slope and y-intercept. r sin (θ − π/4) = 2168views
Textbook QuestionIn Exercises 81–82, find the rectangular coordinates of each pair of points. Then find the distance, in simplified radical form, between the points. (2, 2π/3) and (4, π/6)181views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. x⁶ − 1 = 0202views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. x⁴ + 16i = 0243views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. _ x³ − (1 + i√3 = 0203views
Textbook QuestionIn calculus, it can be shown that e^(iθ) = cos θ + i sin θ. In Exercises 87–90, use this result to plot each complex number. e^(πi/4)171views
Textbook QuestionIn calculus, it can be shown that e^(iθ) = cos θ + i sin θ. In Exercises 87–90, use this result to plot each complex number. -e^-πi158views