Guided course 3:00Determining Different Coordinates for the Same Point Example 2Callie Rethman109views
06:24How to Plot Polar Coordinates with Negative arguments in Radians on the Polar GridAnil Kumar296views
Multiple ChoicePlot the point on the polar coordinate system.(6,−11π6)(6,-\frac{11\pi}{6})(6,−611π)90views
Multiple ChoicePlot the point on the polar coordinate system.(−2,2π3)(-2,\frac{2\pi}{3})(−2,32π)88views
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.80views
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.76views
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.72views
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°)184views
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)132views
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)128views
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°)147views
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 θ203views
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)174views
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°)186views
Textbook QuestionConvert x² + (y + 8)² = 64 to a polar equation that expresses r in terms of θ.154views
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°)169views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 cos θ134views
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)147views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 − sin θ130views
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)135views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 + 2 cos θ151views
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)139views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 + cos θ127views
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)141views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 + 2 cos θ143views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 − 3 sin θ131views
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)242views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (7, 140°) (−7, 320°)113views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 4 sin 3θ140views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (4, 120°) (−4, 300°)140views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (2, − 3π/4) (2, − 7π/4)133views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−2, 7π/6) (−2, −5π/6)130views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−5, − π/4) (−5, 7π/4)162views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 − 3 sin θ188views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−6, 3π) (6, −π)160views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (4, 90°)276views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r cos θ = −3140views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = cos θ/2143views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (−4, π/2)187views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (7.4, 2.5)184views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = 1 / 1−cos θ147views
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)152views
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)148views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = 2 + 3 sin 2θ151views
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)125views
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)208views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. 3x + y = 7186views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. x = 7152views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. x² + y² = 9145views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. (x − 2)² + y² = 4181views
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/4134views
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 θ171views
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 = 8185views
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 θ157views
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 θ201views
Textbook QuestionIn Exercises 64–70, graph each polar equation. Be sure to test for symmetry. r = 2 + 2 sin θ171views
Textbook QuestionIn Exercises 64–70, graph each polar equation. Be sure to test for symmetry. r = 2 + cos θ135views
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 θ236views
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 θ188views
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) = 2132views
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)136views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. x⁶ − 1 = 0155views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. x⁴ + 16i = 0180views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. _ x³ − (1 + i√3 = 0169views
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)138views
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^-πi128views