Guided course 3:00Determining Different Coordinates for the Same Point Example 2Callie Rethman141views
06:24How to Plot Polar Coordinates with Negative arguments in Radians on the Polar GridAnil Kumar319views
Multiple ChoicePlot the point on the polar coordinate system.(6,−11π6)(6,-\frac{11\pi}{6})(6,−611π)121views
Multiple ChoicePlot the point on the polar coordinate system.(−2,2π3)(-2,\frac{2\pi}{3})(−2,32π)116views
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.109views
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.95views
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.93views
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°)214views
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)151views
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)148views
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°)166views
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 θ234views
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)203views
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°)206views
Textbook QuestionConvert x² + (y + 8)² = 64 to a polar equation that expresses r in terms of θ.182views
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°)195views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 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. (3, 4π/3)167views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 − sin θ149views
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)154views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 + 2 cos θ178views
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)162views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 + cos θ152views
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)165views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 + 2 cos θ163views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 − 3 sin θ151views
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)277views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (7, 140°) (−7, 320°)137views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 4 sin 3θ157views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (4, 120°) (−4, 300°)159views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (2, − 3π/4) (2, − 7π/4)154views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−2, 7π/6) (−2, −5π/6)153views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−5, − π/4) (−5, 7π/4)189views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 − 3 sin θ227views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−6, 3π) (6, −π)184views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (4, 90°)322views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r cos θ = −3159views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = cos θ/2165views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (−4, π/2)221views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (7.4, 2.5)223views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = 1 / 1−cos θ164views
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)177views
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)171views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = 2 + 3 sin 2θ165views
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)143views
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)240views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. 3x + y = 7212views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. x = 7174views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. x² + y² = 9162views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. (x − 2)² + y² = 4212views
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/4154views
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 θ198views
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 = 8224views
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 θ192views
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 θ232views
Textbook QuestionIn Exercises 64–70, graph each polar equation. Be sure to test for symmetry. r = 2 + 2 sin θ194views
Textbook QuestionIn Exercises 64–70, graph each polar equation. Be sure to test for symmetry. r = 2 + cos θ156views
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 θ274views
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 θ220views
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) = 2153views
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)165views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. x⁶ − 1 = 0182views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. x⁴ + 16i = 0224views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. _ x³ − (1 + i√3 = 0191views
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)160views
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^-πi144views