06:24How to Plot Polar Coordinates with Negative arguments in Radians on the Polar GridAnil Kumar345views
Multiple ChoicePlot the point on the polar coordinate system.(6,−11π6)(6,-\frac{11\pi}{6})(6,−611π)159views
Multiple ChoicePlot the point on the polar coordinate system.(−2,2π3)(-2,\frac{2\pi}{3})(−2,32π)169views
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.136views
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.120views
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.110views
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°)269views
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)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, π)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, −135°)200views
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 θ280views
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)256views
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°)249views
Textbook QuestionConvert x² + (y + 8)² = 64 to a polar equation that expresses r in terms of θ.227views
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°)231views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 cos θ192views
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)225views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 − sin θ189views
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)182views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 + 2 cos θ225views
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)200views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 + cos θ190views
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)210views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 + 2 cos θ194views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 2 − 3 sin θ176views
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)339views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (7, 140°) (−7, 320°)180views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 4 sin 3θ182views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (4, 120°) (−4, 300°)198views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (2, − 3π/4) (2, − 7π/4)184views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−2, 7π/6) (−2, −5π/6)193views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−5, − π/4) (−5, 7π/4)236views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r = 1 − 3 sin θ291views
Textbook QuestionIn Exercises 27–32, select the representations that do not change the location of the given point. (−6, 3π) (6, −π)221views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (4, 90°)373views
Textbook QuestionIn Exercises 13–34, test for symmetry and then graph each polar equation. r cos θ = −3190views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = cos θ/2218views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (−4, π/2)269views
Textbook QuestionIn Exercises 33–40, polar coordinates of a point are given. Find the rectangular coordinates of each point. (7.4, 2.5)272views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = 1 / 1−cos θ197views
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)232views
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)204views
Textbook QuestionIn Exercises 35–44, test for symmetry and then graph each polar equation. r = 2 + 3 sin 2θ197views
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)181views
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)276views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. 3x + y = 7266views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. x = 7214views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. x² + y² = 9199views
Textbook QuestionIn Exercises 49–58, convert each rectangular equation to a polar equation that expresses r in terms of θ. (x − 2)² + y² = 4264views
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/4192views
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 θ240views
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 = 8275views
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 θ229views
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 θ290views
Textbook QuestionIn Exercises 64–70, graph each polar equation. Be sure to test for symmetry. r = 2 + 2 sin θ233views
Textbook QuestionIn Exercises 64–70, graph each polar equation. Be sure to test for symmetry. r = 2 + cos θ193views
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 θ340views
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 θ282views
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) = 2189views
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)205views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. x⁶ − 1 = 0226views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. x⁴ + 16i = 0265views
Textbook QuestionIn Exercises 81–86, solve each equation in the complex number system. Express solutions in polar and rectangular form. _ x³ − (1 + i√3 = 0221views
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)189views
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^-πi174views