11/30/2015 Optional Assignment 01 (8.1) 2. –/1 pointsSPreCalc7 8.1.002. Let P be a point in the plane. (a) If P has polar coordinates (r, θ) then it has rectangular coordinates (x, y) where x = and y = . (b) If P has rectangular coordinates (x, y) then it has polar coordinates (r, θ) where r2 = and tan(θ) = . http://www.webassign.net/web/Student/Assignment-Responses/last?dep=12088938 2/10 11/30/2015 Optional Assignment 01 (8.1) 3. –/1 pointsSPreCalc7 8.1.008. Plot the point that has the given polar coordinates. 5, − 2π 3 http://www.webassign.net/web/Student/Assignment-Responses/last?dep=12088938 3/10 11/30/2015 Optional Assignment 01 (8.1) 4. –/1 pointsSPreCalc7 8.1.010. Plot the point that has the given polar coordinates. −5, −17π 6 http://www.webassign.net/web/Student/Assignment-Responses/last?dep=12088938 4/10 11/30/2015 Optional Assignment 01 (8.1) 5. –/1 pointsSPreCalc7 8.1.011. Plot the point that has the given polar coordinates. 2, π 2 Give two other polar coordinate representations of the point, one with r < 0 and one with r > 0. http://www.webassign.net/web/Student/Assignment-Responses/last?dep=12088938 5/10 11/30/2015 Optional Assignment 01 (8.1) (r, θ) = (smaller r­value) (r, θ) = (larger r­value) 6. –/1 pointsSPreCalc7 8.1.019. Determine which point in the figure, P, Q, R, or S, has the given polar coordinates. −4, − π 4 http://www.webassign.net/web/Student/Assignment-Responses/last?dep=12088938 6/10 11/30/2015 Optional Assignment 01 (8.1) 7. –/1 pointsSPreCalc7 8.1.024. Determine which point in the figure, P, Q, R, or S, has the given polar coordinates. 4, 127π 4 8. –/1 pointsSPreCalc7 8.1.027. A point is graphed in polar form. Find its rectangular coordinates. (x, y) = http://www.webassign.net/web/Student/Assignment-Responses/last?dep=12088938 7/10 11/30/2015 Optional Assignment 01 (8.1) 9. –/1 pointsSPreCalc7 8.1.030.MI. Find the rectangular coordinates for the point whose polar coordinates are given. 4, 2π 3 (x, y) = 10.–/1 pointsSPreCalc7 8.1.034. Find the rectangular coordinates for the point whose polar coordinates are given. (0, 18π) (x, y) = 11.–/1 pointsSPreCalc7 8.1.039. Convert the rectangular coordinates to polar coordinates with r > 0 and 0 ≤ θ < 2π. 18 , 18 (r, θ) = http://www.webassign.net/web/Student/Assignment-Responses/last?dep=12088938 8/10 11/30/2015 Optional Assignment 01 (8.1) 12.–/1 pointsSPreCalc7 8.1.042. Convert the rectangular coordinates to polar coordinates with r > 0 and 0 ≤ θ < 2π. (1, −8) (r, θ) = 13.–/1 pointsSPreCalc7 8.1.045. Convert the equation to polar form. (Use variables r and θ as needed.) x=y 14.–/1 pointsSPreCalc7 8.1.050. Convert the equation to polar form. (Use variables r and θ as needed.) x2 − y2 = 7 15.–/1 pointsSPreCalc7 8.1.051. Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r=6 http://www.webassign.net/web/Student/Assignment-Responses/last?dep=12088938 9/10 11/30/2015 Optional Assignment 01 (8.1) 16.–/1 pointsSPreCalc7 8.1.054. Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) θ = 3π 17.–/1 pointsSPreCalc7 8.1.062. Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 3 − cos(θ) 18.0/1 points | Previous AnswersSPreCalc7 8.1.064. Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r= 2 1 + sin(θ) x+y http://www.webassign.net/web/Student/Assignment-Responses/last?dep=12088938 10/10 1.-/1 pointsSPreCalc7 8.1.001. We can describe the location of a point in the plane using different ---Select--- systems. The point P shown in the figure has (x, y) = rectangular coordinates ). The same point can be described using polar coordinates. Assuming (r, 0) = r>0 and 0 0 < 27, the point P has polar coordinates y 1 • P х Need Help? Read It
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