Expert answer:Need math help with Polar coordinates

Answer & Explanation:QUESTION 1 IN JPG OTHER QUESTIONS ARE PDFpolar_coordinates.2_10.pdf
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polar_coordinates.2_10.pdf

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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) =
.
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Optional Assignment 01 (8.1)
3. –/1 pointsSPreCalc7 8.1.008.
Plot the point that has the given polar coordinates.
5, − 2π
3
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Optional Assignment 01 (8.1)
4. –/1 pointsSPreCalc7 8.1.010.
Plot the point that has the given polar coordinates.
−5, −17π
6
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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.
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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
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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) =
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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 ... Purchase answer to see full attachment

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