(2. Plot the points with polar coordinates 2, and -3, 2 using the pencil. 6. 3 3n 4 5n 6. 4. 7n 6. 5n 4. 4 Sn 3n 3 2.

Q: 3. Draw the polar curve r = 1+3 cos 30

A: THE POLAR CURVE OF THE GIVEN FUNCTION r=1+3cos3x will be,

Q: Find the exact length of the polar curve. r = 0, 0 < 0 < 37/2 12.47776

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Q: 24. Which of the following polar curves is a cardioid? A. r= cos () B. r= 2+3sin® C. r = 3– 20ose…

A: 24)      A. r=cos2θ2                                                         B)r=2+3sinθ…

Q: 61 -6 5 -4 -32 -1 2/3 4 $ 6 -2 -5 The plot above is created with the parametric equations Sa(t) = a…

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Q: solve

A: please upvote

Q: 2. 6 27 4 6 2 Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter…

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Q: Graph the family of polar equations r = 1 + c sin 2u for c = 0.3, 0.6, 1, 1.5, and 2. How does the…

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Q: 1. For the polar coordinate (r,0) = (-2,7x/6), give one coordinate rUand -2nsOs 2n.

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Q: 12/2 Use polar coordinates to evaluate dydx. 3 0. (x² + y²)²

A: To convert cartesian coordinates to polar coordinates , put x=rcosθ, y=rsinθ , dydx=rdrdθ So,…

Q: Solve the problem. Te 1) Plot the point 2, and find other polar coordinates (r, 0) of the point for…

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Q: Find the exact length of the polar curve. = 02, 02, os 0s 2A

A: Given polar curve is and

Q: 2. Given z = (22 + m) + 4i and =-6-(8+n)i. Find w and write it in polar form %3D m = 5 N = 4

A: Given: z=22+m+4i and zw=-6-8+ni To Find: Find w in the polar form if m=5,N=4

Q: Which of the following shows the correct sketch of the polar curve r = -9+ 9 sin(0)? 15 5 -15 -10 -5…

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Q: Match the graph with its polar equation. r = 2 sin(0) A/2 л/2 4 2 2 4 A/2 3- A/2 2 -1 2 - 2 -1 1 2

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Q: 11n Plot the points with polar coordinates 3, TT and using the pencil. 4 5n TE 6. 2 4 11n 6 6 5n 4.…

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Q: 3 T For the polar point -4, 4 a) Give alternate coordinates with r>0 and -2nse<0 b) Give alternate…

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Q: 1. The polar equation of the graph whose equation is x² + y2 = 25 is (A) r- 5cos 0 = 0 (B) r+5cos 0…

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Q: 37. The Cartesian equation of the polar curve 2 = 2a' sin 20 is A. 1? + y? = 4a²xy B. (z* + 3° )° =…

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Q: Which of the following points has the polar coordinates -4, 3 n/2 2n/3 R/3 3n/4 T/4 5n/6, 4 15 7n/6…

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Q: 4. Use the polar graph for the following */2 2n/3 3n/4 5n/6, 7n/6" 5a/4 71/4 4n/3 ŠR/3 3n/2 d)…

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Q: r2 = 16 cos 2θ.Test for symmetry with respect to:a. the polar axis. b. the line θ =π/2. c. the pole.

A: We have the  polar equation given as r2=16cos2θ (a) Now testing for Symmetry about polar-axis,…

Q: r = 5 + 3 cos θ.Test for symmetry with respect toa. the polar axis.b. the line θ =π/2.c. the pole.

A: Properties: For a polar equation in the form r=fθ, If fθ=f-θ then the curve is symmetric about the…

Q: Find the length of the spiraling polar curve T- 3e" From 0 to 27 . 3V 2 (10z - 1) The length is…

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Q: given in polar coordinates. (i) Create a table r(0) 0 r(0) r(0) -5m/12 76 r = 5 cos² (0/2), (-= < 0…

A: Given a function is polar coordinates rθ=5cos2θ2 where -π≤θ≤π To create a table for different values…

Q: 15 Find an equation in x and y that has the same graph as the polar equation = 4- 4cos Ø (A…

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Q: 4. 2. 4, CO Find the coordinates of the image of J (8,7) after a reflection over the x-axis. 10 2…

A: To determine the coordinate of a point obtained by the reflection in x-axis then the x-axis works as…

Q: Graph the line and conic section. r = 8/(4 + cos u)

A: Graph the line and conic section. r = 8/(4 + cos u)

Q: Find the exact length of the polar curve described by: 0 r = 4e 5 on the interval 6 ≤0 ≤ 6.

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Q: Consider the point: (т, 0) — (2.2, — т). On the graph below, drag the purple point to the location…

A: The graph the below point and also to find its equivalent polar coordination.

Q: Given the polar curves: C₁:r = 2 cos 0 ग 2 A(2,0) C2 B(0,0) C₂:r = 2 cos 30 Find the Cartesian…

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Q: 3) (a) Find the intersection points of the polar curves r = 3 + 2sin0 and r = 2

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Q: Find the exact length of the polar curve described by: r = 9e-0 5 on the interval -T <O<67. 6

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Q: ot the point given in polar coordinates. (võ, 2.36) |2r 21 nd three additional polar representations…

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Q: 2 Q3: Discuss the symmetry and plot the locus of polar equation r 1-cose

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Q: 8 Q7: The cartesian coordinates of the polar point (1.n) is (a) (-1.0) (b) (1.0) (c) (0.1) (d)…

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Q: The figure above shows the graphs of the polar curves r = 2 cos (30) and r = 2. What is the sum of…

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Q: the Image tion of theT line 2x ty -1=0 under the rotation about wんat is equati the point (i,!) angle…

A: What is the image equation of the line 2x+y-1=0 under the rotation about the point (1,1) at an angle…

Q: Find the length L of the polar curve r = 6 sin for 0 < 0 <- 2 2 OL= 12 OL= 6 OL = 6/2 OL = 12 – 6/2

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Q: 25. х? + у? 3D 4y ||

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Q: 10. LARPCALC10 10.7.011. MY NOTES ASK YOUR TEACHER Plot the point given in polar coordinates. (-7,)…

A: Consider the given point as -7, 2π3

Q: Q6: Find the Cartesian coordinates of the following points (given in polar coordinates) a- (-3,…

A: (a) Given data is : -3,5π6 To find the cartesian coordinate from the given polar form. Here…

Q: Find the length of the curve r=1+ cos 20,0s0sn /2 /2. The length of the polar curve is (Type an…

A: We will solve the problem

Q: 39 9. A curve with polar equation r = 6sin0+13cose represents a line. This line has a Cartesian…

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Q: A Find a polar equation for 1. (x - 3)2 + (y + 1)2 = 4. 2.x2 + xy + y? = 1

A: Find a polar equation for  ( x -3)2 + (y+1)2 = 4 and x2 + xy + y2 = 1. Here i provide full solution…

Q: and -5, using the pencil. Plot the points with polar coordinates 3, 3. 3n 2 11m 5Tn 4. 4T 37

A: The point can be plotted on the polar coordinate by using the following conversion: x=rcosθy=rsinθ

Q: 3.3. Show that in a polar coordinate system, the distance d between the points (r1,01) and (r2, 02)…

A: The distance between r1,θ1 and  r2,θ2 is d=r12+r22-2r1r2cos θ1-θ2

Q: The Cartesian equation of the polar curve r = 6 sin 0 is (x – 6)² + y? = 36 - (x – 3)² + y² = 9 O a?…

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Q: 6. Find the image equation of the line –2x + y + 3 = 0 under the rotation about C = (1, 1) at an…

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Q: Match the graph with its polar equation. r = 2 sin(0) A/2 A/2 4 2 -2 2 4 - 2 2 - 4 A/2 3| л/2 2 1 1…

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