Which of the following polar equations describes a circle centered at (2, 3) with radius? (A) r 4 cos(0) + 3 sin() (B) - (F) r = 4 cos() (G) ri = 52₂ cos() (C)r - 3 sin() (D) r3 cos(8) + 4 sin(8) (E) r sin(0)

Q: The relationship between rectangular coordinates (x, y) and polar coordinates [r, 0] can be…

A: According to question,Given equations,x = r cos θ,y = r sin θ,r = x2 + y2tan θ = yx

Q: The transform curve of polar equation r 4 cos@+4 sin e to rectangular coordinates (x-2)° – y² = 8…

A: Given that: r=4cosθ+4sinθ

Q: (a) Sketch the curve C1 with polar equation r 2 sin 0. (b) Let C2 be the curve with polar equation r…

A: We have to sketch the curve C1 with a polar equation r=2sinθ. Also, find the intersection points of…

Q: 57 7. (a) The polar coordinates of a point are 4, Find the Cartesian coordinates of the point. 6.…

A:

Q: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

A: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

Q: 6) Graph in polar coordinates r = 1+ cos 8.

A: We have to plot the graph of the given function in polar co-ordinate.

Q: Convert to polar coordinates withr2 0 and 0 < 0 < 27. (3, 0) (г, Ө) —

A:

Q: B/Test the symmetric of polar equations: 1- r= 1+5 cos 0 2- r= 3 sin 0

A:

Q: A family of curves has polar equations  ra  =  ∣ sin 2θ∣ where a is a positive number. Investigate…

A: The equation of the family of curves is ra=sin2θ, where a is a positive number. We need to visualize…

Q: Q1 Find all the points of intersections of the curves r = 1+cos0 and r=1+sin r-1+(8) r=1+1)

A:

Q: Plot the point given in polar coordinates. (4) 57 0, 2r 3 3m 0, 2r 3 Find four additional polar…

A: We have to write polar coordinate:

Q: 3. Consider the curve C of equation 4ry r² + y²" Among the options indicated, select the one that…

A:

Q: Shown below is a graph of a line in the Cartesian plane. What corresponding polar equation? 2 -1 -1…

A: As we know that; The intercept form of equation of a line; xa+yb=1 Where; The x-intercept is at a,0…

Q: 3 plot the polar graph r=2(1-sino) %3D

A: Given : Graph = 2 (1-sinθ)

Q: Replace the polar equation 1 1 r = 1– sin 0 1+ sin 0 with an equivalent Cartesian equation. Choose…

A:

Q: Choose the graph of the polar equation “ r=1+cos 0" .

A:

Q: Find the polar equation for the Cartesian curve x² = Or= Or T = Or= Ora 1 Or= -tan 0 2 1 2 1 sin 0…

A:

Q: Given polar curve r = −6 sin(θ) do the following. (a) Find the Cartesian equation for this curve.…

A:

Q: Find a Cartesian equation for the curve represented by the given Polar equation. (a) r = -2 (b) T =…

A: We have polar form equationWe have to convert it in cartesian form

Q: There are 6 points on the curve r= cos(20) where it has horizontal tangents. 2 of these can be found…

A: The given polar curve is and it has horizontal tangents,Find the points where the curve has…

Q: he polar equation for circle x^2+(y- 3)^2 =9

A:

Q: Replace the polar equation given with its equivalent Cartesian form and describe the graph. a) r…

A:

Q: Use De Moivre's Theorem to solve for z and leave your answer in polar form with the angle in radians…

A: If z=rcosθ+isinθ then the nth root is zn=rncosθ+2πkn+isinθ+2πkn and if z=a+ib then r=a2+b2 and…

Q: Q1// Converting r= 12 cos 0 from polar to the equation of a circle?

A: Solution is given below:

Q: Q1// Converting r= 12 cos 0 r = 12 cos 0 from polar to the equation of a circle?

A: Given problem:- Converting r = 12cos(θ) from polar to the equation of a circle?

Q: 13. r²=a² sin 20 r = a(l+cos 8) rsin 0=3 r=4 cos 30 P= How many of these 5 equations in polar form…

A: