Convert the given equation to the indicated form. a. Convert ? =(1)/(2 − cos(theta)) to a rectangular equation. b. Convert ?^2 + ?^2 − 8? = 0 to a polar equation

Q: 2. Convert the polar equation to rectangular coordinates. 1 r = 1+ sin 0

A:

Q: Replace the polar equation with an equivalent Cartesian equation. r 2 + 2r 2 sin θ cos θ = 576

A: Given: r2+2r2sinθ.cosθ=576 Solution: By taking common r2 we can write above equation,…

Q: What type of polar curve does the equation r^2 = 4 cos 2@ represent ?

A:

Q: Give two other polar coordinates for the point (2,pi/4). Make sure one has a positive radius and the…

A: Given, r, θ=2, π4 To find other two polar coordinates. Here,r=2 and θ=π4

Q: convert x=5y^2 to a polar equation

A:

Q: Convert the given Cartesian equation to a polar equation. (Use the following as necessary: r and ?.)…

A: We have to convert the given Cartesian equation to a polar equation.    x2 - y2 = 2x

Q: Graph and find the cartesian equation for the polar equation r2 = -6r sin 0.

A:

Q: Question in Image.

A: To convert to polar form replace:  x with r cos θ y with r sin θ   We have y = 7x + 12   r sin θ =…

Q: 1 For the given polar equation: r = 6(sin 0-cos 0) a. Write the equation in rectangular coordinates.

A:

Q: Which is the graph of the polar equation? r = 3 + 2 sin 0

A: The given polar equation is r=3+2sinθ

Q: Convert the Polar equation to a Cartesian equation and solve for y. r2 sin(0) cos(0) +r cos(0) = 2

A:

Q: 2. Convert the polar equation to rectangular form. Simplify your answer r?sec 0 = r?tan?0 sece -…

A: To convert the polar equation into rectangular form.

Q: Replace the polar equation with an equivalent Cartesian equation. r 2 + 2r 2 sin θ cos θ = 576…

A:

Q: Convert the polar equation to rectangular form 9r cos 0 + 2r sin 0 = 1

A: We will convert the polar equation into rectangular form as following.

Q: In converting r = 5 from a polar equation to a rectangular equation, describe what should be done to…

A: Given: r=5

Q: 2. Convert the polar equation to rectangular form. Simplify your answer p?sec @ = r?tan'0 sec 0 –…

A:

Q: In converting r = sinθ from a polar equation to a rectangular equation, describe what should be done…

A: r2=x2+y2x=r cosθy=r sinθ

Q: Q5\a- Replace the following polar equation by equivalent Cartesian equation and identify their…

A:

Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 4 cose 4 cose 43 r = cose Or2…

A:

Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 4]. p? = -sin 0

A: We have to replace the given polar equation with equivalent cartesian equation. r2=-sinθ

Q: Find a Cartesian equation for the curve represented by polar equation . r = 14 cos 0- 12 sin 0.

A:

Q: Convert the equation r2 = -4r cos θ from polar to cartesian.

A:

Q: 11.Convert the polar equation to rectangular form and sketch its graph. r= 4sine

A: In the question, it is mentioned to convert polar equation to rectangular form.

Q: 13. Convert the rectangular equation to polar form. 1+1=2

A: The given cartesian equation is  x2+ y2=25. We have to convert the given equation into polar form.

Q: Convert the given polar equation to a Cartesian equation. (Use the following as necessary: x and y.)…

A:

Q: The Cartesian equation, x = - 4, is equivalent to the polar equation, O. 4 cose Or2 = 4 cos e %3! I…

A:

Q: #7. Convert into polar equation form. ( 4 marks each ) a) y=5x+3

A:

Q: The equation x + y = 7 can be converted to a polar equation by replacing x with replacing y with and

A: The equation x+y=7 To convert it into polar co-ordinates

Q: x² – y = x

A: Explained below

Q: 38. r = 5 cos 0 %3D

A:

Q: If an equation fails the test for symmetry with respect to the polar axis, what can you conclude?

A: The equation has failed the symmetry test, but that does not mean that it is not symmetric with…

Q: Replace the polar equation r2 sin 20 = 2 with equivalent Carte sian equation

A: Solution   Let a general point P in polar coordinate is (r,θ) while in Cartesian it is (x,y) while…

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

A:

Q: Replace the polar equation r2 sin 20 2 with equivalent Carte sian equation

A: Given : r2sin2θ=2 We know that x=rcosθ, y=rsinθ and also sin2θ=2cosθsinθ.

Q: Transform the polar equation ?r = 5 cos(0) to an equation in a and y.

A:

Q: Convert the given Cartesian equation into an equation in terms of polar coordinates.

A: We will use this formula to convert the Cartesian equation into an equation in terms of polar…

Q: Graph the polar equation. Upload your handwritten answer on Canvas. r = 3 + 3 cos 0

A: To graph the polar equation: r=3+3cosθ

Q: 4. Rewrite the equation y =x² as a polar equation

A: Given: y=x2

Q: Convert the following polar equations to rectangular equations and sketch the polar curves. i) r=…

A: Given : (i) r= 3(1+sinθ)  (ii) r secθ=8 To find: Need to convert polar coordinates to Rectanglular…

Q: 2. Given the equation y =, covert to polar form.

A: For example  Given the equation y = 5 We know that to convert cartesian to polar, We use the…

Q: Convert the given equations into an equation in terms of polar coordinates.

A:

Q: Convert the given polar equation into an equation in terms of Cartesian coordinates.

A:

Q: Convert the Cartesian equation y = x2 + 2x into a polar equation (you should be able to simplify…

A:

Q: 5. Convert the polar equationr= cot 0 csc 60 to rectangular form.

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want any…

Q: 4. Convert the polar equation to a rectangular equation. 3

A: We have to convert the polar equation to a rectangular equation.

Q: 7. Convert the rectangular equation 3x – 4y = 5 into a polar equation.

A: The equation in rectangular coordinates is given by 3x-4y = 5 To evaluate : The equation in polar…

Q: Q2. Discuss the symmetry and plot the polar equation r 2-3 sin 0.

A: Given- r=2-3sinθ To find- The symmetry and plot the above polar equation.

Q: In converting r = sin u from a polar equation to a rectangular equation, describe what should be…

A: Given: The polar equation r=sinu To find: Rectangular equation of given polar equation.