Convert the polar equation to rectangular form and sketch its graph. r 9 Sin(@) y y 0.8 0.6 0.4 0.2 -0.4 0.2 0.2 0.4 60 40 20 80 60 40 20 20 40 20 Need Help? Read Vach

Q: Replace the polar equation r= sin 0-3 cos 0 with an equivalent Cartesian equation. Then identify the…

A: We have to find form

Q: Convert the rectangular equation to polar form and sketch its graph. y = 5 A/2 A/2 6 10- 4 6 3 4 2 1…

A: The relation between rectangular and polar coordinates are: x=rcosθy=rsinθ then  rsinθ=5r=5cosec θ…

Q: 2 Rewrite the Cartesian equation y = 6x² as a polar equation. r(0) Enter theta for 0 if needed.

A: To Convrt Cartesian from topolar form use the following           x=r Cosθ           y=r Sinθ

Q: e-(2²+y²) dydI. Use polar coordinates to calculate Le) dydr.

A: In this question, we use the polar coordinate to evaluate the integral ∫-∞∞∫-∞∞e-x2-y2dydxwe…

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r= 3 +…

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Q: Convert the Cartesian equation to a polar equation that expresses r in terms of 0. (x-6) +y? = 36…

A: The given cartesian equation is: x-62+y2=36 The cartesian coordinates in terms of polar coordinates…

Q: 3) Write the polar equations of a) The negative X axis b) The line Y = X

A: Rectangle form to polar form Let (x,y) be a point in rectangular form then x=rcosθ and y=rsinθ…

Q: Find the lengths of the curves given by the polar coordinate equations r = 8 sin3 (θ/3), 0≤ θ ≤ π/4

A: Given data: The polar coordinate equation is r=8 sin3(θ/3). *The limit of the function is 0≤ θ ≤…

Q: The letters r and0 represent polar coordinates. Write the given equation using rectangular…

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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: The equivalent Cartesian equation of the polar equation r = tan0sec0 is: A) y = x. B) y= x2. C) ху —…

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Q: A (4, 270°) (ounter= 909 120° 60° 150° 3.0° 180 0° 210° 330° 240° 300° 270°

A: We have to find the other  three coordinates.

Q: =2x さ t. %3D

A: Given - Equation x2+y22=2xy To do- Change the given  equation into polar form.

Q: Rewrite the Cartesian equation x +y = 4 as a polar equation. Tip r(0) = %3D Enter theta for 0 if…

A: Given , x + y=4 We need to convert cartesian equation to polar equation Taking x=rcosθ and y =rsinθ…

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

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

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Q: Convert the polar equation to rectangular form and sketch its graph. r= 9 sin(e) y 0.8 4 0.6 2 X -5…

A: We can solve the problem by just obtaining the rectangular form of the equation.

Q: Convert the polar equation r 2 cos 0 to rectangular form. O g2 + y? 2 x2 + y ? = 2x x² + y? = 2x

A: solution:-r=2cosθconversion equationspolar to rectangularx=r cosθx=r sinθr=x2+y2

Q: ii) Convert the following polar equation into Cartesian coordinates equation: p csc e = 5 cos 0 – 6

A: Consider the polar equation r3cscθ=5cosθ-6

Q: The polar equation r cos0 = 3 represents: (a) Cardioid (b) Vertical line (C)Horizontal line (d)…

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Q: Convert the polar equation to rectangular form and sketch its graph. (Select the correct graph.) r =…

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Q: Find a polar equation corresponding to the given rectangular equation. y= 15 1 sec(0) r= 15csc(0) r=…

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Q: Convert the ordered pair in rectangular coordinates to polar coordinates with r<0 and 0<0<2n. Give…

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Q: Convert the equation from rectangular to polar form. (Use the following as necessary: r and 0.) x² +…

A: The rectangular equation is given by x2+y2 = 5y To evaluate : The polar equation corresponding to…

Q: Change the following polar equations to rectangular form. Show work 6. 2. r = 13. r= 5cos0 4-cose…

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Q: Convert the rectangular equation to polar form 2² + y? = 64 O the. r = 8 . O b. r 8 cos 0 Oc.r 64 O…

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Q: Convert the following equation to polar coordinates. x= 2y2 The polar form of x = 2y2 is (Type an…

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Q: Replace the polar equation r= with an equivalent Cartesian equation. Then identify the graph. sin 0…

A: Given polar equation is : r=5sinθ-3cosθ To replace polar equation into cartesian equation.

Q: Convert the polar equation to rectangular form. r = 5 cos 2?

A: r=5cos2θ

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 3 +…

A: Given : Polar equation r = 3 + cosθ   To find : Convert the given polar equation to rectangular…

Q: The graph shown below is described by which of the following polar equations? 40 7 4 -4 Or= 5+5 sin…

A: Given the graph is

Q: Select the correct answer from each drop-down menu. 2+y2=25 is written in polar form as e = 225° is…

A: see below the answer and calculation

Q: Convert the given equation below into polar coordinates 5x =2 – xy. 4x2 + 4y² Choose the correct…

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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: Rewrite the Cartesian equation z = 3 as a polar equation. r(8) = Enter theta for e if needed.

A: The value is:-

Q: Rewrite the Cartesian equation y = 5a as a polar equation. r(0) = Enter theta for 0 if needed.

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Q: Convert the polar coordinates below into rectangular coordinates. (4. S ) 5л

A: Given: The polar coordinates of a point as 4,5π4, To determine: The rectangular coordinates…

Q: Convert the rectangular equation to polar form and sketch its graph. y = 9 r 5 csc(@) n/2 a/2 2.0 15…

A: Using the rectangular to polar formula we get: x=r·cos(θ) and y=r·sin(θ)Using that we…

Q: The polar equation for the curve whose rectangu (a)rcos@sine =4 8. (b)r = sin 28 (c) =

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Q: Convert the following equation to polar coordinates. x= 10y? The polar form of x = 10y² is (Type an…

A: The solution is :

Q: Rewrite the Cartesian equation z – 4 as a polar equation. r(0) Enter theta for 0 if needed.

A: We will use the formula

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 z +y = 36 to a polar equation. %3D Which of the following is the correct polar equation? Or…

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Q: 1) (a) Circle ONE of the below equations and convert it from either polar to rectangular or…

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Q: Rewrite the Cartesian equation x = 5 as a polar equation. r(0) = Enter theta for 0 if needed.…

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Q: Which of the following equations in polar coordinates represents a 4-petal rose Select one: O a.…

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Q: Rewrite the Cartesian equation y = 7x as a polar equation. r(0) =| Enter theta for 0 if needed.

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