Write a polar equation of the form r cos(0 – 0,) = ro for the line x - y = v2. %3D

Q: Evaluate e-y dy da by converting to polar coordinates.

A: Given: ∫-22∫04-x2e-x2-y2dydx We want to evaluate above integral by using polar coordinates

Q: sketch X=y in Polar with writing a of r and 0 Values.

A: Please rate,   Here value of r doesn't depend on the value of Theta.

Q: Write a polar equation of the form r sin(0 – 0,) = ro for the line 2/3 x+2y = 1. %3D

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Q: Convert the given Cartesian equation to a polar equation. (Use the following as necessary: r and 0.)…

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Q: Find a polar equation that has the ame graph as the equation in x and y: ²-y² = 4

A: Given query is to find the polar equation.

Q: r = cos(0/7) %D

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Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 < 0 <…

A: To convert Cartesian equation into polar equation , put x=rcosθ, y=rsinθ in y=3x3 ⇒rsinθ=3 ×rcosθ3…

Q: Find the slope of the polar curve at the indicated point. TT 7) r = 5 cos 30, 0 =

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Q: Find a polar equation for x? + y² = 2

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Q: Evaluate the polar coordinate E( 4r² cos 0 rdrd@.

A: I have stated the used formulas in the solution

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: Convert the given Cartesian equation into a polar equation. x² + y? = 2x + 3y Select the correct…

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Q: Sketch the polar equation r = 5cos20 for – and upload your sketch. Mark scales on both x- and…

A: We have to sketch the polar equation r=5cos2θ  for -π2≤θ≤π2.

Q: find a polar equation for the curve represented by the given cartesian equation 5x^2 +y^2 = 8x (r is…

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Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines y = -5

A: We need to find the equation in polar form for the given line

Q: Find the angle α between the polar curves r1=eθ and r2=e−θ at the point of intersection.

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Q: Find a polar equation in the form r cos (0 - 0) = ro for the line x = - 12.

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Q: convert to an equation in polar coordinates of the form r = f (θ ).  ln x = 1

A: Polar coordinates are the coordinates in 2-Dimensional plane where x coordinate gives us the…

Q: Convert the Cartesian equation x² + y² -2x= 0 to a polar equation. x2 + y2 -2x 0= O 2=-2 cos e Or= 2…

A: Given artesian equation,x2+y2-2x=0Put…

Q: Show that the polar equation for x2/a2 + y2/b2 = 1 is                                           r2 =…

A: Plug x=rcosθ and y=rsinθ

Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² - 4x=0 O A. r cos²0=4 sin…

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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: 1. Change to polar form, then evaluate: -x-1 х — у dydx V1-x² /x² + y² -1

A: Solution is given below..

Q: Find a polar equation for the curve represented by x2 + y2 = 8cx, where c is a constant.

A: The given equation is x2 + y2 = 8cx   Known fact x=rcosθy=rsinθ

Q: Convert the given Cartesian equation into a polar equation. x2-y2=2x+3y

A: Given query is to convert Cartesian equation to polar equation.

Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines √2 x +√2 y = 6

A: Given equation of the line is 2x+2y=6 To change the equation of line to polar equation, we use…

Q: Find a polar equation for the curve represented by xy = 4.

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Q: Write a polar equation of the form r cos(0 – 0,) = ro for the line 3 x- y = 2.

A: Given: To find the polar equation of the form r cosθ-θ0 =r0 for the line 3x-y = 2.

Q: A polar equation is given. r = 20/12, os 0 < 41 (a) Express the polar equation in parametric form.…

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Q: Write a polar equation of the form r sin(0-00) = ro for the line 3 x + y 1. 2mark dentify and draw…

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Q: Graph the polar curve r = 2+4 cos 0

A: To graph the given polar curve Given polar curve is r = 2+4cosθ

Q: convert to an equation in polar coordinates of the form r = f (θ ).  e√x2+y2 = 1

A: Here given as ex2+y2=1orx2+y2=log 1x2+y2=0squaring both sidex2+y2=0

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: Convert the polar equation to rectangular form and sketch its graph. r 9 Sin(@) y y 0.8 0.6 0.4 0.2…

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Q: Convert the polar equation to a rectangular equation. r= 3 cos 0+6 sin 0 O A. 3x+6y 0 O B. x+y 6x +…

A: Recall: Convert form Polar to Rectangular:      x= r cosθ and   y= r sinθ ⇒r2=x2+y2   and  tanθ=yx

Q: xy = 1

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Q: Transform the polar equation T - 6 csc 0 to an equation in I and y.

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Q: Convert the polar equation r- 3 cosa 5 sin A in Cartesian equation form. )x² + y² - 3x = 5y 1- 3x =…

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Q: Convert the point Cr,e)f from polar to nectangular COordinates (xx) 5T 3. ब्लज( कथावक 2)(a,)

A: To convert the given point from its polar form to rectangular form

Q: Sketch the graph of the polar equation.r = e2θ, θ ≥ 0 (logarithmic spiral)

A: Consider the given polar curve to be r=e2θ, θ≥0.

Q: Convert x=3y+1 into a polar equation.

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Q: Write a polar equation of the form r sin(0 – 0,) = r, for the line x + y = v2.

A: Given given is, x+y=2 To write this line as polar equation of the form r sinθ-θ0=r0 In polar…

Q: Convert the given Cartesian equation into a polar equation. a² +y? - 2x + 3y %3D Select the correct…

A: Put x=rcos thetha and y=rain they ha to get polar equations

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: Replace the Cartesian equation with an equivalent polar equation. xy = 1

A: Consider the equation  xy=1

Q: Find the polar coordinates of the point with r> 0 and 0 < 0 < 2n. (r, 0) = 2 2 3 4

A: From the Figure it is clear that the value of r is 4 because it lies on the fourth circle.

Q: onvert the given Cartesian equation to a polar equation. (Use the following as necessary: r and 0.)…

A: Explanation and solutions is given below.....

Q: Find the length of the polar curve r = 5°; 0 <e< 2n

A: Given ,r=5θdifferentiate w.r.t.θdrdθ=5θ.ln(5)Weknow that length of the curve…

Q: Sketch a graph of the polar equation r2 = 4 cos 2

A: Given:       r2=4 cos2θ First, notice that             r2=4 cos2θ⇒4 cos2θ=2cos2θ Applying following…

Q: Write a polar equation of the formr cos(0 – 0) = ro for the line x - V3y = 2.

A: We have to solve given problem: