Into polar coc x2 + y² = 3x %3D

Q: Find the solutiTon of followina ordfnarg differentral equation -2x

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Q: Find the area under the polar curve r = cos(0) – sin(0) between the lines 0 = 0 and 0 = 4 5.

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Q: 1. Change L xy dydx to polar form.

A: Two common coordinate systems used to represent a point in the plane are cartesian coordinate system…

Q: Transform y = V3'x into polar form.

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Q: 4–x2 Sở SY dy dx using polar Evaluate 2x-x2 Coordinates.

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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: 1. 2. (D² -3D+2)y=sine-*

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Q: By using polar coordinate method, solve the double integral: 1-x x² + y? dy dx

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Q: is If У%3D2х arccos x - 2/1-х? then dx

A: We differentiate both sides with respect to x and then solve it.

Q: Integrate by changing to polar coordinates. (4 - x2 tan V 4 -1(Y) dy dx

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Q: Find the arc length of the asteroid x2/3 + y2/3 = 32/3.

A: Given curve is

Q: Differentiate.

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Q: What is y2 = 3x in polar form? r = 3 sin 0 sin 0 O Option 4 r = 3 csc 0 cote Option 2 r = 3 sin 0 -…

A: Given y2=3xTo find polar form:

Q: Find a Cartesian equation from the polar curve 4r sin 0 = 18(rcos 0) +14 1S is

A: Given polar equation is 4rsinθ=18rcosθ2+14  .....1

Q: xcos²ydx + tanydy = 0

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Q: Find y': y arcsin Oy =-- %3D Oy = - zV-9 %3D Oy = %3D zV-9 %3D -69

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Q: The polar equation 9 cos 0 + 2 sin 0 = X + 1 9x + 2y 1 9y + 2x = 1 9x + 2y = x² + y² || || 1 - r in…

A: To find  the cartesian form of the given polar equation.

Q: Find the slope of the polar curve r= e® at 0 = n/3.

A: Given:

Q: Graph the polar curve r = e® for 0< 0 < n.

A: The given polar curve is,

Q: Find the area inside the polar curve of r = 1+2 sine but outside the smaller loop.

A: Consider the graph: Consider the curve:

Q: 1. Change ſ, Lz xy dydx to polar form. 4-x2

A: We will answer the first question as we don't answer multiple question at a time. Please resubmit…

Q: Replace the Cartesian equation x² + y² equation. OA) r sin² 0 = 4 cos 0 B) r = 4 sin 0 Oc) r = 4 cos…

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Q: Given two polar curves r=2 cos 20 and r =1 as in Figure 1. Find the area of the shaded region by…

A: Solution...

Q: Find the area of the inner loop of the limacon with polar equation r = 5 cos 0 – 2 y (음) = COS

A: We have to find the area of the inner loop of the limacon with the polar equation r=5cosθ-2. with…

Q: y = 3 Arccos ( 1 -)+ v6x – x² %3D 3

A: To find the first derivative of y=3 arccos1-x3+6x-x2, use the sum rule of differentiation,…

Q: y у +4у%3D 16t cos 2t

A: We have to solve the differential equation…

Q: 3. x = cos³ 0, y = sin 0 4

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Q: = Replace the polar equation 8r cos 0 + 9r sin 0 Cartesian equation. OA) 8x +9y = 1 B) 8y + 9x = 1…

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Q: 1.5 3-X Evaluate the integral *dy dx using polar coordinate

A: Follow the procedure given below.

Q: 2. Express in true polar form, z 5(cos 55°-j sin 55°)

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Q: *+ xx + x = 0 has a centre at the origin. %3D

A: Given: x.. +xx.+x3=0

Q: •5 25-x2 Evaluate (x² + y? )° dy dx by converting to polar coordinates.

A: To evaluate the integral using polar coordinates

Q: cos³ 4y /sin 4y dy

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Q: Consider the polar curve r=2sin(30) for 0s0sn.

A: Given polar curve is r=2sin3θ for 0≤θ≤πfind the area of the region inside the curve

Q: 2y )dx - (x +3 cos y)dy around the parallelogram havi - 6

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Q: Sketch in Polar X =-Jy %D

A: This can be done by the equations for cartesian to polar conversion which is derived in step 2.

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: (d) Differentiate arctan(3v) arcsin(7v) + v² g(v) = In %3D

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Q: aluate the dnd to polar

A: Given that, ∫0a∫02a-x2xx2+y2dxdy Take x=rcosθ, y=rsinθ where 0≤θ≤2π.

Q: 44. The furthest point from the pole to the polar curve r = 2+ V2 sin 0 occurs when 0 = A. в о C 2

A: Answer

Q: Q1 Find the points of intersection of the polar curves rcos and 2-cos 0-r=0

A: The value of the cosine function  cos0=1cosπ6=32cosπ4=12cosπ3=12cosπ2=0cosπ=-1cos3π=-1cos2π=1

Q: 2 y = cos( x 4

A: answer is in next step

Q: Give an example of two polar equations, r1(0) and r2(0), whose graphs intersect in at least two…

A: According to the given information, it is required to give an example of two polar equation whose…

Q: 3) Use polar coordinate to evaluate S'S_√x² + y² dxdy.

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Q: Find y' and y'". y=cos(xsin3x)

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Q: 2. Evaluate Vr2 + y? dy dx by switching to polar coordinates.

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Q: Plot the polar curve r=2(1–cos0) in interval

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Q: Trace the curve: r = 2+3 cos 0.

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Q: Change to polar integral 1 -(2²+y?) dydx e 0 -/1-2?

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