Sketch the curve with the given polar equation. r = 1+2 cos 0 7/2 Зп /4 T/4 2 4 57/4 77/4

Q: r = 2 cos 0,

A: To find the exact length of the polar curve.

Q: (b) Use appropriate software to sketch the following polar curves i) r = cos(7.10) + cos² (0) ii) =…

A: A polar coordinate system contains a reference point and a reference direction. The reference point…

Q: Find the exact length of the polar curve. r=(theta)2, 0 (less than or equal to) theta (less than or…

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Q: Find the length of the polar curve: r = cos 0, where 0 < 0 < 2n.

A: We need to find the length of the polar curve

Q: Find the length of the spiraling polar curve r = - 7e60 from 0 to 27. Length) =

A: Given polar curve  r=-7e6θ            0≤θ≤2π Arec length L=∫abr2+drdθ2 dθ

Q: Which of the following shows the correct sketch of the polar curve r= 10 sin(3 0)? 10 5 -10 -5 5 10…

A: We solve it by following method.

Q: Find the exact length of the polar curve. r= e40

A: Given r=e4θ=f(θ)f'(θ)=drdθ=4e4θL=∫02πe2*4θ+(4*e4θ)2dθ   =∫e8θ+16e8θdθ

Q: r = 5°, 0<0<2n

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Q: Find the exact length of the polar curve described by: r = 5e 7 on the interval 2 0.000118

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Q: find the exact length of the polar curve r = θ2,    0 ≤ θ ≤ 2π

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Q: Consider the polar curves C₁ : r = 2 cos 0 and C2 : r = 2 cos 30, and let R be the shaded region as…

A: Given: C1:r=2cosθC2:r=2cos3θ To find: Area of the region

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

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Q: 10.4

A: Given

Q: Sketch the curve with polar equation r = 2 cos0

A: We first make a table of values θ 0 π/4 π/2 3π/4 π r 2 1.41 0 -1.41 -2

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

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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: Find the exact length of the polar curve. = 02, 0<0 s T/2

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

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Q: Find a polar equation in the form r cos (0-0) = ro for the line 2/2x+2/2 y = 16.

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Q: Find the exact length of the polar curve. r = e20, 0<0< 27

A: Follow the next step

Q: Sketch the curve with the given polar equation, and find its Cartesian equation. 1 1-cos e

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Q: Find the exact length of the polar curve described by: r = 8e 3 on the interval a <o< 9n. 2"

A: The length of a polar curve r=fθ in the interval α≤θ≤β is given by L=∫αβfθ2+f'θ2dθ. The given curve…

Q: Find the exact length of the polar curve. r = e20, o < 0 < 2n

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Q: Sketch the polar curve defined by the equation r =1+2cos(3t).

A: We will sketch the polar curve by finding the value of ' r ' for different ' t ', t varies from 0 to…

Q: 9. Sketch the polar curve.r= 2 cos 2 0 ||

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Q: Find the exact length of the polar curve. r = e80, 0 < 0 < 2n

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Q: Find the exact length of the polar curve described by: r = 5e-0 %3D 7 on the interval

A: The given function is r=5e-θ, where  7π2≤θ≤6π. The length of the polar curve is obtained by the…

Q: Find the exact length of the polar curve described by: 0 r = 4e 5 on the interval 6 ≤0 ≤ 6.

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Q: Find the exact length of the polar curve described by: r = 2e-0 on the interval 7 6" π ≤ 0 ≤ 9π.

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Q: Draw the polar curve to ((x-3)2/32) - (y2/32) = 1

A: We have to draw the polar curves to x-3232-y232=1.

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ…

A: We need to sketch the curve with the given polar equation by first sketching the graph of r as a…

Q: Find the equation of the line tangent to the polar curve at the point. r= 2cos(θ/ 3),  θ =π/4

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Q: Find the exact length of the polar curve described by: r = 9e-0 5 on the interval -T <O<67. 6

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Q: find the slope of the tangent line to the polar curve at the point:

A: From the given expression we find

Q: Determine the exact length of the polar curve r 3 sin for 0≤0 ≤T. =

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Q: Find the exact length of the polar curve. = 02, 0s0 < T/2

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Q: Find the exact length of the polar curve described by: T= 3e-8 on the Interval TSOS 9n.

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Q: Find the exact length of the polar curve. r = 02, 0 <0 < 7r/4

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Q: Find the exact length of the polar curve described by: r = 5e-0 1 on the interval T <o< 9n. 10

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Q: Find the exact length of the polar curve. r- e88, ose s 2n

A: The arc length of a polar curve r = f(θ) between θ=a and θ=b is given by the integral L=∫abr2+drdθ2…

Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of 0…

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Q: Sketch the polar curve with the given equation "= -4 cos 0, - TSOST.

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Q: What is the exact length of the polar curve 1 = 3 cos 0, 0 O<T?

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Q: Find the length of the curve over the given interval. Polar Equation Interval r = 8a cos 0 16 16.

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Q: A curve in polar coordinates is given by: r= 8+2 cos 0. %3D

A: Given r=8+2cosθ and  P is a point at (r, θ) with θ=18π16=9π8 (a)  to find the  r coordinate of point…

Q: Find a polar equation for the curve represented by z +² = 8cz, where e is a constant.

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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:

Q: Find the exact length of the polar curve described by: r = 7e-0 3 on the interval 10

A: r=7e-θ,    310π≤θ≤6π Differentiating with respect to θ, we get drdθ=7-e-θ=-7e-θ

Q: Show that the polar equation for the curve with Cartesian equation x² – y² = 1 is r? = sec 20.4

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