Which of the following shows the correct sketch of the polar curve r = 9 sin(3 0)? 10 -10 5 10 -5 -10 10 5 b) -10 10 of

Q: . Which of the following is the equation of the tangent at the point 0 = 3 line to the polar curver…

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Q: 6. What is the equation of the polar curve shown? a) r = -4 sin 30 c) r = 4 cos 30 b) r = 4 sin 30…

A: Since you have asked multiple question so we will be answering only first question. Given polar…

Q: Convert the following polar equation to the Cartesian. Describe the resulting curve. r = 2 sin 0+2…

A: Here we will convert the given polar equation in cartesian form and we will describe the curve,

Q: 3. Draw the polar curve r = 3 +sin 30

A: Solution: The objective is to graph the polar curve r=3+sin(3θ)

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: Which of the following shows the correct sketch of the polar curve r= -10+ 10 sin(0)?

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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: (a) Name the polar curve r=4-4 sin O and perform all three symmetry tests for 1 ie curve.

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Q: Which of the following Polar equation represents the following Curve -2 2 (a)r = 1 – sine (b) r= 2+…

A: We need to identify the equation of the given polar curve.

Q: Find the exact length of the polar curve r=1+ cos 0

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Q: 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

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Q: (). 3 Calculate the length of the polar curve r = 8 sin' 3 in the interval 0 < 0<.

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Q: 4) Use the conversion formulas æ = r cos 0, y = r sin 0 or r2 = x² + y², tan 0 = to convert the…

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Q: Consider the polar equation defined by r = 5 cos(2 sin 6), where 0<0< 27. Determine the missing…

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Q: Find the exact length of the polar curve. r=4 sin(θ), 0<θ< π/2

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Q: Find the exact length of the polar curve. r = 3 sin(0), 0≤0 ≤ π/4

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Show that cos(18θ)=cos^3(6θ)−3cos(6θ)sin^2(6θ) and use this identity to find an equation in…

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Q: 9. Sketch the polar curves r = 5sine and r = 5 sin(30) on the same grid below.

A: The given polar curves are  r=5sin(θ)r=5sin(3θ)

Q: The equation of the polar curve above is E. r = 3 + 2 sin 0 F. r = 3 - 2 sin 0 G. r = 3+ 2 cos 0 H.…

A: From the direction of the cardioid, extending horizontally, that you…

Q: 37. The Cartesian equation of the polar curve 2 = 2a' sin 20 is A. 1? + y? = 4a²xy B. (z* + 3° )° =…

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Q: r= 1+ 2 sin e.. Roughly Sketch the polar curve

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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 described by: r = 5e-0 7 on the interval 2 0.000118

A: Exact length is 0.000118576639

Q: Show that every line that does not pass through the origin has a polar equation of the formr =…

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Q: Consider the polar equation defined by r= 5 cos(2 sin 6), where 0<0< 2x. Determine the missing…

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Q: 4. Find the exact length of the polar 2 cos os 0, 0 < 0 < T. curve r

A: Given: r=2cosθ on 0,π L=Length of Polar curve= ∫ab(r(θ))2+(r'(θ))2dθ now, r'(θ)=ddθ(2cosθ)=-2sinθ…

Q: Find dy/dr and the slopes of the tang ent lines shown on the graph of the polar equation r = 2+3 sin…

A: According to question, r = 2 + 3 sin θ

Q: a) Sketch the polar curve r: 4 cos (0).

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Q: Which of the following is the equation of the tangent line to the polar curve r = sec at the point 6…

A: Given,r=sec θ2At θ=π3,r = 23

Q: Given the polar curves: C₁:r = 2 cos 0 ग 2 A(2,0) C2 B(0,0) C₂:r = 2 cos 30 Find the Cartesian…

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Q: Find the length of the polar curve r = 7 sin e, 0 < 0s 2A . O A. 14 % O B. 21 1 С. 35я O D. None of…

A: Use the formula for the length of polar curve and substitute the given values.

Q: Find the points at which the following polar curve has a horizontal or a vertical tangent line r= 2…

A: We have r = 2 sinϴ  Take x = r cosϴ = 2 sinϴ cosϴ = sin(2ϴ)  y = r sinϴ = 2 sinϴ sinϴ = 2 sin2ϴ…

Q: 7) Find the points at which the polar curve r = 1+ cos® have horizontal or vertical tangent lines.

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Q: 5. Find the Cartesian form of the polar equation: r sin 0 = In(r cos 0)

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Q: Find the slope of the line tangent to the following polar curve at the given point. 3π r= 5-5 sin 0;…

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Q: Which of the following shows the correct sketch of the polar curve r= + 5 cos 0? 4 -6 -4 6 -4 6. b)…

A: r = -(5/2) + 5cos(theta) curve

Q: Find the polar coordinates of the points of intersection of the given curves for O se< 2n. r= sin 8,…

A: To finding intersection points we need to solve the given equation

Q: Which of the following shows the correct sketch of the polar curve r= -2 cos(3 0) for 0 <0 < ? 10 -…

A: Use Desmos graphing calculator. Option (b) is correct.

Q: Which of the following shows the correct sketch of the polar curve r = -8 + 8 sin(0)?

A: The given polar equation is: r=-8+8sin(θ)

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: Which of the following shows the correct sketch of the polar curve r= -5 cos(0)? 61

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Q: What is the polar equation of the vertical line x = 13? Choose the correct answer below. A. r= 13…

A: Given data is : x=13 What is the polar equation of the vertical line x=13

Q: Plot the following curves in polar coordinates. 1-31 7. r = 3 + 2 cos 0 8. r = √6 9. r 9 sin 0

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Q: 65. r 3D 1/0, 0 —D п

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Q: Which of the following shows the correct sketch of the polar curve r = 9 – 9 cos(0)?

A: We have to do following steps to solve it.

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: We have to find the slope of the tangent line to the polar curve  r = cosθ3 at the point θ=π.

Q: Which of the following shows the correct sketch of the polar curve r= 4 cos(3 0) for 0 <0<- 10 5 a)…

A: Given:            Polar curve   r=4cos3θ ,  0≤θ≤π2      Using the formula  r=asinnθ or r=acosnθ…

Q: Find the slope of the polar curve at the indicated point. A) V3 r = 1- sin(0), 03= 3 C) 2

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Q: 40 cos*“for 0 < 0<m

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