Find dy/dr and the slopes of the tang ent lines shown on the graph of the polar equation r = 2+3 sin 0. (2, 1) 2 3 5, eIN +

Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

A: Given  equation r=2+3sinθwe have…

Q: The transform curve of polar equation r 4 cos@+4 sin e to rectangular coordinates (x-2)° – y² = 8…

A: Given that: r=4cosθ+4sinθ

Q: Find an equation in x and y that has the same graph as the polar equation r- sin 0 = 0 and graph on…

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Q: 47. Show that every line that does not pass through the origin has a polar equation of the form sin…

A: Let's understand the relationship between polar coordinates and Cartesian coordinates. Please see…

Q: Graph the family of polar equations r = 1 + c sin 2u for c = 0.3, 0.6, 1, 1.5, and 2. How does the…

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Q: Find the points of horizontal and vertical tangency to the polar curve               r = 1 − sin

A: Consider the given polar curve: Here the objective is to find the point of horizontal and vertical…

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 the slope of the tangent line to the polar curve r= cos( =: os(20) when 0 3

A: Given: Equation of the polar curve   r = cos(2θ)       To determine: The slope of the tangent line…

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

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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: 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 line tangent to the polar curve at the given point. 11n r= 4 sin e; - 2,-

A: Given,            r=4sinθ ; -2,11π6

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

A: Let's find.

Q: Match the graph with its polar equation. r = 2 sin(0) A/2 л/2 4 2 2 4 A/2 3- A/2 2 -1 2 - 2 -1 1 2

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

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. Any point in…

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: 3. Consider the curves given by the polar equations r = 2 and r = 4 cos 0.

A: r = 2 r = 4 cosϴ

Q: Determine the points at which the limacon defined by the polar equation r = 3+ 2 sin 0 has…

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Q: 1. Let r(0) = 2sin(0) + cos(Ⓒ) be the polar definition of a planar curve. Find, in standard x-y…

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Q: Sketch a graph of the polar equation r = 3 sin 2 and find the tangent line(s) at the pole (if any).

A: We have to sketch a graph of the polar equation r=3sin2θand then we have to find the tangent line(s)…

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

A: Polar curve is

Q: Consider the curves: r = 4sin 0 and r = 2 sin(0) + 2cos (8). a) Sketch a graph of both curves on the…

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

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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 tangent line to the polar curve at the point:

A: From the given expression we find

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: compute the length of the polar curve. r =√1 + sin 2θ for 0 ≤ θ ≤ π/4

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Q: r 1 1 sing at Ø 元-6

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Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

A: Given:

Q: 1. Transform the polar equation 4 cos 0 cos² 0 + 1 into its Cartesian form and identify the curve.

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Q: 2) Sketch the graph of the curve with the polar equation: r=2- sin(20).

A: The given polar equation is r=2-sin2θ. Draw the graph of the given polar equation in detail.

Q: Sketch the polar curves r= 9 sin 0 and r 4-9 sin 0. Indicate the co- ordinates of all r and y…

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Q: The curve (x-)*+Cy +1)*= 4, x 7,1 is given. First draw it in the Cartesian plore and then transtorm…

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Q: 8 sin ( *(4) in the interval 0 < 0< . Calculate the length of the polar curve r =

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

A: Given,  r=9+2 cosθ

Q: 1 Sketch the curve r=-+sin0 cos 0 ,0 < 0<2n in the polar plane.

A: Any point on the Cartesian coordinate system is represented as x, y. Any point on the polar…

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: 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: 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: 2.Make a sketch of the following polar equation: r = 2 +4 sin 0 (r, 0). Determine also the tangent…

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

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Q: Match the graph with its polar equation. r = 2 sin(0) A/2 A/2 4 2 -2 2 4 - 2 2 - 4 A/2 3| л/2 2 1 1…

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