Find the polar equations of ALL the tangent lines to r = sin (30) at the origin.

Q: ) Write the equation r2+r(sin 0-6 cos 0) = 0 in Cartesian coordinates and identify the corresponding…

A: Solution is given below:

Q: Find the slope of the tangent line to polar curve r = 7 cos 0 at the point

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Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

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

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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: 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 the equation of the tangent line(s) to the following set of parametric equations at the given…

A: The equation of a line can be obtained by using the expression y-y1=m(x-x1). Here, m is the slope of…

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: 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 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: Consider the polar curves C1 : r = −3 sin(2θ) and C2 : r = 3 sin θ. 1. What is the equation of the…

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Q: Find the slope of the tangent line to the given polar curve: r = 2 - sin(theta), at theta = (pi/3)…

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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: determine the slope of the tangent line to the polar curve r = 1+3 cos(20) at 0 6

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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: 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: Find the slope of the tangent line to polar curve r = 6 – 9 sin 0 at the point (6-

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Q: Find an equation of the tangent line for.10 a curve defined by the following parametric equations

A: Given, x=t3-4t2+4t+3 , y=t+3

Q: Find the equation of the tangent line(s) to the following set of parametric equations at the given…

A: We have to find the equation of tangent from the parametric curve

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

A: The given polar curve is r=5+4cosθ

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

A: We use the slope of the tangent line of a curve y=f(x) to answer the given question.

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: 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: Sketch the curve r= cos 20

A: Let us make a table for the given function θ 0 π/4 π/2 3π/4 π 5π/4 3π/2 7π/4 2π r 1 0 -1 0 1 0…

Q: Find the slope of the tangent line to the graphof the polar equation 1 r = at Ø= 1-sinø 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: The derivative Z of the parametric equations z= 7 sin 3t and y= cos 3t is.

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Q: Find the slope of the tangent line to the polar curve at the given value of the parameter. r=3cos0 +…

A: This is a problem related to derivation. Since polar curve is given we will use the cartesian…

Q: The x- intercept of the tangent line to the polar curve r=3(1+sin 0) at 0=" 프 is

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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: The objective is to find the slope of the tangent line to the given polar curve at the point…

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

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Q: determine the slope of the tangent line to the polar curve r = 3 + 8 sin 0 at 0 =

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Q: Find all points on the polar curve r = 1 − (1/√2)sin(θ) where there is a horizontal tangent.

A: Here we have to find all points on the polar curve r= 1- (1/√2)sin(θ) where there is a horizontal…

Q: Find parametric equations for the tangent line to the curve of intersection of the following two…

A: We have to find parametric equations for the tangent line to the curve of intersection of the given…

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: Find the equation in xx and yy for the line tangent to the curve in polar coordinates…

A: Given that, the value of r=5+cos2θ and θ=π3. rθθ=π3=5+cos2π3=5+-12=92 Note that, the equation of the…

Q: Find the slope of the tangent line to the polar curve r = sin(20) at 0 =

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

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Q: Determine the Cartesian equation of the tangent line to C1 at the point where 0 = π/2. Given: polar…

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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 and

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

A: The given polar curve is,

Q: Find the slope of the tangent line to the polar curve r= cos0 at 0 = T|6

A: Given data : r=cosθ  at  θ=π6

Q: Sketch the curve r= cos 2θ

A: Symmetric test for polar coordinates r=f(θ): If f(θ)=f(-θ) then graph is symmetric about polar…

Q: Find the polar coordinates on the curve where the tangent line is vertical r=tantheta-1

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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: Sketch the graph and the curve represented by x = 3 cos 0 and y = 4 sin 0 ,0 < 0 < 2n by eliminating…

A: The given parametric equation,      x=3cos θ and y=4sin θ, 0≤θ≤2π

Q: 63. r 3D 2 соs 0, Ө — п/3

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Q: Find the slope of the tangent line to the polar curve r = 2sinθ +1 at θ= π/4 and then find its…

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