4. Which of the following are polar coordinates of a point on the graph of r cos 0 ? (1.5) (os%5) (A) 1, (B) (0.5) 3 (C) (1, 7) (D) (05.24) 415- 1. (E) (1. TC 4.

Q: 6. Consider the polar curve r = 1 – 2 cos(0). Find (a cartesian equation for) the tangent and - the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q7:- sketch the graph of the following polar equation. 3- r = 6 cos 6 1- 0 = 6. 5- r= 3(1- sin0) 2-…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 24. Which of the following polar curves is a cardioid? A. r= cos () B. r= 2+3sin® C. r = 3– 20ose…

A: 24)      A. r=cos2θ2                                                         B)r=2+3sinθ…

Q: Consider the following polar curve: = sin(20) (a) Sketch the graph of the curve (a rose with four…

A: Follow the steps below to get the answer, don't shade the region I have done that for your…

Q: Let C, D and E be the polar curies below: Cir=f(0) = 3-3 cos 0 E¹r = g(0) = 1/250c4 SOC 3 D:r=3 (1.)…

A: As per the question we are given two curves in polar coordinates as : C : r = f(θ) = 3 - 3cos(θ) E :…

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. Use polar coordinates to find the area inside r = 4 cos 30 and outside r =2.

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Q: 55. Find the polar coordinates of the points on the lemniscate r2 = cos 20 in Figure 24 where the…

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Q: b) Find the slope of the tangent line to the given polar curve at the givén value of e: r=2 cose, e…

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Q: - A tangent at the pole to the polar curve = V2 – 2 cos0 is 0 = r = A 3

A:

Q: Which of the following is an equation of the tangent line to the polar curve r = 2(1+cos 0) at the…

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Q: How many petals are there in the graph of the polar equation r = 2 cos3@ ?

A: Draw the polar curve

Q: 3 4. Sketch the region described in polar coordinates by r < Cos e

A: We need to sketch the region.

Q: Which of the following shows the correct sketch of the polar curve r = -9+ 9 sin(0)? 15 5 -15 -10 -5…

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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: Consider the curves: r = 2 + cos2? and r = 2 + sin2? a) Sketch a graph of both curves on the polar…

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Q: 6. Consider the curves: r = 2 + cos 2θ and r = 2 + sin 2θ, a) Sketch a graph of both curves on the…

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

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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: Slope tells how fast the dependent variable changes wrt the input variable. slope(m) of a function…

Q: 19. Which of the following polar functions is a limacon with dent? A) r= 2+2 cos 0 B) r= 2+5 cos 0…

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Q: ind the area A of the inner loop of the limacon with polar equation r = 12 cos(0) – 6. limaçon Use…

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

A:

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: The slope of the tangent to the polar curve r 2 sin(0) at 0 = is O- V3 None of these 1 V3 V3 1 V3…

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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: 6. Consider the curves: r = 2+ cos 20 and r = 2+ sin 20, a) Sketch a graph of both curves on the…

A:

Q: Q3 Check the symmetry and graph the curve in polar form if 0 = 0 to z at increments π/6(30°) use a…

A: Given curve r=(1+cosθ)----(1) The objective is to check the symmetry and graph the curve in polar…

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

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Q: What type of limacon is the graph of the polar equation given by r = √3+ cos 0? O Limacon with a…

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Q: 6. Consider the polar equation r = 2 – 2 cos(0) a) Complete the table of values for r = 2 -2 cos(0).…

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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: 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

A:

Q: Find the length of the curve over the given interval. Polar Equation Interval r= 9 cos(e)

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Q: 6. Consider the polar curve r = 1 – 2 cos(0). Find (a cartesian equation for) the tangent and the…

A:

Q: The graph above shows the polar curve 7 = 28 + cos 8 for 0< e < a. What is the area of the region…

A: Introduction: When we determine the area of a region that is bounded by continuous and…

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: 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: 6. Find the length of the polar curve r = 1+ cos 0 on the interval 0 < 0 < n.

A: Given:

Q: 2. We have given the following closed polar curves in the plane: C1 :r = 2 cos 0, C2:r=2 sin 20. (a)…

A: The given curves are: C1:  r=2 cosθ ,           C2:  r=2 sin2θ

Q: 1. Sketch the graph of r=1-cos in polar coordinates. [3 marks]

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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: 4. Draw the polar curve defined by r= 3 –2 cos 30.

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Q: 7. [10pts] Calculate the slope of the tangent line to the polar curve r = when 0 cos (0/3) at the…

A: given curve is                                  r=cosθ3 at   θ=π…

Q: 10. Sketch the polar region inside the graph of r=10 and outside the graph of r=5 from 0 = to 0 = 6.

A:

Q: 5- Graph the polar curve given by: r=2 +4 cos 0. Give the range of 0 in which the inner loop is…

A: To  get the range of θ we need to check the when the curve r crosses through the origin

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: For what value of k does the polar graph r= ksine + 1 produce a horizontal tangent at 9-? Ok= 1…

A: We will solve the problem

Q: 7) Sketch the polar curve r = 2(1+ sin 0). In your graph, label the points corresponding to the…

A: We have to find out the graph and points according to value of θ