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

Q: r = -4 sin 0,

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Q: Draw phe Polar curve defind by r=4+2 Cos 36

A: Given:

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: 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: Find the exact length of the polar curve described by: 9e -0 on the interval

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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: 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 length of the curve r = 4 cos 0

A: Given curve is r=4cosθ We have to find the length of the given curve. The length of the curve in…

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

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Q: The polar equation r = a+a cos 8, where a > 0, has a tangent line at (0, 7)

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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 points at which the following polar curve has a horizontal or a vertical tangent line.…

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

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: 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: Find the exact length of the polar curve. 4 sin(0), o 0S T/3

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Q: Calculate the length of the polar curve r=1-sinθ on the given interval (0,2π).

A: In the given question we have to find the length of the polar curve on the interval . Concept:…

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

A: Let The slope of the tangent line is given as,  Differentiate r with respect to

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

A:

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: Find the slope of the polar curve at the indicated point. r -6+5 COs o 2.

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Q: Find the slope of the line tangent to the polar curve at the given points. r=3cos2(theta); at the…

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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: Find the arc length of the polar curve described by: r = 5 + 5 cos 0

A: r=5+5cosθ To find out arc length we use formula we need to consider the interval 0 to 2pi…

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: 3. Consider the polar curver = sin (0), for 0 € [0, 27). (a) Find the tangent line to the curve at 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: Polar curve is

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: 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 arc length of the polar curve described by: r = 6 + 6 cos 0

A: I have provided a solution in step2

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 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: 6. Find the area of one loop of the polar curve r = 2 sin 30

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

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Q: 44. A tangent at the pole to the polar curve r = 2- 4 sin 0 is af pole 0 = = D 0 = Sing 8sin

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Q: Sketch a graph of the polar equation and nd the tangents at the pole. r = 3 (1 − cosθ)

A: By using polar curve

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

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

A: Given:

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

A:

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: e of the tangent line to the polar sin(40) at 6 curve r =

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Q: ulate the length of the polar curve r=1-sin0on the given interval [0,

A: The given curve is r=1-sinθ   ...........(1)  now, differentiate with respect to θ

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: 40 cos*“for 0 < 0<m

A:

Q: Find the exact length of the polar curve. 6sin(0)

A: The polar curve r=6 sin(θ) ; 0≤θ≤π6

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.