Convert to polar coordinates with r 2 0 and 0 s e < 2T. (-1, -/3) (r, e)

Q: C) = (x² + y² – 1) Hint: You can write this in polar coordinates and then solve for 0(t) and r(t)…

A: Write the coefficient of the equation in terms of polar coordinates: Write, x=rcosθ, y=sinθ. Then,…

Q: Find the slope of the line tangent to the polar curve at the given point. 9 11t r= 9 sin 0; 2' 6

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Q: 2. In both parts, full marks will only be obtained if exact answers are given in terms of . √2 etc.…

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Q: Find the Cartesian equation of the polar equation. rsin 0 = 3 4 The Cartesian equation for r sin 0 4…

A: Given polar equation is r sinθ-π4=3find the cartesian equation

Q: Match the points plotted on the graph with their polar coordinates. y 4 (x, y) = (2 V3, 2) E F В 4 C…

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Q: re inequalities for ion to the right in polar coordinates.

A: Given,

Q: Convert to polar coordinates with r≥0 and 0 between 0 ° and 360 ° . Provide Detailed steps of your…

A: Given,         -41,-43We know that,          To convert the cartesian x,y to polar coordinates r,θ…

Q: An equation of the line y=4x-2 in polar coordinates is: r=0 r=-4/(2cose -sine ) O r=4/(2cose -sin® )…

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Q: Find the area of the shaded region, where the polar curve is given by r = 1+ sin(0). You may need to…

A: we have to find shaded region

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: 25) Evaluating in polar coordinates: 6*L*(x² + y²)dydx

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Q: Previous Question The letters r and 0 represent polar cool equation using rectangular coordinates…

A: Given, r=12/(1-cosθ) rectangular coordinates (x,y)= ?

Q: Convert xy = 7 to an equation in polar coordinates in terms of r and 0. %3D (Express numbers in…

A: Using poler coordinate

Q: 3. Find a polar coordinates for the point that is described in Cartesian coordinates as (x,y) = (2,…

A: We can solve the given problem using the concept of polar coordinate of given problem.

Q: 7. Test the polar equation r = for symmetry with respect to the polar axis, the pole, 1+3 cos 0 and…

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Q: Convert the rectangular equation to polar form. xy = 14 14 %3= cos (o)sin(o)

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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: Topic  = Derivatives

Q: 3 Convert the equation y = -x to polar form. 3 Then solve the resulting equation for 0. e = 0

A: Explanation of the solution is given below....

Q: 2. Use polar coordinates to evaluate √9-1² 2 L √4+x² + y² dy dx.

A: This is a problem related to integral of polar curves. Based on the substitution in cartesian…

Q: Hello, I am trying to solve for the arc length of polar graphs over an interval, and I have seen the…

A: Given, arc length formula in cartesian form

Q: Convert (xy)° = 3 to an equation in polar coordinates. 9 Note: use "t" for 0

A: Convert xy9=3 to an equation in polar coordinates

Q: Without using a calculator, for the following, determine whether the graph of the polar equation is…

A: Given that    r = 2 secθ            we know that    x(θ) =  r cosθ      and      y(θ) = r sinθ…

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: Q2 Find the points of intersection of the polar curves r=1+cos 9 and r= -cos

A: Point of intersection of the Polar curve

Q: Find the length of the curve over the given interval. Polar Equation Interval r= 2a cos e 4 4

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Q: Find the length of the curve over the given interval:    Polar equation: r=5 Interval: [0,pi/6]

A: Given curve

Q: Convert xy = 17 to an equation in polar coordinates in terms of r and 0. (Express numbers in exact…

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Q: Q1// Converting r= 12 cos 0 r = 12 cos 0 from polar to the equation of a circle?

A: Given problem:- Converting r = 12cos(θ) from polar to the equation of a circle?

Q: 4. Sketch the curve with the polar equation r=3-4cos(theta). Show your work by creating a table of…

A: We will make a table first θ (r,θ) 0 (-1,0) 45 (0.17,45) 90 (3,90) 135 (5.83,135) 180…

Q: Find the area of the shaded region, where the polar curve is given by r = 1+sin(0). You may need to…

A: Given that the polar curve is r=1+sinθ.

Q: r 1 1 sing at Ø 元-6

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Q: 9/3 9. to polar coordinates. Enter exact values Convert the point with Cartesian coordinates - for r…

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Q: •5 25-x2 Evaluate (x² + y? )° dy dx by converting to polar coordinates.

A: To evaluate the integral using polar coordinates

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

A: Given:

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

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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: Paove that the distane, b, points with between two polar coordinates (s, Bq) aud (s2,E2) is…

A: TO PROVE : THE DISTANCE BETWEEN TWO POINTS WITH POLAR COORDINATES s1 , θ1 AND s2 , θ2  IS…

Q: (iii) 3rd subplot is A butterfly curve using polar coordinates: 2a - I r = esina – cos(4a) - sin( 24…

A: (iii) Matlab Code: clc; clear all; close all; theta= 0 : pi/32 : 8 * pi; r= e.^…

Q: 1) (a) Circle ONE of the below equations and convert it from either polar to rectangular or…

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Q: Point A(V5,0) to point B(2v10,y) in polar coordinates Which of the following is the distance? 2 1 (…

A: Here we have, Point A5,θ and Point B210, γ in polar coordinates. Also given that, sinθ=25 and…

Q: 9. Find the area of the region inside the cardioid r= 2-2 cos(0) and outside the circle r= 2. Then…

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Q: What is (x - 12)² + y² = 144 in polar form? r = 24 sin 0 r= 24 cos 0 O Option 1 r= -24 sin 0-144…

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Q: Convert eVx = 6 to an equation in polar coordinates of the form r = f(0). (Use symbolic notation and…

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Q: Convert the rectangular equation to polar form. (x² + y2j2 = 6(x² – y²) 6 cos 0

A: In the question we have to convert given function into polar form.

Q: Both the polar curves r 3-2cose and r=-3+2 cos0 are symmetric to what axis O Line OX or the polar…

A: To find the symmetry of both the curves, r=3-2cos θ and r=-3+2cos θ, plot the graphs of both the…

Q: 4. a) Express the given rectangular equation in polar form. Solve for r or r2 if possible. x? = y? +…

A: Use x= rcostheta Y= r sin theta X2+y2=r2

Q: 5/3 Convert the point with Cartesian coordinates to polar coordinates. Enter exact values for r and…

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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: 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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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.