Question 7 – 8, find a polar/ cartesian equation for the curve represented by the given polar/ cartesian equation. 7. (-1,-7/6) 8. x2 - y? = 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: 7. (-1,–x/6) 8. x2 - y? = 4

A: Given :7. ( -1, -π/6 )8. x2-y2=4

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: The curve whose equation in polar coordinates is given by r -4 sin(@) is a circle with its center…

A: I am going to solve the given problem first by converting in to the cartesian form and then…

Q: Consider the curve C of equation (x² - y + y?)2 = x² + y? . Among the indicated options, select the…

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Q: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

A: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

Q: Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 2cx

A: Polar equation for the curve represented by the given cartesian equation x2+y2=2cx is r=2c cosθ The…

Q: ht) A curve with polar equation 9 r = 7 sin 0 + 36 cos 0 ents a line. This line has a Cartesian…

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Q: 2. The curve with polar equation 24 3 cos 0 + 4 sin 0 = is a line. Find the slope and the…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x + y = 9

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Q: Sketch the curve with polar equation r = 2sin3θ.

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Q: Example 11 Determine the points at which the limacon defined by the polar equation r = 3+2 sin 0 has…

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Q: a) A curve has the parametric equation given as x = 4+3 cos 0 y = 3 sin 0 – 2. i) Convert the…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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: 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: • Question 1. Given the point R (1,4) outside the circle L = x2 + y2 -2y = 1 x² + y2 - 2y - 1 = 0…

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

A: To draw a polar graph we need to check its symmetricity by using following   #  In the first test,…

Q: Find a polar equation for the curve represented by the given Cartesian equation. x2+y2=100

A: Here given cartesian equation  x2+y2=102 it is an equation of the circle with radius 10.

Q: 1. The polar equation of the graph whose equation is x² + y2 = 25 is (A) r- 5cos 0 = 0 (B) r+5cos 0…

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Q: 36 A curve with polar equation r = 29 sin 0 + 7 cos 0 represents a line. Write the equation of the…

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Q: Sketch the curve with the given polar equation, and find its Cartesian equation. 1 1-cos e

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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 a polar equation for the curve represented by the given Cartesian equation. x² + y2 = 16

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x^2 + y^2 = 6x −…

A: Given equation is : x2 +y2 = 6x -4y Concept : To convert an equation in polar form, we substitue x =…

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: 4. Sketch a clear and accurate graph of the polar equation r 1-2cos 0.

A: To sketch a clear and accurate graph of the polar equation r=1-2cosθ Here r is the distance from the…

Q: A curve with polar equation r = 8 sin 0 + 49 cos 0 represents a line. This line has a Cartesian…

A: The polar equation is, r=58sinθ+49cosθ   Rewrite the equation. 8rsinθ+49rcosθ=5   Substitute y for…

Q: 37 r cos 0 =4, and rsin0=-3 on the same axis system. (polar) Graph 0 =

A: Here we put the value of theta in the given 2 equation and after that, we will sketch the graph on…

Q: Sketch the curve r-4 sin 30 with the given polar equation by: first sketching the graph of as a…

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Q: Find a polar equation of the form r^2=f(θ) for the curve represented by the Cartesian equation x^2 −…

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Q: Find the length of the curve over the given interval. Polar Equation Interval r = 5 cos(6) 2

A: To find the length of curve

Q: Consider the polar curve with equation r=1+2cos(θ):   (I) The slope of the tangent line to the curve…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 10cx

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Q: QUESTION 15 Find the polar equation for the curve represented by the given Cartesian equation. x + y…

A: To find the polar equation of the curve with given cartesian equation.

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: 25. х? + у? 3D 4y ||

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

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Q: find a polar equation for the curve represented by the given cartesian equation y=2

A: Solution Given The given cartesian equation is  y=2. We need to find the polar equation.

Q: 31 A curve with polar equation r = 3 sin 0 + 7 cos 0 represents a line. This line has a Cartesian…

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Q: polar equation for the curve represented by the given cartesian equation  x2 =7y

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Q: Find the length of the curve over the given interval. Polar Equation Interval r = 8a cos 0 16 16.

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Q: Consider the following equation (x² + y²)² = 4 (x² – y²). a) Convert the equation to a Polar…

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Q: The graph of the polar equation r(0) = 0 cos(0), o ses. with derivative = cos(e) – 0 sin(0), is…

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

Q: Find the polar equation for the curve represented by the equation y = 1+ 3x. A 1 ,0) sin 0-3 cos 0 В…

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Q: A curve with polar equation 32 3 sin 8 + 13 cos e represents a line. This line has a Cartesian…

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Q: 23 A curve with polar equation r : 4 sin 0 + 13 cos 0 represents a line. This line has a Cartesian…

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Q: TRUE OR FALSE. The curve defined by the polar equation r = 2 + 3 sin θ is symmetric with respect to…

A: To determine whether the given statement is true or false.