. Graph the following parametric equation and write the equation in rectangular coordinates in the simplest form. X = 3 + 2sint y = -2 + 3 cost

Q: Which of the following represents the equation of the surfaces with the following four views? Front…

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Q: In the accompanying diagram, which point may be the image of point C after a line reflection in the…

A: Reflection rule along y-axis P(x,y)⇒P(-x,y)

Q: write the equation of each circle. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.…

A: Given: Center of circle=0, 0Radius of circle r=25 To Find: The equation of the given circle

Q: Find an equation of the parabola with focus (7, 3) and directrix r= 1,

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Q: Convert the equation to polar form. y = 6x2

A: The given equation is y = 6x2.

Q: - Draw the graph of the following parametric equations, and find the Cartesian equations. 1) x = 6t…

A: Apologies. We only answer one question at a time. We will answer question 1 as the exact one wasn't…

Q: Rewrite the following parametric equation in rectangular form. x = 4 – t y = 7 + 4t

A: Given equations are : x=4-ty=7+4t

Q: write the equation of each circle. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.…

A: we have to find the equation of the circle having the center of the circle at (0,0) and radius r of…

Q: Convert each equation from rectangular to polar form 2) 1) у%3D 3

A: The solution is given below.

Q: Find the parametric form of (i) the circle x?+y? =p²

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Which of the following equations is the equation of normal to the ellipse 9y? + 4x? = 25 at (2,-1) ?…

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Q: Convert each equation from rectangular to polar form. 5) (x-1)² + (y + 1)² = 2 6) x = y²

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

Q: Convert to a rectangular equation and then graph:r = -4 sec θ.

A: Given: r=-4secθ we know that secx=1cosx                                    ..1 so, by using…

Q: write the equation of each circle. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.…

A: Wer have given centre of circle is 3,5 and radius is 5. Then, equation of circle…

Q: (x – 6)? (y + 4)² = 1 9. 25 Distance from the center to each focus is:

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Q: Cannot solve

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Q: Explain how you would graph the following set of parametric equations by plotting points and…

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Q: write the equation of each circle. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.…

A: Given :             Center is (2, 6) and radius r = 7.    To find the equation of circle.

Q: Write each pair of parametric equations in regular form. x=2sint,y=4cost x=4sec t/2, y=tant/2

A: answer 1 x = 2sint   and     y=4cost we know that                           sin2t +cos2t =1…

Q: Indicate whether the following equations define a straight line (L), a circle (C), an ellipse (but…

A: Concept of identifying the equation Circle for the equation of circle, both x and y are squared…

Q: Convert the rectangular equation to polar form and select its graph. x2 + y2 = 25 7/2 m/2 하 20 4 1아…

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Q: Convert r = 3sin(θ) to an equation in rectangular coordinates.

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Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities -π/4 ≤ θ ≤…

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Q: Write the equation of the circle s+y-6y +1=0 in standard form. B iUF, E E A

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Q: Find a Cartesian equation for the curve and identify it as an ellipse, circle, limAson, parabola, or…

A: Cartesian equation for the curve is r = 3 cos(θ) Now x = r cos(θ)   ……(1)

Q: (x – 1)? (y – 7)2 = 1 4 16 Distance from the center to each focus is:

A: Solution:Given      (x-1)24-(y-7)16=1To find the distance from the centre to each focus…

Q: 1. Convert this equation into ce form State the coordinates center of the circle and its r…

A: Answer

Q: Graph the curve whose parametric representation is given. x-iy-4t + 3; 0sts4 B) D) 10- -10

A: we have to draw the graph of given parametric equation

Q: Convert the equation to rectangular form and sketch its graph. p? = sec? Otan 0

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Q: Use the information provided to write the standard form equation of each ellipse. 1) Vertices: (6,…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: Find two sets of parametric equations for the given rectangular equation. y = 8x + 4

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Q: Replace the Cartesian equation (x+ 4)² + (y- 2)2 = 25 with equivalent polar eauation

A: Ans :   we will convert this given cartesian equation in polar equation  by putting - x = r cosθ…

Q: Use these parametric equations to graph the ellipse when a=  3 and b= 1, 2, 4, and 8.

A: a=3 and b=1,2,4,8 We need to Graph the ellipse using the parametric equation for the given…

Q: Question 23 Give the coordinates of the center of the circle with the equation x²– 6x + y²=12-4y.…

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Q: In the accompanying diagram, which point may be the image of point C after a line reflection in the…

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Q: The focus of the parabola y? + 8x = 0 has coordinates

A: Option (4) is true

Q: Use the information provided to write the standard form equation of each ellipse. 1) Vertices: (11,…

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Q: Find the points on the ellipse that are twice the distance from one focus to the other. y? 25 9.

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Q: Convert to a rectangular equation and then graph: r = -4 sec θ.

A: Convert to a rectangular equation and then graph: r = -4 sec θ.

Q: Find the vertex focus focal width and equation of the axis for each parabola. y^2+8y+4-6x+0

A: Given: y2+8y+4-6x=0 for finding given values, first we convert given equation in standard form of…

Q: Convert each equation from rectangular to polar form. 5) (x – 1)² + (y + 1)² = 2 6) x = y? 7) x = y…

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Q: Which of the following is the equation of the circle shown below?

A: X value lies between (-1,13) Y value lies between (-9,5) Equation of circle: (x - h)2 + (y - k)2 =…

Q: Convert each equation from rectangular to polar form. 5) (x – 1)° + (y + 1)² = 2 6) x = y 7) x = y…

A: Solution :-

Q: Name three collinear points.

A: Colinear points are defined as the points which lie on the same straight line. If two or more than…

Q: Find an equation of the parabola with focus (7,-2) and directrix x=-9. O=0

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