Eliminate the parameter to relate the variables directly in the parametric set of equations and identify the conic section. 3+ sint x = 5 y= cost - 2 - 00

Q: Зл The parametric curve x = 7 sin 2t and y = 9 cos 2t, where , traces the ellipse 49 = 1 81 a. 3…

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Q: Eliminate the parameter from the parametric equations to find the rectangular equation for the…

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Q: The :. conic section xy a constant .identify (25+ w2) =D2C+ w is

A: The given equation is xy=2x+5y-25+w2, where w is a constant.   We have to identify the type of the…

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: Rearrange the terms to get the standard form

Q: 7. The parametric equation of an ellipse is given by x = a cost, y=bsint; 0<t<2n. Determine the area…

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Q: find a parametrization for the curve. the left half of the parabola y = x^2 + 2x

A: First, we will find the symmetric line of the given parabola y=x2+2x. We know that the symmetric…

Q: Match the given parametric equations with one of the parametric curves. x=3- sint, y=3+ cost

A: It is given that x=3-sint, y=3+cost. we have to find the graph of the parametric curve

Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 42² = 4…

A: To find: Parametric equation of the Intersections of the curves  4x2+y2+4z2=4 and y2=x2+2z2.

Q: Identify the conic with th e given equa­tion and give its equation in standard form…

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Q: Solve for the equation in standard form of the following conic sections and graph the curve on a…

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Q: Identify the conic represented by equation without using a rotation of axes.

A: Identify the conic represented by equation without using a rotation of axes.

Q: 2) Foci: (2, –5 + V61), (2, –5 – V61) 20 5 Asymptotes: y ==x- 6 3 y-- 5 10 ソ=ーーX 6 3

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Q: he rectangular equation from the parametric equations by eliminating the paramet

A: 11. Obtain the rectangular equation from the parametric equations by eliminating the parameter t X=t…

Q: Find two different sets of parametric equations for y = x2 + 6.

A: Our Aim is to find the two different sets of parametric equations for y=x2+6

Q: P1 and P2 are two points on the conic whose angles θ1 and θ2 differ by 180° , show that the h

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Q: The parametric equations for x3+y/3-4 , when 0s0<2n are:

A: See the attachment

Q: Find the required information and graph: , (x+3)² + (y – 1)² = 9 ssify the conic section: Center:…

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Q: Can someone help me out with this question?

A: On a horizontal line, the y value is fixed.  And x values are changing.

Q: Find the slope of the line tangent to the conic section 25 (x+3), (y+2)² = 1 at (3,8). 36

A: We find the slope of tangent to the given conic with the help of calculus .

Q: Find parametric equations for the complete parabola x = y2. Answersare not unique.

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Q: Identify the type of conic from the discriminant.Xy-2 = 0 , =45

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Q: What does the graph of the parametric equations x (t) = 2-t and y(t) = (t + 3)², where t is on the…

A: Given parametric equation:x(t)=2-ty(t)=(t+3)2 where t is on the interval  [-4, 0]

Q: 6. y=x(x-2)(x-) plot the conic Curve

A: Given, y =xx-2x-10  We have to plot the curve.

Q: x = 12 + 3 y = 2t [-2, 2]

A: Substitute t value

Q: Match the given parametric equations with one of the parametric curves. x-3- sint, y = 5+ cost O A.

A: To sketch the given parametric equation :- x = 3 -sin t  and  y = 5+cos t

Q: The conic section whose equation is 3x 2 - y 2 - 27 = 0 has a latus rectum equal to 9 18 6

A: Given:  Conic section : 3x2-y2-27=0  To find latus rectum

Q: Identify the type of conic from the discriminant.x2+2ry +y2 + V2x-V2y-2=D0, =45°

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Q: 1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations z =…

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Q: The derivative I of the parametric equations and y=5vt is

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Q: Match the given parametric equations with one of the parametric curves. x= 2- sint, y= 2 + cost

A: To determine the parametric curve for given equation.

Q: Eliminate the parameter in the parametric equations a(t) = log (12t) and y(t) =-3t + 2 to a…

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Q: Find the parametric equations for the path of a particle that travels three quarters of the way…

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Q: Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated…

A: Since,  This implies,  Since the coordinate axes are rotated through  , so equation of x and y can…

Q: determine the equation  of the conic of foci (1,-2) and (5,-2), and eccentricity e=2/3

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Q: (x-2)² y² =D1 5) %3D 81 36

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the Cartesian equation of the parametric equations x = a cost y = b sint 0<t< and identify its…

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Q: What does the graph of the parametric equations x(t)=3−t and y(t)=(t+1)2, where t is on the interval…

A: Given data÷

Q: Eliminate the parameter t from the parametric equation x = 3 sint y = 3 cost 0 ≤t≤ 2π.

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Q: 2. Find the coordinates of the centre, vertices and foci of the curve with parametric equations: x =…

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Q: find a parametrization for the curve. the lower half of the parabola x - 1 = y2

A: Consider the given equation x - 1 = y2 By adding 1 from both sides, ⇒ x = 1 + y2 Let, substitute y =…

Q: The ellipse x^2/7^2 + y^2/6^2 = 1can be drawn with parametric equations where x(t) is written in the…

A: x272+y262=1since 7&gt;6 S0 major axis on x-axis

Q: Eliminate the parameter to find a Cartesian equation of the curve. x= cos 21, y=3 sint, 0sts2n

A: To find the Cartesian Equation from the given parametric equations. x = Cos2t  , y = 3Sint , 0 ≤ t ≤…

Q: Eliminate the parameter in x = -t +2t and y =t-4 and then identify the parametric curve and sketch…

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Q: The ellipse 1 can be drawn with parametric equations where z(t) is written in the form z(t) = r…

A: Given, x282+y242=1

Q: Find the equation of the conic of major axis on the x-axis, the center at (0,0) passing through (2,…

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Q: determine the parametric equations of the tangent axis to the ellipse x²/9+y²/4=1 at the point T =…

A: As we know that the parametric equation of ellipse at a point acosθ,bsinθ  is given by…

Q: find parametric equations for the given curve. 4x − y2 = 5

A: Given curve is:

Q: 15) Find a set of parametric equations to represent the graph of y = 4x – 3 using the parameter t =…

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Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –…

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