Sketch the graph of 4y2- 2x2 =1. Find the foci of the asymptotes. A 0,+ 3 B 3. 0, ± D 3

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Q: Graph and locate the foci: 9y2 - 4x2 = 36. What are the equations of the asymptotes?

A: Consider the provided equation, 9y2-4x2=36 Graph and locate the foci and what are equations of the…

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A: we have to fill in the blanks: For the hyperbola y216-x281=1, the assymptotes are ________ and…

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A: Given:- y-1216-x+324=1 here, center C=(-3,1)=(h,k) a2=16⇒a=4 b2=4⇒b=2 The Hyperbola is Horizontal…

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A: Given hyperbola s standard equation of hyperbola : Therefore,

Q: Find the following: a) Standard Form (Show solution) b)Center c)Foci d)Vertices e) Conjugate Axis f)…

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Q: y2 1. What are the 36 Graph and locate the foci: equations of the asymptotes?

A: Given: x236-y29=1 We know that foci of given equation of hyperbola is given by foci≡±ae,0…

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A: The objective is to find the equation of the graph.

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A: Given: Ax2+Cy2+Dx+Ey+F=0, A≠0, C≠0     ……1 where A and C are of opposite signs.   (a) To prove:…

Q: Q3) For what values of n the line y = -x + n intersects the ellipse +=1 at two poin 20

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Q: Consider the graph of  y = ax2 + bx + c, where a = -3, b = 2 and c = 1.  Is the parabola concave up…

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Q: 5 which of the followinginan equation of the tengentto the graphefy=x at y=3? x2 A) ye 33X-63 6)yこ…

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A: Let A (x,y) be the point. Given scale factor is 3. After dilation the point is B (-6,21) Now…

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Q: Find center, vertices, foci, asymptotes and sketch the graph of 9x2 – y² – 36x – 6y + 18 = 0

A: 9x2-y2-36x-6y+18=0 9x2-36x-y2-6y=-18 9x2-4x-y2+6y=-18 divide both sides by 9 x2-4x-19y2+6y=-2…

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A: To find the equation of the hyperbola with latus rectus 1, the slope of asymptotes ±12.

Q: 3. Put the equation in standard form then sketch a graph indicating the foci, and asymptotes: y? –…

A: Given - y2 - 16x2 + 64x - 208 = 0 To find - Put the given equation in standard form. Sketch the…

Q: Find the equation of the Hyperbola with asymptotes y=±2x and a vertex at (0, 10)

A: Given, The asymptotes of the hyperbola is  y=2x  and   y=-2x  and vertex at 0, 10 We have to find…

Q: x-intercept (x, y) =            (smaller x-value) x-intercept (x, y) =            (

A: Given: F(x) = 8 -x2

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Q: find the equation of the given hyperbola Vertices (±3, 0) and asymptotes y = ±1/2 x

A: Since the vertices 3,0 and -3,0 have same y-coordinate, hence the hyperbola is horizontal transverse…

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A: The x intercept can be determine by outing y=0

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Q: Find the equation of the hyperbola with latus rectum 1, slope of asymptotes  ± ½. Draw the curve

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Q: 4) Find the vertex of the parabola y=-3 x-2 x +7 and sketch its graph.

A: Given y =-3x2 -2x+7    We have to find the vertex of parabola and sketch its graph

Q: Find standard equation 07 the the Vertices (3,-5) and c3,1) asymptotes y=4-2x the the bypodbola with…

A: Please see the below picture for detailed solution.

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Q: In the given equation 9x2 - 4y2 = 36. Find the foci and equations of the asymptotes. A (V 13,0) and…

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Q: ind the vertex and the x-intercepts (if any) of the parabola. (If an answer does not exist, enter…

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Q: Find the asymptotes of the folium of Descartes given by the equationx3+y3=3axy.

A: We have given the equation of the folium of Descartes;

Q: 8. 3y = x' + 3x? – 9x + 3 %3D

A: Given: y=x33+x2-3x+1 We know that any given functiony=fx have maxima at x=a, if f'a=0 and f'x change…

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Q: Graph the hyperbola 4x2 - y2 + 8x + 6y + 11 = 0. Give the location of the foci and the equations of…

A: Given equation of hyperbola is 4x2-y2+8x+6y+11=0. Given equation can be re-written as:…

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A: Consider the given Simpson’s 13 rule: The objective is to find the equation fx of the parabola…

Q: Use the graph to answer the following questions y y x2 + 4x + 3 %3D 6- 4 -8-6. 2. -2- -4. 6 8 -4-…

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Q: The variable point (t²,t+1) lies on a parabola. (i) Sketch the parabola for -2 <t<2.

A: See the answer below

Q: A point moves on the parabola 10y = 5x² + 3 in such a way that when x = 6, the abscissa is…

A: To find the increasing rate of ordinate at x=6, differentiate 10y=5x2+3 with respect to time, t,…

Q: Given x2 = 4py with p&gt; 0, the parabola opens (upward/downward/left/right).

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Q: A parabola having its x axis parallel to the y-axis has its focus at (5,6) and vertex at (5,4).…

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Q: The value of th the parabola opens

A: answer is in next step

Q: In the given equation 9x- 4y= 36. Find the foci and equations of the asymptotes.

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Q: The hyperbola (y + 2)2 (a+ 7)2 = 1 64 81 has asymptotes which are the two lines y=土 8/9 ( x+7 2.

A: First write the standard hyperbola equation then compair and find all the values then write the…

Q: 8. 4. 4. 7. Locate the foci, find the equations of the asymptotes, and graph y² =1. - 25 8. 6. 5. 3.…

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Q: 20. Graph the following and find the information. (x - 2)2 (y + 1)2² = 1 22 62 -10 -7 -2 -1 10 -2…

A: Then given equation is of a HyperbolaWe know the standard from of hyperbola i.e. (x-h)2a2-…