For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or the y-axis. y? 16

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

Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

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Q: What are the foci of the ellipse? 49 42 O (2+ v7, 1) o (2+ 7, -1) o (tyī, 1) o (12/7, - 1)

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Q: y? What is the length of the transverse axis of the hyperbola 25 |3D 64 O 8 units 16 units O 5 units…

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Q: 5. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? O y = (# – 1)2 +…

A: y= (1/4) *(x-1)^2 +3

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A: Equating distance from directrix to distance from focus gives equation of parabola.

Q: In which direction do the following parabolas open?a. y2 = -4x        b. x2 = 4y

A: Part(a) Given parabola  The graph of the given parabola is

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Q: Find the coordinates of the foci for the following hyperbola. (x – 1)? (y + 1)? 1 64 16

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A: We have to find percent change in the area after increasing major axis and minor axis.

Q: Explain how to use directrix. ey = &x to find the parabola's focus and

A: Given equation of parabola is y2=8x. To find focus and directrix of parabola. Solution: Equation of…

Q: Q3) Using the property of Re z and Im z to show that the hyperbola x2 – y? = 1 can be written as: z2…

A: Given that: Equation of hyperbola is-             x2-y2=1

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Q: Which point or points on the ellipse x? +4y? = 4 are furthest away from the point (0, 1)?

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Q: By differentiating implicitly, find the slope of the hyperboloid x² + y? – 22 =1 in the x-direction…

A: Given that: x2+y2-z2=1

Q: snip

A: Given: To Find: Which of the following option is correct:a. x-h2a2-y-k2b2=1b. y-k2a2-x-h2b2=1

Q: 3 Which equation is for the hyperbola? O x = a (y – k)² + h (z-h)² (y-k)? = 1 O (z – h)° + (y – k)°…

A: LET'S FIND HYPERBOLA EQUATION,   ANSWER :-  OPTION B IS RIGHT   OPTION A IS PARABOLA. OPTION C IS…

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A: 2)circle

Q: Given the general form of a parabola x2+6x-8y+10=0, what is the y coordinate the focus? (round to 3…

A: Explained below

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Q: snip

A: Solution:Given       x24-y29=1To find a,b and Transverse axis.Formula:Standard form of…

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A: General equation of sphere  (x-h)2+(y-k)2+(z-p)2 = r2  center (h,k,p)  radius = r

Q: What is the directrix of the parabola? (x – 4)? = 8 (y + 3) O x = -3 O y = -3 y = -5 x = -5

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Q: For Exercise, determine the standard form of an equation of the parabola subject to the given…

A: Given directrix: x=0 and focus (-4,5)The vertex will be the mid point of them Mid point of x=0 and…

Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

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Q: Given the general form of a parabola x2+8x-12y+11=0, what is the equation of the directrix? y=_____.…

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Q: .... .. ......... ....*.*. ..* * ..... The area of an ellipse with axes of length 2a and 2b is nab.…

A: As per our guidelines , we can only solve first question. Please resubmit other questions as next…

Q: Use the Distance Formula to write an equation of the parabola with focus F(0. 9) an y%3D

A: Topic- equation of parabola

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: Given: Corners of the reference rectangle: (8, 7), (−6, 7), (8, −3), (−6, −3); Horizontal transverse…

Q: Find the point P on the parabola y = x? closest to the point (57, 0). (x, V) = ( y y =x 57

A: Let x, x2 be the point on the parabola y=x2 closest to the point 57, 0. Now the distance between x,…

Q: What is the shape of the vertical cross section of this solid figure that does not pass through the…

A: Topic:- cutting of surface

Q: Use the figure to complete the sentence below. Y Transverse ais If the center of the hyperbola is…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: For Exercise, an equation of a hyperbola is given. Determine whether the transverse axis is…

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Q: Find the coordinates of the four points at which the hyperboloid of one sheet given by x2 y? + 16 z?…

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Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: What is the equation of the standard hyperbola with vertices at (0, t a) and foci at (0, ± c)?…

A: Option B is correct.

Q: 4. Label the focus, directrix, and vertex on the graphs given for the parabolas in Exercises 2 and…

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Q: Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length…

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Q: c) Find the center and radius of the sphere whose equation is x2 + y? + z? + 10x + 4y + 2z – 19 = 0

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Q: For Exercise, write the standard form of an equation of a hyperbola subject to the given…

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Q: For Exercise, determine the standard form of the parabola subject to the given conditions. Focus:…

A: Given:Focus: (0, −3);  Directrix: y = −6

Q: What is the distance from the y-axis to the focus of the hyperbola whose equation is (y – 1)? –…

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Q: hat is the shape of the vertical cross section of this solid figure that passes through the vertex?

A: We have to identify the shape of the cross-section.

Q: Evaluate a ds, where C is the parabola i = (3t, 3t2), for – 1 <t < 1. Answer exactly or round to 2…

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Q: Evaluate –dz , where C is the ellipse 4x² + 9y? = 1. %3D Yc z2 – 3z+2

A: Given: The equation: ∮C z3 + z + 1z2 - 3z +2dz Here C - ellipse of 4x2 + 9y2 = 1

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: From the given statement, the corners of the reference rectangle are  (7,6), (-1,6), (7,0), (-1,0)…

Q: For Exercise, determine whether the transverse axis and foci of the hyperbola are on the x-axis or…

A: