1 =-x and y=--x. 3. 1 Find an equation of the hyperbola that has foci at (-10, 0) and (10, 0), and asymptotes y 3 O=0

Q: 1 Find an equation of the hyperbola having foci at (3, –3 – /45) and (3, -3+/45) and asymptotes at y…

A: This question is related to conic section.

Q: 14. Find the maximum and minimum values of the function f(x,y) y? = xy on the ellipse given by the…

A: Given f(x,y)=xy subject to    g(x,y)=x2+y24-1=0 We have to find the maximum and minimum values of…

Q: 11. Find an equation for a hyperbola with asymptotes y=±x and passes through (1, 2).

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Q: ine the orthogonal trajectories of the family of ellipses 16x² + 121y² = C. Sketch some of the…

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Q: Find an equation of the tangent line to the curve x2 y? 1 64 9. (a hyperbola) at the point (-4, 7).…

A: Find equation of tangent and the value of m and b

Q: Find the equation for a hyperbola centered at (0, 0), with foci at (0, - V 52 -6) and (0, 6). y? x2…

A: Here we have to find the equation of hyperbola having a center (0,0) with foci at 0,-52 and 0,52 and…

Q: Find the point(s) on the hyperbola y^2 − x^2 = 4 that is (are) close to the point (2, 0

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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: d. P = 4x1 – 2x2, Q = 2x1 + 6x2; D is the interior of the ellipse: x1 = 2 cos 0, x2 = sin 0, θε [-π,…

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Q: 10. Which is the equation of a hyperbola with co-vertices at (0, 7) and (0,-7) and a transverse axis…

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Q: 3. Where do the asymptotes intersect for the hyperbola y = ( 2x +3 ) / ( 8x +5 ) O ( 3/8 , 2/5 ) O…

A: Given : Hyperbola y =2x + 38x + 5   To find the asymptotes.

Q: 3. 12. Find an equation for the hyperbola with foci (0, t5) and with asymptotes y=tx.

A: Given: The foci and the asymptotes of a hyperbola is 0,±5 and y=±34x respectively. To find: The…

Q: FINO THE OLUME FORMED BY REVOCVING THE HYPERBOLA xy - from to X=4 about the y- uxis

A: Here the curve is xy=6 and x changes from 2 to 4. we have to find the volume of the given curve

Q: 5(c) Find the rectangle with the largest area that can be inscribed in the top half of the ellipse ²…

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Q: 1. Find the slope and the equation of the tangent line to the curve y=x³ at x=-1 2. Find the slope…

A: Let's find.

Q: 1 Find an equation of the hyperbola having foci at (3, – 3-/45) and (3, -3+/45) and asymptotes at y…

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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: Determine the standard form of equation of a hyperbola with foci at (-1,0), (1,0) and one of its…

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Q: The equatione of aoymptoteo ofthe hyperbola 9 (y-9)2-4(x-7)2= 36 are Select one: O 2(y-9)=+3 (x-7) O…

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Q: 9. ers 810, Consider the hyperbola with its equation x2 =y² + 9 %3D 9. What is the length of the…

A: Solve the above questions.

Q: 2 Find the transformed equation of the hyperbola xy = 4 when rotated 45. (x')² - (y')² = 8…

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Q: Find the equation of the tangent to the hyperbola x² – 3y² = 1 at the point S(2,-1). A) 2x + 3y – 1…

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Q: on the hyperbola xy = 1. %3D Which of the followings is TRUE for f(x, y) = x² + y? %3D Litfen birini…

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Q: Minimum distance between the parabolas y² – 4x –8y + 40 = 0 and x² –8x –4y + 40 = 0 is (A) 0 (B) 3…

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Q: Describe the graph of the equation. r = 10 sin 17ri+ 10 cos 17t j O Itis a circle of radius 10 in…

A: Solution :-

Q: 4) Consider the images of the hyperbolas r - y = ±c? under the mapping f(2) = 22, where c > 0. Show…

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Q: The second order P.D.E =0 is © elliphic if xco,yco ® elliphic if xo © hyperbolic if x<o.geo ®…

A: The general form of a second-order partial differential equation is:…

Q: 3. Find an equation of the hyperbola having foci at (4, 3-V 52) and (4, 3 +/52) and asymptotes at y=…

A: Focii: (4, 3+52) &amp; (4, 3-52)Assymptotes : y=3x2-3 , y=-3x2+9Let vertex by represented by (h,k)…

Q: 14. Find the maximum and minimum values of the function f(x,y) = xy on the ellipse given %3D by the…

A: Let f(x,y)=xy subject to     g(x,y)=x2+y24-1=0 We want to find extreme values of f(x,y)=xy on the…

Q: Describe the graph of the equation. r = 2 cos t i - 6 sin t j+k O An ellipse in the planex = 1,…

A: Given is the equation r=2cos t i-6 sin t j+k The aim is to describe its graph. The standard form of…

Q: 5. An elliptic cone with an ellipse trace parallel to yz-plane, A. Has a hyperbola trace in both xz-…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Find the standard form equation for a hyperbola with vertices at (0, 3) and (0, – 3) and asymptote y…

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Q: 1. Which Is the corresponding equation of a hyperbola with co-vertices at (0, -6) and (0, 6) and a…

A: Given, The co-vertices of the hyperbola are 0, -6 and 0, 6  and transverse axis is 20 units long.…

Q: Find an equation of the tangent line to the hyperbola defined by (5x^2)+(4xy)−(2y^2)−4x=195 at the…

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Q: B. Find the general form of the equation of the parabola: 1. With focus Fat (2,7) and directrix e: y…

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Q: The hyperbola with vertices at (0, 3) and (0, – 3) and foci at (0, 5) and (0, – 5) has the equation…

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Q: Find the equations of the normal and the tangent to the hyperbola xy + 2x - 5y-2= 0 at the point (3,…

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Q: Find the equation of the hyperbola that is centered at (0,0), has vertices at (t10,0) and has 6.…

A: Consider the given values. Center=0,0vertices=±10,0y=±65x The gerneral equation of hyperbola with…

Q: Find the extreme value of the function f(x, y) = xyon the ellipse x2 + 2y2 = 1.

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Q: 4x2 dx - xy dy 16x2, y = o from (-1, 0, 16) to (1, 0, 16) (d) dz, where c is the parabola z

A: To evaluate the line integral along the arc C of the given parabola

Q: 4. Determine the equation of the upward asymptote o the hyperbola with the following equation: 16(x…

A: This question is related to asymptotes.

Q: dy 8) Find for the hyperbola defined by the equation y2 – x2 = 7. dx

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Q: (41, Ellipse:. x = h + a cos 0, y= k + b sin 8

A: Form ellipse

Q: A. 5. An elliptic cone with an ellipse trace parallel to yz-plane, Has a hyperbola trace in both xz-…

A: Introduction: The trace is very important to sketch a curve in three dimensional Euclidean space.…

Q: A water tank has the shape obtained by revolving the curve y = x^4/3 around the y-axis. What is the…

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Q: 1 Find an equation of the hyperbola having foci at (5-/45, 0) and (5+/45, 0) and asymptotes at y = 5…

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Q: On a separate piece of paper, sketch the graph of the parabola f(T)= x+ 8. On the same set of axes,…

A: The equation of parabola is fx=x2+8 The coordinate of the point from which the tangents are drawn on…

Q: 1一 The equations of asymptotes of the hyperbola y=2+x-1 are Select one: None y= ±2x y= ±x y32+x

A: Giveny=2±x2-1

Q: Describe the graph of the equation. r= 5 cos t i - 18 sin 1 j +k O An ellipse in the planex = 1,…

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Q: 16. Evaluate (x + V9) ds where C consists of two segments: the part of the parabola y = x² from…

A: In the given question we have to evaluate the integral ∫C(x+y)ds where C is the regionconsist of two…