Find the family of orthogonal trajectories of the family of hyperbolas x²-4y² =k

Q: 7x – 4xy = C

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Q: 1. Find the orthogonal trajectories of the family of curves x? + y2 = cy.

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Q: Find the orthogonal trajectories of the family of curves y=Ce* +10

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Q: find the orthogonal trajectories of the family of curves x2+y2=a2

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Q: 7. Derive the orthogonal trajectories of the family of hyperbolas xy = c. %3D

A: The solution are next step

Q: Find the value of the number such that the families of curves  y =(x+c) -1  and y = a ( x+k) 1/3 are…

A: Given,

Q: 2ys = Cx

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Q: 4. Find the orthogonal trajectories of the family of curves y= Ce“ + 10

A: Here we have to find the orthogonal trajectories

Q: Find the family of oblique trajectories that intersect the family of the paraboles y = Cx at angle e…

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Q: Find the orthogonal trajectories of the given family of curves x - 4y c.

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Q: (6)Find the orthogonal trajectories for the given families of curves 2x2 – 3y = K. Where K is a…

A: We have to find out the orthogonal families of given function Given function   2x2 -3y=K  ;    where…

Q: Find the orthogonal trajectories of the family of curves r² + y² = 2my where m is a constant.

A: As given equation of curve is: x2+y2=2my Differentiate it with respect to x:…

Q: The orthogonal trajectories to the family of hyperbolas xy= C is given by the family 1)y=cx 2)y2 -x2…

A: We need to find the orthogonal trajectory to the family of hyperbola xy=c

Q: 7  please answer, type the solution if you can please. or write clearly

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Q: 2. Find the family of orthogonal trajectories of the given family of curves in the following…

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Q: Find the orthogonal trajectories of the family of hyperbolas xy = c

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Q: find the orthogonal trajectories of the family ofcurves. Sketch several members of each family. y =…

A: Consider the provided curve, y=cx2 Find the orthogonal trajectories of the family ofcurves. First…

Q: Find the orthogonal trajectories of the family of curves: Ellipses with centers at (0,0) and two…

A: Find the orthogonal trajectories of the family of curves: Ellipses with centers at (0,0) and two…

Q: Derive the orthogonal trajectories of the family of hyperbolas ??=?.

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Q: Use the method of Lagrange multiplier to find the largest and least values of h(x, y) = x2y on the…

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Q: Find the orthogonal trajectories of a - =1; where 2 is an arbitrary parameter. a + 2

A: This is a question of the Differential equation.

Q: 4. Find the orthogonal trajectories of the family of curves y = Ce* +10

A: Given that : y = Ce2x + 10

Q: Find the orthogonal trajectories of the given family of curves. y = (1+C1 x)/(1-C1 x)

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Q: (6) Find the orthogonal trajectories for the given families of curves 2x2 – 7y = c.

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Q: 4. Find the orthogonal trajectories of the family of parabolas with vertices at the origin and foci…

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Q: The orthogonal trajectories of the families of curve 3x? + y? = a? is

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Q: determine the equation of the orthogonal trajectories of the following fsmilies curves: Circles…

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Q: (4) Find the orthogonal trajectories of the family of curves z +y 2C?, where C being %3D a…

A: Note:-    as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Find the family of orthogonal trajectories of the system of circles which pass through the origin…

A: To find  The family of orthogonal trajectories of the system of circles which passes through the…

Q: Determine the equation of the normal line to the hyperbola x - 4y- = 9 at (5, 2). 8x + 5y – 50 = 0…

A: Given equation of hyperbola is  x2-4y2=9          ...(1) We have to find the equation of the normal…

Q: Show that the curve In (2X-1) , n> i has no stationary point

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Q: Use Lagrange multipliers to find the points on the ellipse x2+2y2=1, where f(x,y)=xy has its extreme…

A: This question is related to Lagrange multipliers theorem. We will solve this question by using…

Q: Give the family of orthogonal trajectories of the family of parabolas with vertical axis and vertex…

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Q: 5. Find the orthogonal trajectories of the family of hyperbolas x² - 2y = ax. %3D

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Q: 4. Find the orthogonal trajectories of the family of curves y= Ce“ +10

A: Given that, Family of curves is following, y = Ce2x + 10…

Q: 4) Find the orthogonal trajectories of the family of parabolas y – 3 = c(x + 1)².

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Q: 5. Find the orthogonal trajectories for a family of circles tangent to the y - axis and centers at x…

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Q: For the family x² + 3y2 = c, find that member of the orthogonal trajectories which passes through…

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Q: Find the orthogonal trajectories of the family of curves x2+y2=a2

A: We have to find the orthogonal trajectories of the family of curves x2+y2=a2.

Q: 1. Determine the orthogonal trajectories of the hyperbola 3xy = 5 at point (2,5/6). Sketch es. %3D

A: Topic = Geometry

Q: Find the orthogonal trajectories of the family of curves x3y-xy3=c where c is constant

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Q: Find the family of oblique trajectories that intersect the family of the paraboles y =cx at angle 0…

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Q: Determine the equation of the normal line to the hyperbola x2 – 4y2 = 9 at (5, 2).

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Q: 6) Find the orthogonal trajectories for the given families of curve 3x - y = c.

A: To find orthogonal trajectory first differentiate with respect to x then remove constant then put…

Q: Find the family of oblique trajectories that intersect the family of the paraboles y =cx at angle e…

A: The answer is given below:

Q: Find the orthogonal trajectories of the family of curves ey + 2x2 = k.

A: Given,  ey+2x2=k

Q: Find the orthogonal trajectories of the given family of curves x^2 + y^2 = c^2. *

A: Curves:  x²+y²=c²

Q: Find the orthogonal trajectories of the families of Parabolas y a + 8az + 16a, which passes through…

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