Find the orthog onal trajectories of the circles x+y - ay = 0, where a is a parameter.

Q: 7x – 4xy = C

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Q: Find the orthogonal trajectories for the family of curves, sin? y C In x.

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

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Q: 3x* – 4y* = C

A: The given equation is: 3x4-4y4=c

Q: Find the length of the curve /- y = Vcos 2t dt from x = 0 to x = "/4.

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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: Q-23 (aT trajectories of the families of y? = 2ax, where a Find the orthogonal being a parameter.

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Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) 2y³ + 3x² = C (F) 2y³ + x³…

A: Introduction: An orthogonal trajectory of the family is any curve that cuts each member of a…

Q: Find the length of the curve y = V4t2 – 1 dt, 1<x<2 O 3 O 8 O 104 3. O 15

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Q: 2ys = Cx

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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 family of curve y = 3x+c,where c is an arbitrary constant.

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Q: Find the orthogonal trajectories of the family of curves. Use a graphing device to draw several…

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Q: y = x – 2 + Ce* X-

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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: Which of the following is the orthogonal trajectories of the family of curves y^(5) = kx^(4)? There…

A: To find orthogonal trajectories in the curve substitute -dx/dy for dy/dx in the differential…

Q: Find the set on which the curve 7 dt t2 + 6t + 15 y = is concave downward. Answer (in interval…

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Q: ) Find the orthogonal trajectories of the family of curves r = 3C sin 0, where C being parameter.

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

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Q: Find the orthogonal trajectories of the family of curves x when 'a' is the parameter. +y Da

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Q: Find the orthogonal trajectories of the family of curves x² - y² = (² A x² + y²=C² B) xy=C (C) x-y=C…

A: We can solve as follows

Q: Find the orthogonal trajectories of the one parameter family of curves ex+e-y=c

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Q: The orthogonal trajectories of the family of curves y= cx2 is A x=ky? B x? +2y? =k © x2 = ky? D…

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Q: Find the orthogonal trajectories of the family of curves x²- y2=C² A) x- y=C (B xy3=C xy=C D…

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Q: b. Find the orthogonal trajectories for the family of curves x² + y² =C².

A: we have to find the orthogonal trajectory of the given family of curve

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 parabola described by the equation (y– 3) = Cx.…

A: The solution of the problem is given in the next step.

Q: The orthogonal trajectories of the family of curves y= cx² is A x=ky? B 2x2+y2 = k © x2 = ky? x2…

A: The given family of curve y=cx2

Q: y6 = C (x² + 1) %3D

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Q: 2 Find the point onthe curve y=Jx that is. the point (4,0). minimum distance from a

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

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Q: Find the orthogonal trajectories to the family of curves: r=c- (in y -1).

A: Orthogonal trajectories can be find in the following way: (i) differentiate given family of curves,…

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

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Q: Find the value of c such that line y=3/2x+6 is tangent to the curve y=cx1/2.

A: Given,  line y=3/2x+6 is tangent to the curve y=cx1/2.

Q: Find the points on the curve x2 + xy + y2 = 1 in the xy-plane that are nearest to and farthest from…

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Q: Find the orthogonal trajectories of the family of curves x² + Y? = R? %3D

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Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) 2y³ + 3x² = C (B) 2y³ + 2x²…

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Q: Find the Orthogonal Trajectories: a.) y6 = C (x2 + 1)

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Q: x² – y² = = CX

A: For orthogonal trajectories, replace dy/dx by -dx/dy and solve it.

Q: Which of the following two families of curves are orthogonal trajectories of each other? 1, .y = e,…

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Q: Determine the orthogonal trajectories of the family of circles (equation below) that is tangent to…

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Q: Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) y = 19k

A: The objective of the question is find the orthogonal trajectories of the family of the curves.

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

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Q: Find the isogonal trajectories to a family of straight lines y= cx that cut the lines of the given…

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Q: Find the orthogonal trajectories of the given family of curves y? = tcx 1-cx

A: The orthogonal trajectory is the family of curves that is perpendicular to the given curve. The…

Q: Find the orthogonal trajectories of the family of curves r 5C sin 0, where C being parameter.

A: Follow the below steps to find the orthogonal trajectories. Differentiate the function with respect…

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: The orthogonal trajectories of the family of curves y= cx² is A x² = ky? x² +2y² =k В © x=ky? D 2x2+…

A: In this question we have to find the orthogonal trajectories of the family of the curves y=cx2

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

A: Curves:  x²+y²=c²