Find the orthogonal trajectories for the family of curves. Use a graphing utility to graph several members of each family 5x2 − 4y2 = C

Q: 7x – 4xy = C

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Q: Find the orthogonal trajectories of the family of curves y^3 = 3(? − ?). Draw a few representative…

A: We will find out the required solution.

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

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Q: 5. e+ e = C1 %3D

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Q: 1. Find the orthogonal trajectories of the given family of curves: Circles through the origin with…

A: Let a family of curves be given by the equation gx,y=Cwhere C ia a constant. for the given family of…

Q: Find the orthogonal trajectories for the family of curves. Use a graphing utility to graph several…

A: The equation for family of curves is y2=Cx3 . So the value of C is equal to y2x3 . According to…

Q: A parabola has the equation y^2 = -4ax. Determine the slope of the orthogonal trajectories.

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

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Q: Find the orthogonal trajectories for the family of curves 6x² + y² -9ax=0.

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Q: Show the complete solutions, kindly include all the necessary drawings, graphs and illustrations.…

A: We have to find the orthogonal trajectories of circle through the orgin with centre on the x axis

Q: In the given equation , find the orthogonal trajectories for the family of curves. Use a graphing…

A: Solution:Given          y2=Cx3Formula:d(xn)=nxn-1∫xn dx=xn+1n+1+C

Q: Find the exact length of the curve. 글 cosh(2x), sxs8 y = 4 +

A: Given:

Q: Find the orthogonal trajectories of the family of curves y = ax² + 4ax + 4a, where a being…

A: Orthogonal trajectory: If a curve cuts every member of a given family of curves at right angle, then…

Q: Find all points (c, f(c)) on the graph of f(x) = x3 −3x2 where the tangent line has slope 9.

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Q: In the given equation , find the orthogonal trajectories for the family of curves. Use a graphing…

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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: Find the orthogonal trajectories for the family of curves x2 − 2y2 = C . Use a graphing utility to…

A: Concept: Trigonometry is used in finding distance and angles, there are six trigonometric ratios…

Q: Find the orthogonal trajectories for the family of curves y=c1x4

A: First of all rearrange the given equation in such a way that both the variables be on one side of…

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

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Q: 4) Find the orthogonal trajectories of the family of the curves x² = 2y – 1+ ce¯2y.

A: We need to find the orthogonal trajectories of the family of the curve given by x2=2y-1+ce-2y We…

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 given family of curves: Circles through the origin with…

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Q: Y = ce" || if the angles of the intersection are 7 radians.

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Q: Find the point on the curve 4x

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Q: Find the length of the curve y = In(1-2) over the interval

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Q: In the given equation , find the orthogonal trajectories for the family of curves. Use a graphing…

A: Solution:Given     x2-2y2=CFormula:d(xn)=nxn-1∫xn dx=xn+1n+1+C

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

A: We have to find the orthogonal trajectories of the family of curves

Q: 7

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Q: Find the orthogonal trajectories of the family of circles passing through the points (1, −2) and (1,…

A: Given that

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

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Q: 1. Find the orthogonal trajectories of the given family of curves: Circles through the origin with…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Find the length of the curve (Sketch and Solve) One branched of the curve 9y2=4x3 from x = 0 to…

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

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Q: -y 5. e+eY = C %3D

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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: a) Calculate the length of the curve defined by x = -3 )on the interval 1 sys9.

A: (a) Given that, x = 13 y (y-3) on the interval 1 ≤ y ≤ 9   We have to calculate the length of the…

Q: 6. Given that k is an arbitrary constant, find the orthogonal trajectories of the following family…

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Q: find equation of both the tangent lines to the elipse x^2+4y^2=36 that pass through the point(12,3)

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Q: Find the orthogonal trajectories of the family of curves y^3 = 3(x-c). Draw a few representative…

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Q: Find the orthogonla trajectories of the family of the curve r = csine

A: Family of curves: r = csinθ

Q: Determine the co-ordinates of all the points at which the tangent to the curve y = 3x'e8x is…

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Q: Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) y² . 5kx3…

A: We have to find orthogonal trajectories of the family of the curves y2=5kx3.

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: 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: determine the equation of the orthogonal trajectories of the following families curves: e^x+e^-y=C1

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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 family ofcurves. Sketch several members of each family. kx2…

A: The given family of curves is kx2+y2=1. Differentiate both sides of the above equation with respect…

Q: Find the orthogonal trajectories of the family of curves y3 = 3(x – c). Draw a few representative…

A: We will find out the required solution.

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

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.