Find the orthogonal trajectories of the famil y of curves x'yxy=c where cis constant

Q: 8. Find directional derivative of function z = xey at point P(1,0) in the direction from pointP(1,0)…

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Q: Find an equation of the tangent plane to the graph of f(x, y) = 4x² – 7xy2 at the point (7, 8) z =

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Q: Fnd the orthogonal trajectorie of the family of curve r = c sin0

A: In order to find the orthogonal trajectories of the given curve, we need to differentiate it with…

Q: х - у х-2 У — w 0 0 y - w w 0 8 (х, у, 2, w) %3D

A: The given matrix equation is, x-yx-zy-ww=0008 This, matrix equation results in the system of 4…

Q: Find the gradient of the curve y = a²xe-b*x at x = 1.

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Q: linearise R = AT + BT

A: To linearise the below equation. R=AT+BT2

Q: Find the point in the curve y = x³ + 3x for which y' = y'

A: Roots of y' problem....

Q: est value of the function 1.1) is

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Q: Differentiate r(t)=

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Q: Find the gradient for the curve defined by y + xy = 3 at the point (1,2)

A: Gradient to given curve

Q: Find the linearization L(x, y) of the function f(x, y) = (x^3)(y^6) at the point (-2, -2).

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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.