Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y, z) = tan(2x + 7y + 3z), (-3, 3,-5) maximum rate of change direction

Q: j Find y as a function of æ if a?y" – 9xy' + 25y = xº, (1) — 2, У(1) — -5. y =

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Q: 1 Find the derivative of f(x) = v2 – 3xª 2 -4 |

A: We use chain rule to find derivative

Q: Find the Integrating factor of: dy + y. sec5x = tan5x dx 1 (sec5x + tan5x) 5 O sec5х — tanп5x + 5 O…

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Q: 1. y = Vz + 3z – 1

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Q: Consider the function: f (x,y) = 2x² - 4x - xy² + 2y² - 3. Explain how you would find the first &…

A: We have given function f(x,y) = 2x2-4x-xy2+2y2-3  We have to find the first & second-order…

Q: Find the gradient function (dy/dx) of y=e-2x tanx. Show all calculations.

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Q: Find the derivative of the function at the given point in the direction of A. f(x, y) = -10x2 + 5y,…

A: This question is related to directional derivative of a function, we will solve it by finding…

Q: Show that d(y,u)/dv = (1– v²/c)3? for y, = 1//1- v²/c?. %3D

A: Given: γv = 1/1 - v2/c2

Q: Determine the directional derivative of f at the specified point and direction. f(x) = x³ + y³ – 3x?…

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Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = 4x2e2y

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Q: F(x,y)=xy+3 find and sketch the domain

A: our objective is to find and sketch the domain of  F(x,y)=xy+3.

Q: Considering the following graph of the given function f. y The xy-coordinate plane is given. The…

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Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = -3x2y3 + x3y

A: Given that, fx,y=-3x2y3+x3y Then we get,…

Q: Select the option that gives a list of the stationary points of the function f(x, y) = x³ – 3x² –…

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Q: 3c The gradient of the curve which passes through the point (2,12) is given by 5x + 7 dy dx Find the…

A: The solution is given as