A) Find the linearization of the function at the given point. f (x, y) = 1+ y ln (6 – xy), at (5, 1) .

Q: 3. y = V(p³ + 5) (p² – 6) %3D -

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Q: Differentiate the function. = In({ (4t+ 1)³ (4t-1)5 F'(t) = F(t) = In

A: The derivative of the function in the division form is given by the quotient rule which is given by-…

Q: Find the maximum value of the function f(x, y) = xye-(²x+3) in the first quadrant.

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Q: Consider the following function. H(x, y) = In(8x² + 3y²) (a) Find fxx(2,3). (b) Find fyy(2,3). (c)…

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Q: Find an equation of the tangent plane at the given point. f (x, y) = x/√y,  (4, 4)

A: Given : The function is f ( x, y) = xy and point ( 4, 4 ).

Q: Find the derivative of the function. f(t) = (7t² - 4t + 1)3/2 21t – 6 f 't) = 7? – 41+ 1)² (72 – 4t…

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Q: Q4: A. . Find the derivative of the function at Po in direction of A. g(x, y) = x - + V3sec-1 (2xy),…

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Q: Describe the shift of the function f(x) = Vx – 1 – 4 from the parent function f(x)=vx .

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Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: 2x − 3y = −1 4x + 3z = 4 2y3z = -2

A: Given equation can be written as: 2x-3y+0z+1=04x+0y+3z-4=00y+2y-3z+2=0 Charmer's Rule to find x, y,…

Q: 49y" — 42y + 5y = 0, and - y(4) = 4, y'(4) = 1. y =

A: 49y''-42y'+5y=0, y(4)=4, y'(4)=1 Auxiliary equation 49m2-42m+5=0

Q: Find y as a function of t if y(0) = 5, y(0) = 3. y(t) = 36y" - 84y +58y = 0₂

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Q: (5) Find the curve y = f(x) in the xy-plane that passes through the point (9, 4) and whose slope at…

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Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .