1. If f(x, y) = x 2y +1' use the definition to find TUT af (x, y) ду

Q: 1. Let T = [-2 1 0 5], 5 1 1 0 A = [¦ ¦] ·--[¦ ¦ ). -- [¦ ¦ ¦]. - -[] [16], B = = [1 2] C = D = 0 3…

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Q: f(x, y) = √5x² + 4y² fa(2, 1) =

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Q: Find f„(x, y). f,(x, y), Sa( – 2, 4), and f,(4, - 3). 5. fх, у) 3D 2х —-5ху 6. f(x, y) = 5x + 7y

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: 2. F(x, у) %3D — (у i-2x) y2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: The domain of F(x, y) =x*y+ x*+ = 1 D =R²- {(0, -)} A O D=R BO D=R? .C O D=R-{}

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Q: Evaluate 1) fx'dx 2) [Vxdx 4 хр, х

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Q: \+etari), find f.. S, and f.- xyz 3. If f(x,y,z)= hn 2

A: We have to find fx , fy , fz.

Q: When z = f(x,y), which of the following is true for the whole statement? O ddz = f"(x).dx² and dx2…

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Q: 1. Given f(x, y) = x' + y* find and ax?' dy' axðy дудх 2. Find whether the function F = (r² – y' )i…

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Q: . Find, from first principles, f(2, -1) for f(x, y) = 2a?y³ + e2y. ,2,,3

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Q: Please no written by hand solutions 13 x^(3)+4x-(x-6)^(2)-(7x^(2)+4) Which of the following…

A: Given polynomialf(x)= x³+4x-(x-6)² -(7x²+4)know that (a-b)²=a²+b²-2abnow by using this we…

Q: Q1. Let f(x, y) = x²y + x + y² +3. (a). Find f(x, y). (b). Find dy

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Q: 8) Suppose you are at the point (2, 1, 82) on the hill given by f(x,y) = 100-4x²-2y (where the z…

A: The objective of this question is to understand the concept of directional derivatives and gradient…

Q: 5. Use the graph of ƒ '(x) shown and the fact that f(2) = 14 to find the value of f(12). f’(x) 8 3…

A: Notice that the graph of f'(x) on 2,8 is a upper semi circle with center (5,0) and radius 3.…

Q: Find V x (V × F) if F(x, y, z) = 9xyj+ 5xyz k. V x (V × F)

A: Given function is F→x,y,z=9xyj^+5xyzk^. To find:  ∇×∇×F→ Concept: Cross product formula for given…

Q: 1 g(u) = V5и + 8 then g' (u) =

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Q: Verify that f has an inverse and find fle) = x'+l; cza

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Q: Fnd llull, lv , Uov, and d (4,v). (-1,7) , v- (1,9)

A: According to our company guidelines we are supposed to answer only first 3 sub parts. So here I'm…

Q: If f (x) = 3x²-2 4x+1 then f'(-1) =

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Q: Determine if f(x, y) = xe*-y + 100y is increasing or decreasing at (-2,1) if a) we allow x to vary…

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Q: 3. If f is the function given by f(x) = -x³ + x² + 3x-2, name the open interval where the graph of f…

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Q: f(x.y) = x³y – . Calculate Se af and əx ду

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Q: //welro) Find a local linear approximation for the function 5х + 6 f(x) valid for x near 5 5x + 6…

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Q: 3. Suppose that f(1) = 2, f(4) 7, f'(1) 5, f'(4) = 3, and f" is continu- %3D | af" (x) da. ous. Find…

A: The given data is: f1=2f4=7f'1=5f'4=3  f'' is continuous  To find the value of ∫14xf''xdx.

Q: 8) Suppose you are at the point (2, 1, 82) on the hill given by f(x,y) = 100-4x²-2y (where the z…

A: The objective of the question is to determine the direction and rate of change of the elevation of a…

Q: if X-? yk 2 2 3D5 リ+1 yX Find

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Q: af , Given the function f (x,y) = 3x – x²y² + 2x°y, what is iTe ду А. 3 — 2ху? + бх?у В. - 2х3у +…

A: Given query is to find the partial derivative with respect to y.

Q: EFGH is translated 6 units to the left and 3 units up. y -1 1 2 3 4 5 6 7 8 x E(4, -1) H(6, -2) -1…

A: Initially coordinates of F are (0,-3) After translating 6 units to the left, coordinates of F will…