2: find fx, fy, and f2. a f(x, y, z) = 1 + xy? - 2z? 5 f(x, y, z) = x - Vy2 + z² c) f(x, y, z) = e 2

Q: Solve for x, where u = (1, -1, 2), v = (0, 4, 1), and w: %3D 5u – 2x = 3v + w X =

A: It is vector problem.

Q: then fxy Q4: If f (x, y,z) = x²y³ – y²z3 %3D -

A: we have to find partial derivative

Q: a² f If f(x, у)— 3х'у +9х, then дхду a. 6x? b. 9x? c. 9x²y С. d. бx? +9

A: Evaluate the given differential of the function f(x, y) = 3x3y +9x   Find the d2 f/dxdy

Q: y uf f(x,y) = -+2 then find y %3D ду? O a. 02f 2x %3D dy? .3 O b. 22f %3D dy? y3 O c. a2f dy? y? 2x…

A:

Q: (x-2)² + (y+1)² =16, find- A. 16 (y+1)³ d²y dx² B. 16 (y +1)³ C. 16 y³ D. 16(x-2)² (y+1)³

A:

Q: 2. - q + (q Ap) ~q (q p) T F F T F F 2

A: We have to find the truth table for given statement.

Q: Find x, y, z, and w. x 8 (2x- 1) (2x - 3) 7y (w + 1) (6y + 5) X = y =

A: Given x82x-1y67y=2x-3z55w+16y+5.

Q: Let ā = (1, 3,-1) and b (-1,0, 2). What is the y-component of ā x b %3D %3D 1 -1 3.

A:

Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: 2x + 2y + z = 16 x + z = 34 y − 3z = 34

A:

Q: 0 (D2- D2) z ='x + y (D D') z = x + 2y

A:

Q: Əw Əv 2 y Find when u = 0, v = 0 if w=x + + ₁ x= x=5u-5v+1, y = 6u + 6v - 6.

A: To find the indicated partial derivative

Q: If g(x, y) = √√3xy - 7x, find gx and gy. 9x = gy =

A: partial derivatives

Q: Solve for w where u = (1, 1, 0, -1) and v (0, 3, -1, 2). w + 4v = -3u %3D

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Q: Use the accompanying figure to write each vector listed as a linear combination of u and v. Vectors…

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Q: K (x2.V1) (1-Y1)

A: Determine the length of LK

Q: a55 dx20y3 if f(x,y)=x. ez A- Find B- find fxy and fyy if f(x.y)= y+x²y+4y³- In(y2+1) C- Find the…

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Q: f(x, y) = /322 + 5y²

A:

Q: (yæ² + æ*) dy – (y³ + 2 y² a 3 3 y x²) dx = 0 - - –

A:

Q: Use the Laplace transform to solve the given system of differential equations. dx dy + 7x + dt 1 dt…

A: