2. Show that the equations f(r, y,P. q) = 0 and g(r, Y.P. q) = 0 are compatible if %3D %3D a(f,g) Ə(1,p) a(f, g) = 0. a(y,p)

Q: (b) If z r+ry- y7, 1= u+ and y = 2uv, find: in terms of du %3D u and v.

A:

Q: 2. f(х, у) 3 а? —гу + у? then ,is

A: Given: fx,y=x2-xy+y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Find Vƒ(P) and D7f(P). (a) f(r, y, 2) = yf + z² – 4xz; Ū = } i – $ j+ k; P(-2,1,3)

A:

Q: f(y) = 3{/v +Vv- 2V a. f'(V) = 12y O b. 9Ny-6Vy-8/y 12y Oc. 9y +6Vy- 8v 12y O d. 9+6Vy +8Vy 12y

A: Topic:- Derivative  correct option = c

Q: f(x, у, 2) dV

A: Given data:     The expression for the given integral is The given function is: f(x,y,z)=e5z. The…

Q: Calculate Jazyz if Ax,y,2) = 5x³ + 7x²y³ + 2y³ + 2z³. O A frzy: = 5x2 - 7xy O B. frzy2 = O C. None…

A:

Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7,-5)

A: The given integral is ∫C2x-y dx+x+5y dy where C is the line from 0,0 to  0,-5 and  0,-5 to 7,-5. To…

Q: Consider the two following graphs and answer the following questions. a) Are G and H isomorphic?…

A: The graphs given are as follows:

Q: The set of all linearly independent solutions of D.E yY-y 0 is Select one: a. (1,t,e',e ) b.…

A:

Q: Soly

A: Given  u = ( -1 , 0, 1, 1)   v = ( 2, 3, -1, 0)

Q: dw Find ду dw at the point (w, x, y, z) = (3, - 1, - 1, - 1) if w = x3y? + yz-z° and x2 + y? +z? =…

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. JC C: x-axis from (0, 0) to (0, -3) and (0, -3) to (9, -3)

A:

Q: Determine D,f (4,-1,6) for f(x,y,z) = ery + 4zx in the direction of (-3,2,6).

A: Given fx,y,z=ex2y+4zx3 in the direction of -3,2,6

Q: (D - 3D% Dy+ 4 Dg )u = e+ Ans. u= 中ーx)+中2+2x)+x中2iy+2x)+ る ×2 +る

A:

Q: et f(x, у, z) %3 ху + z', Р %3D (3, 9, 1

A:

Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (6, -5)

A: We need to solve integral problem.