(C) F=EB.C.D(1, 5, 12, 13, 14, 15) + d(7, 9) 'A,B

Q: If f(x, y) = (17x - y)3, then is given by: af dy (17x (17 – ) 13 - 18 (17x 13 - - 13 Y)2 – ) 18 (17x…

A:

Q: Let fx,y) = 1– 2x* + 6y?. Then, 8,(1, 1) – 35,(1,1) =? .

A:

Q: Find the domain and range of:

A: (a) We know that the domain of the square root function is always greater than equal to 0. Thus,…

Q: ху f(x,y,z) =- х+у+z

A:

Q: Suppose f(x, y) = x" + y*. Find fa(1, 1), f,(1, 1), and fz (x, y)

A: Given :f(x,y)=xy+yx

Q: 5. If u = e1#1+az#2++anIn, where a² + a³ + · ·..+ a = 1, show %3D + = U dx?

A:

Q: Calculate ∬Sf(x,y,z)dS For x^2+y^2=9,0≤z≤3;f(x,y,z)=e^(−z) ∬Sf(x,y,z)dS= ?

A: Find the parametric equation for the given curves.

Q: f(x,y,z) = 6x^2 + 3xy - 2z^3   fx​(x,y,z)= ? fy​(x,y,z)= ? fz​(x,y,z)= ? fyx​(x,y,z)= ?

A:

Q: If F (s) = then %3D (s+1)2+4

A: Using inverse transform properties, f(t) is given.

Q: Suppose that V f p = (2, -4, 4). Is f increasing or decreasing at P in the direction v = (2, 1, 3)?

A: Given ,  ∇fp=2,-4,4    v=2,1,3

Q: Suppose f(x, y, z) =

A: Given,            f(x, y, z)=1x2+y2+z2 and W is the bottom half of a sphere of radius 6.

Q: (d) u =-,v = xy, = a' ху, 21

A: Consider the given information. (d) Consider the given values. u=12-12x2v=xy The equation of the…

Q: 3,4,s, then メ. rind PCX=5) , P(X==), P(x<2) P(XS2)

A: Given that  Let X denotes the random variable having values 1,2 ,3 ,4,5  We have to find P(X=5),…

Q: --Let f(x, y, z) = x²y z +2ye²+7, find Se Əx = ? af =? ду =? axdz

A: f(x,y,z) = x2yz +2yez +7 df/dx = 2xyz  df/dy = x2z + 2ez df/dz = x2y +2yez d2f/dxdz = 2xy

Q: dy If y = e8z+13 then- dx O 7e8z+13 O 13e8z+13 O 9e8z+13 O 8e8z+13 O 104e8z+13

A:

Q: Evaluate [/FO f(x, y, z) ds. f(x, y, z) = xy Z S: z = x² + y², 9 ≤ x² + y² ≤ 81

A:

Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: Let F(x, y) = (In(y) + , In(x) + =) and C the straight line from (1, 1) to (2,3) followed by the…

A:

Q: If f(x,y,z) = e* and g(x,y,z) = y – z Then, V (fg) will be;

A: Given fx,y,z=ex, gx,y,z=y-z

Q: Let f: R -----> R be defined by: Vx ER, 3 ifx #2, fr ifx =2' Then: as x -> 2, fx -> 3. Show: Vɛ > 0,…

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Q: af (x,y) f(x, y)=xe"+* 5 у, Х (а) Сompute y af(x,y) X f(x, y)=xe³"+* ,5 у (b) Compute ду y

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Q: 4. If /(r.y)=- , find f, and f,. V+y

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Q: af (2,0) ay f(x, y) 3D хетУ + 5у%; af (2, 0) = Əy

A:

Q: If x, +iy,=x,+ iv, then x =y,

A: Given x1 + iy1 = x2 + iy2

Q: Fd thedrc euen dar Vede CiF onthe ker the estny(0.V, Of

A: Given function

Q: im(z,v) →(0,0) F(x, y).

A:

Q: O Civen w (2-31, XL-4,9),Y(S,y) and z(-1,1) find the Value so that ux LYZ

A:

Q: af(x, y) If f(x, y, z) = , then is equal to dz (y – 2)² (y – 2)? O 1 2z – x – y (y – z)?

A: Given problem:-

Q: If F (s) = (s+2)2+4 , then

A:

Q: Creular Decaululiom x/lyecn)= [3,5, 4), X= [1,2,1] Tad han)? 1 2. 2, + 3.

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Q: 3 For f(x,y) = In x+y°, 4,8)

A:

Q: Vy + z f(x, у, 2) 3 (а) f(1, 5, 4) (b) f(6, 7, –2)

A:

Q: For f dw ,w = w-wa O w = u^(1/3) O w = u^3 %3D O w = u^(2/3) w = u O O

A: The formulas used are 1.∫dxax+b=1aln(ax+b)+c2.ddxxn=nxn-1

Q: chere F(r, y, z) =

A: Stokes theorem

Q: Calculate f,e,5 as if f(x,y, z) = z In Vxy

A: here we have to find the functional value

Q: hao that rectors X, - (1,-3,0,2) 3 E1,-2,', 3) ace dinac deandent. Kx C2,1,1, 1)

A:

Q: f (x, y) = {* - kx(x — у),0 <x< 2,-х <у<х elsewhere

A: (i) Consider the property for a joint PDF, ∫-∞∞∫-∞∞fx,ydydx=1 Substitute the values,…

Q: 7 Gi ven that / f(z)dz =, what is / f(r)dr? 3'

A: Given∫48f(x)dx=73

Q: show: o f(2) dz f(2)dz (Z-Zo) (C) (2-20)2 (C)

A:

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

A:

Q: O Let f(x, y) = (5æ – y)°. Then -

A: We can find the required partial derivatives as below

Q: what ase the Coor dinatos of the Ha reflectiaw across yーメ imonge k (-S,-2), AL-4,'), ico,-),J…

A: Given point is : k-5,-2A-4,1i0,-1J-2,-24  To find the reflection of point about y=x

Q: 28. f,(2,4) if f(x, y) = x* In y

A:

Q: F(u,v)=(uv)e, +(2uv)e, a) Is conservative?

A: For calculating the vector is conservative or not. We will have to find out curl of the given vector…

Q: toxyız)=e xehe of Lexe fie rehe rexe

A:

Q: located at (1,8), D is located at (4, 5), and E is located at (x, y). What are the values of x and…

A:

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

A:

Q: ncuentra la solución general de la EDP az az 2, дх ду (1+ z-x-y) necar si existe una solución que no…

A:

Q: OC {(z, 9) 2? + y? z and z € (-1,1]}- O D. {(x, y) + y? z}-

A: We have to check