Evaluate f(x, y, z) ds. Js f(x, y, z) = x2 + y2 + z2 S: x + y = 36, 0 SxS 6, OszS X %3D !3!

Q: Evaluate |[[p(4z + 3y² + 2x)dV = {(x, y, z) | 0<x < 2,0 sys 2, 0 s z < 1} .

A: We have to evaluate the triple integral given below: ∭B4z3+3y2+2xdV  Here, the region B in three…

Q: Find V. (F x G), if F(x, y, z) = 16xi +j+8yk and G(x, y, z) = xi + yj - zk.

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Q: Find the S(x* +) dx xe-1 А. 1x? + c e-1 4e xe+1 В. Ix2 + c e+1 2e xe+1 С. 1x3 + c e-1 Зе xe+1 1 D.…

A: Given query is to find the derivative of the expression.

Q: Let F(x, y, z) = x3³yz² - 6x²yz + 9xz - 2y³z. Find F Fxyz' 3x²yz² - 12xyz +9z+ x³z² − 6x²z − 6y²z +…

A: This question is based on Partial Derivative.

Q: If f(x, y) = In (2x-3y), then find of ||

A: We can solve this problem using partial derivatives.

Q: u = Vx + 5 (x + 1) then du/dx is Зх — 11 Зх + 11 2 Vx + 5 2 Vx + 5 A 3x + 10 Зх — 10 2 Vx + 5 2 Vx +…

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Q: 2sin2y=2cosy

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Q: 2. If F(x, y, z) = 2z3 – 3(x² + y²)z, then verify that Frx + Fyy + F2 = 0. %3D

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Q: (b) F= Ewxv(4, 5, 9, 13, 15) + d(0, 1, 7, 11, 12) w,x,y,z

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Q: Evaluate |(a,b)=(0,0) given that f(x, y) = 3x² + [y]; x = e²a+b₁ e²a+b; y = a² + t² + 1 да

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Q: Find div F if F(x, y, z) = (x2 + y) i + z2 j + (ey - z) k.           A . 2xy i + k          B. 2x…

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Q: Find the aven bounded by y=x and y =x+2

A: First draw the graph of the function and find the intersection point of the graph:

Q: Sv.Vdxdy = dxdy = ду 2 + JR V.(6,x)-V,(b,x)]áx + [ [7 (a, y) –V,(0,v)ky.

A: Here is the solution of the given problem.

Q: for z = In(2® + y*). Find

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Q: of of and ду Find f(x,y) = Vx + 3y?

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Q: Let f (x, y) = Vy – 2x Evaluate f(3, 10)

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Q: Describe the domain of: Зху 3) f(x, y,z) = 4) f(x, y,z) = 1-x² – y² – z2 z- VX

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Q: Find the real numbers x,y,z,t if -3x +y+ zt = 0 3x + y(t – 1) – z(t+ 1) = 0 3x +y+ zt =t+2 - 3x +…

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Q: Find fr, fre and fy if: f(x, y, z) = xy + yz + xz %3D

A: We have - f(x,y,z) =xy+yz+xz To Find - fxz, fyz, fxy

Q: Let f(x, y, z) = yexyz², then fxz is: Select one: O (4xyz + 2x²y³z²)exyz² O None of these O (2xy² +…

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Q: Find f, (8,2) if f(x.y) = e* - 5y.

A: We can find the answer as below

Q: Where did F(x, y, z) = Em(1,4,5) come from

A: The steps to follow to write a function in SOP form:    1. Write AND terms for each input…

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

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Q: Q/ Let x~P(m) and let y = 5x , find the p.d.f of y

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Q: (b) Calculate dx ds ду ds dz ds II || ||

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Q: Let z = 6exv , find dz %3D

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Q: Let \n (xy) + y ² = x6+3 find dy ax

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Q: 2 2 ex: f(x, y, z) = x² - by ² fx (x, y, z) = fy(x, y, z) = fz(x, y, z) = 2 ezete

A: f(x, y, z) = (x2 - 6y2)/(y2 + 2z2)    =&gt; fx(x, y, z) = ∂/∂x [(x2 - 6y2)/(y2 + 2z2)]…

Q: Find fr and fy for f(x,y) = I+y fz = /(r+y)? and fy = /(r+y)2

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Q: Negate the statement Vxy[(Q(x) → (C(y) ^ H(x, y))] such that every negation appears to the right of…

A: Given: A statement, ∀x∃yQ(x)→C(y)∧H(x, y), where C(x) stands for x is a cloobledoo, G(x) stands for…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.