Vg The value of r = |7| »how g(r) = &ï = xi + yj + z let she

Q: xyz 3. If (x, y.2)= In +ef), find f,,f, and f.. 4

A: Given: fx,y,z=lnxyz4+e-3xy2z2 The objective is to find fx, fy and fz

Q: 3 f(z) = %3D I +3

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Q: f (x, y) = 3x²: f (x, y) = x² + 3y²: f (x, y) = y – 2x?: f (x, y) = 5x² – 5y²:

A: The function f(x,y)=3x2  Level curves are made by fixing values of fx,y=k.…

Q: PROVING If z = Ax^3 + Bx^2y + Cxy^2 + Dy^3 show that xz(subscript)x + yz(subscript)y = 3z

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Q: (a) f(r) = -2x at (-1,2) 3x at (1,3) (b) S(x) = %3D

A: The equation to the tangent line is generally calculating by estimating the slope value of the cure…

Q: 3. ARV is described by: *+Y, 0<x<2,0< y<2 8. f(x, y) = 0, otherwise. Find VAR((X+Y)/2)

A: Given function is f(x,y)={x+y8 ; 0&lt;x&lt;2,0&lt;&lt;20   ,        otherwise

Q: ху f(x,y,z) =- х+у+z

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Q: 22) About the x-axis y = 5 x =V25 - y2 X =' + 3 4 5 х 2. 3. 2.

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Q: v² =v² +2a(s-s) i. j. K = = kx² 2 k. T = 27 е g ,a = ,X = ,g =

A: This question can be solved using the concept of explicit function.

Q: (2siny + 1) = 4 and y(0) = what is x when y =n?

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Q: x1, x2, x3...... x20000 iid U(2, 9), find approximation for 2X-20

A: Central Limit Theorem : If X1, X2 ..... Xn are iid random variable with mean μ and Variance σ2 then,…

Q: f (x, y) = 169 x² + y² at (-3,2).

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Q: Solve 2 secx- 5 secx+ 2 = 0 on the interval x e [0, 2x] %3D

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Q: 15. f(x, y) = xy /x² + y V9 – x² – y? 16. f(x, y) ▪ x + 2y + y? x² – y? 17. f(x, y) *

A: 1.  fx,y=xyx2+y2.  fx,y=9-x2-y2x+2y3.  fx,y=x2+y2x2-y2

Q: find the volume of the solid

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Q: Integrate by switching to spherical coordinates.

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Q: ス+)V2x+x dxメ

A: Given,          ∫x+12x+x2dx

Q: y show that = 0. . If z: x² + y² II

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Q: F = [r. -x, 0]. = [y. -X, S: 3r + 2y + := 6, x2 0, v 2 0, z 2 0

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Q: 4) f(x, y,z) = /1– x² – y² – z²

A: Domain is the subset of R3 where the function is defined

Q: 2. T1: R2 - R2, T1(x, y) = (x – 2y, 5x + 2y) T2: R2 - R2, T2(x, y) = (0, x)

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Q: Describe and sketch the surface given by the function.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Ax) %3D х* — Лх2 - 12x where A> = > — Лх? — ЛЕx where ^> v that fis one-to-one on S = [- rmine f(S).…

A: Given, fx=x3-λx2-λ2x,  λ&gt;0

Q: .2 f(x, y, z) = 4xy – 8xyz + 7yz² f,(x. y, z) = &xy– 8yz fy(x, y, z) = | 4x- - 8x2 f.(x, y, z) =…

A: To find the first partial derivatives of: f(x,y,z)=4x2y-8xyz+7yz2

Q: f(x, y, z) = 2 ≤ x ≤ 10,0 ≤ y ≤ 4,0 ≤ z ≤4

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Q: f(2ecz tan z - 6z")dz=_ • tan z+z+e secz+z+e • secz-z+e - secz-z+c •- secz+z+e

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: I(n) = ;n² - 글까-10 5-2t h(t) = t- 1 %3D S(h(0.5)) =

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Q: Ar)- (xr+1 - })* + (%, – )* + (xr-1 - )* + (y. – )² + (x, – ) + (y+1 - }) + (x, – })* + (y.-1- }) -4…

A: Given that, Lhϕr, s=1△x2ϕr+1,s+ϕr-1, s+ϕr, s+1+ϕr, s-1-4ϕr,…

Q: What value of c will satisfy y(x) = c(1 – x²) given y(2) = 1 ? %3D ) Option 1 Option 2 2.

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Q: af(x,yz) -

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Q: Lion 1-y If x = Show that 1+y dy V1-y

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Q: o three steps atthe Secaut £(X) X-2 Using X-0 %3D

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Q: 2. x'y-x'y 12 at (-1,2)

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Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: Q3. Integrate (x-1)(r+1)

A: To find the integration

Q: y = x"-9 (x 20) X=0, y=D, about the Xaxis %3D

A: To find the volume of curve , towards the rotation about x - axis.

Q: fin y" given that x^2 - xy + y^2 =3

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Q: The between cuefficient of corteletion X and'y のメー ag and and の2=114 what is constant a2 where x…

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Q: I+2y 2. r2 = %3D I-2y

A: We have to find the differentiation y'.     According to our guidelines we can solve only one…

Q: Q3: Find the value of n which F(x, y, z) = (x +y +z*)" to satisfy fxx +fyy+ fz= 0. 1

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Q: y = Vx – 4 А. Domain: х > 4 Range : y 0 Range : y > –4 D. Domain: х > 4 Range : y > 0

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Q: X (2x +1) ax wing u- technique

A: To evaluate the integral: ∫x2x+12 dx Solution: Integration by parts states that: ∫uv dx=u∫v dx-∫u'∫v…

Q: x=k y=1. kER 2=k x=1+k y=k ,kER z=1+k x=1 kFR

A: we have to find the parametric equation of the line that passes through origin and A(1,0,1).

Q: 3. f(x,y, z) = e-Tyz.

A: Need to find derivative of given function

Q: y" = 4(y-x), 0 sxs1, y(0) = 0, y(1) = 2, %3D

A: To check: given 2(a)  has unique solution.

Q: 6x + 6 13 dx Evaluate - x4 -3 О З2? + 2 - 13x + C, Where C is the parameter O 3x2 – 2 3 – 13x + C,…

A: We have to find

Q: max z = x1 + x2 X1 + x2 < 4 X - x2 2 5 s.t. X1, X2 2 ()

A: We will solve this question from the graphical method . We will see that if the two inequality has…

Q: seParable 5い / / とll y=2メJタ! 4 xx

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Q: f(L,K) + x [loo-PeL-Pak] max dQ

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