Determine E (X) and V (X) y f(x, y) -1.0 -2 1/3 -0.5 -1 1/6 0.5 1 1/6 1.0 2 1/3

Q: 3. Find fz and fy where f(x,y) = In(x + y²).

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Q: The Critical Point of y = xe*

A: Given; y=xe^x

Q: e function f(x, y) = (x – 1)² + (y – 1)² subject to the constriant

A: The given function is f(x,y)=x-12+y-12 and subjects to the constraint x2+y2=8 the formula for the…

Q: VX-2 H Evaluate dy/sx if O y=1X+1)“ Szx-1 at x=\ V(X+3)3 atメ=1 at X-3

A: Reupload other questions according to bartleby guidelines

Q: verify that w xy= w yx. w = e^x + x ln y + y ln x

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Q: xyz 3. If f(x, y,z)= In| +e 2 find f,, f, and f..

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Q: Show that E [x(t)] = 0. %3D

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Q: Find all antiderivatives of function:  f (x) = e-3x

A: Consider the given function. fx=e-3x We have to find  I=∫e-3x dx   Substitute -3x=u -3dx=dudx=-du3

Q: find ∇f at the given point. ƒ(x, y, z) = (x2 + y2 + z2)^(-1/2) + ln (xyz), (-1, 2, -2)

A: Given function is  Firstly, we find all first order partial derivatives of f

Q: If f (x, y) = V3+ y³ In (x² + y³)ešin(zy+y*) + x² + 10y.then fz (1,0) = %3D

A: We need to differentiate the given function partially w.r.t x. The given function is: f(x,y)=x3+y33…

Q: Solve the initial value problem for y as a function of x. (x² + 25) dy %3D 29, у(5) %3D 0 dx

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Q: In Exercises, find the first and second derivatives.5. y = 4x3/ 3 - x + 2ex        6. y = x3/3 +…

A: To find the first and second derivative: y=43x3-x+2ex Solution: Here, y=43x3-x+2ex Differentiating…

Q: The derivative of y= (V x - 2 )(Vx+1) is equal to: х - 1 A 2x+1/x-2 2х-1 B Jx+1/x=2 2х-2 2/x+1/x-2 D…

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Q: 2. [f 5y ey dA, F- {(x, y): 0 s x s y?, 0 s ys 2} F

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Q: x(T-X) ○<Xくす f(x)= -Tく×<。 X(T+x) -T<Xへp

A: Given that f(x)=x(π-x),                  0&lt;x&lt;πx(π+x),                  -π&lt;x&lt;0 To find…

Q: xy + e^y = ln(x + y) defines y as a function of x implicitly for the most part. Express dy/dx in…

A: Given an equation, Where y is a function of x.

Q: f(x, y) = 9xye(x² + y²) f(0, 0) = f(0, 1) = = f(1, 1) = ==== f(-1, -1) =

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Q: Eliminate the arbitrary constants y Iny = C,e "+ C, X-

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Q: e If F(x) = | e dt, find F(1) and F'(x). ez

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Q: /// 2xz dV where = {(x, y, z) | 1 < x < 4, x < y < 2æ, 0 < z < x + 3y} Evaluate E E %3D

A: We are asked to evaluate the integral.

Q: 1. Find the relative maxima and minima of y by the second-derivative test: (a) y = --2x? + 8x + 25…

A: Consider the provided question, According to you we have to solve the part (b), (c) and (d). (b)

Q: f(x, y, z) = e-3zyz 三 fy = 三 ニ f.

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Q: (b) Evaluate (e) Given the function Rx) (x-2 + (y-3) O Find the critical points. (1)

A: The details calculation is given below

Q: xsin 1x Vx+1 2tan-x Vx+1 2tan-1x QI) Find of y=: e2x+1

A: We will find dy/dx as following .

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = ln (x + 2y + 3z)

A: Given, ƒ(x, y, z) = ln (x + 2y + 3z)

Q: 6 X, 一T Sx< 0, 10, f(x) = %3D f(x+27) = f(x) 0 <x < T;

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: (e) 3x E R, Vy E R, xy > 0. (f) Vx E R, 3y E R, xy > 0. (g) 3x E R, Vy E R, xy > 0.

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Q: fy = e*, y = 1 - e-x, and x = 0 ab- %3D

A: Given: - The curves of, y=e-x, y=1-e-x and x=0 about y=4.5 To find: - The volume of a solid is…

Q: x²-x +Vx dx integralini hesaplayınız. x3

A: Please go through the attached solution. I hope that it  will help you .Thankyou . Best regards.

Q: Given a function y² z f(w, x, y, z) = 2(w + 1)²x - xe² + W which of the following is not part of the…

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Q: 1) Let f(x, y) = 6x, 0 < x < y < 1 and 0 elsewhere. Find d) f(ylx) e) E(Y|x)

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Q: A) Find the linearization of the function at the given point. f (x, y) = 1+ y ln (6 – xy), at (5, 1)…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: e function f m (0,0) to

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Q: 3. Find the derivative of y with respect to x in the following functions : u? a) y= u² +1 18x' y'…

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Q: XZ 3) cos(x)-x²y + e + yz = 4, P (0,1,2)

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Q: [2xy + yz (i) F(x,y, z) = x2 + xz with domain R³. || xY

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ution of yl = x+xy2 W

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Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = yz ln (xy)

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Q: Find the differential dy of each function: a) f(x) = 2x^1/3 - 3x^1/2 b) f(x) = ( x^2 +1) / (x+1)

A: we will find the derivative of given function using basic differentiation rules.

Q: Determine E (Y) and V(Y) f(x, y) -1.0 -2 1/4 -0.5 -1 1/2 1/8 1/8 0.5 1.0 2 Oa. None Ob. E(Y) = -0.03…

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Q: y" + 2y' +4y = u(t)*e^-(t-2); y(0) = 0, y'(0) = -1 , find L{y} (= Y(s) ).

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Q: Solution of+=e* using integrating factor is dy dx y= xe* + et y=xe*-e* −c x X Option 1 O

A: The given equation is;  dy/dx +y/x =ex.

Q: g(x) = I veA + t6 dt g'(x) =

A: Given: g(x)=∫0xt4+t6dt g'(x)=?

Q: = i) x(t) = j) Στο 1-t, 0<t<1 otherwise 0, e-it-2n|

A: Given that x(t)=1-t2 , 0&lt;t&lt;10 , otherwiseFor 0&lt;t&lt;1X(ω)=∫01(1-t2) e-jωt dt…

Q: 1. f (x, y, z) = x° ỹ + 4z°y² – xyz + x² – Vz -

A: Given that: f(x, y, z)=x3y+4z3y2-xyz+x2-z53               NOTE: As per our answering guidelines, we…

Q: e of the function g(x y, z) = 1/xz + e%.

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Q: Lety = xz – x² + xz² – 1. Find d'y evaluated at x=2, z=2, dx=1, and | - dz=1.

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Q: f(x) = Ae (x-b)2 2a2 - f(x) z e° ze-x²

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Q: y" (t) + 2y' (t) + y (t) = g (t) ; y (0) = 0, y' (0) = 0 (t + 1,0 < t < 4 2t, t 2 4 g(t) =

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Q: 1. Evaluate x dV where E = {(x, y, z) E R³ | 0 < z < x + y,0 < x < y°,0<y< 1}.

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