3. If z = f (x, y), where x = e“ – e® and y = e® – e", show that UTM UTM az az UTM X : az - ду dx UTM UTM UTM

Q: Let w = xydx + 2xdy - ydz E 2'(R) and let a: R a(u, v) = (uv, u², 3u + v). Compute do, a*o, d(a*o),…

A: Given ω=xy dx+ 2x dy - y dz in Ω1ℝ3x,y,z And let α:ℝu,v2→ℝx,y,z3 be given by  αu,v=uv, u2, 3u+v. To…

Q: az əz If z= f(x,y), where x = (s+1) , y = (s- t). Then Əs at

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Q: If f(x, y, z) = excosy + z, show that fxx + fyy + fzz = 0

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Q: let X~beta(a,b). find m.g.f ofY=ln| 1-x

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Q: Let x, y ∈ R. Suppose x^2 +y^2 = 0. Prove that x = 0 and y = 0.

A:

Q: Lw(s) ~ 1 – Show that 1 is MTTF where

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Q: Let F = (x^3 − 2yz, tan^−1(y^2 + z), −z + 1). a) Find div F b) Determine if F is conservative

A: The given function is

Q: QO use best linear approximation to (F(Xiy) = ²³ to estimate the value of f at the point (0.0),…

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Q: aw aw = f(s³ + t²) and f'(x) = e*. Find and at əs Assume that w=f[s]

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Q: Let f(t) = 3t – 8t + 5e'. - Then f'(t) =

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Q: Determine whether the equation defines y as a linear function of x. If so, write it in the for…

A: For the given function, 2√x +3y= 0 3y= -2√x y= -(2/3)*√x So y is not a linear function of x.  Option…

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: b) Given z = f(x -y, 2x - 2y, 3x – 3y). Show that dz dz 0. ду

A: The solution is given as

Q: the impermissible value of x for the function y = 1 / (e ^ 2x-1) is: a) 1 b) 0 c) 1 d) e

A:

Q: Ql if (x,y,z) =o and Z"=x+Y find d2 (using di f Beren tials concept)

A: Given  If f(x,y,z) = 0 and z2 = x + y

Q: dy dalam dr Gunakanlah diferensiasi parsial untuk menentukan pernyataan untuk kasus-kasus berikut:…

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

Q: Determine óx' Determine óy' determine Tx'y'

A:

Q: Linearization X = a [4 (b+y)

A: Note: As nothing mentioned about a and b, we will be taking them as constants in general. Further,…

Q: 6) If y=x² +1+ f dt , prove that y"= 2 - x2

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Q: If f =x-e" and F=x'yi-2y'zj + xy'z'k, find: div(F x grad(yf )) at (4,1,-2)

A: The function                     Then, we have to find

Q: If f(x, y) = (2x? + 8y²)í, then f_(0, 0) = %3D A) 0 В) 1 C) 4 D) 2 E) Does not exist

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Q: *י 4** *)א hauoded

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Q: af Let f(x, y) = x³y + 8. Compute (1, 2) and -(1, 2). ax ду

A: Given: fx,y=x3y+8

Q: Resolva pelo método dos coeficientes indeterminados : y" +4y=e* + sen2x

A:

Q: Prove that √ ²07²dx = √= So e

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Q: Salve it passible mehad (a) of 2 separalian A variabld Uxx= cur ul0,t)= 0, uct) = To+ %3D ulu,0) (2)

A: According to our company policy, I am supposed to answer only one question at a time. For the rest…

Q: Let X ~ Exp(λ). Find F(X) and E(X).

A: Let X ~ Exp(λ)The probability density function of X is fx(x)=e-λx   ;x>0

Q: When finding the orthogonal trajectory of the family of curves y = k x³, we dy get dx 2x y Зу 2у 3x…

A:

Q: Let F(x) = ₁ In(cott + 10) dt, Find F'(x)

A: The given problem is to find the derivative of function F(x). Given F(x) is Integral Function. We…

Q: If x = v'u and y = 2uv, show that JJ' - 1, where J is the jacobian of u,v with respect to x and y…

A: We have find the jacobian