Q = find of るf and るこ for the Ganction f(xz)-ディズ メ+Z

Q: Find: that: fl4) = -8 f'(4)= -8 %3D glx)=r

A: Given: g(x)=x f(x)f(4)=-8f'(4)=-8

Q: f (2) = ) f (z) = 6 if<< 0,订号<<

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Q: Differentiate g(t) = (4t² – 3t + 2)-2 %3D

A: This question is related to differentiation, We will solve it using given information.

Q: (d) If F(x, y) = (4x² - y², -2xy), then f(x, y) =

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Q: 5-4y2 dy 3+2y

A: To evaluate ∫5-4y23+2ydy

Q: Find ƒx (x, y)  and ƒy( x, y) .

A: Differentiate the function f(x,y)=ln|2x2+y2| with respect to x and keeping y as constant and carry…

Q: For Vx 3 evaluate y when y = 4. 2

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Q: frove by indirect method that if X+y >5 then x>2 or 23

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Q: Differentiate .3 to 1-x3 w.r.t. x3.

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Q: 2 f(x,у) 3 V9- х* -Зу;B Р(3, - 3); 13 3 13

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Q: Evaluate f, Iz2 – 4| dz

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Q: Is F =Y. x> x+y? conservative

A: Proceed as shown

Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

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Q: f 4sin20 - 9 =-7, where 0 <0 < 2z,

A: 4sin2θ-9=-7;0≤θ&lt;2π Now, simplify the equation, 4sin2θ-9=-74sin2θ=-7+9sin2θ=24sinθ=±12

Q: TF x and y are orthon ormal rectors then Pind Value of Ilx+y12 - ||x-Y2

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Q: f(x) (28z +39)(2r 17)(5z 18)(7z 24) (24 7r)(5z 18)(28z +39)(39r 17) E) da como resultado:

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Q: Determine ¹{F}. 4s+6 2 S+4s+4 SF(s)-2F(s)=-

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Q: Calculate fx(l, 3) and /y(l, 3) for f (x, y) =

A: Given: fx,y=7x+y2

Q: If f(x,y,z) = 3zy²e* , grad f =

A: Here we have to find gradient of given function f(x, y, z).

Q: Find fyzy. 9,8 f(x, y) = x°y³ – 8x*y + x f yry yxY ||

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Q: 8. fz/25 – z² dz

A: Consider the provided integral, ∫z225-z2dz Evaluate the provided integral. Apply the method of…

Q: OLetL)%3DXD 3X-/0 when x+2-Fénd a value ff(2)that wall !! X-2 make fis Continueus at X-2

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Q: Using Reciprocal Substitution dz For f zV4z+z

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Q: y = v1- x+ x2 ||

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Q: 3x²y if (x, y) = (0, 0) + y? if (x, y) = (0, 0) f(x, y) = { x +

A: In this question, we have to check the continuity of a function of two variables.

Q: aluate 2zy when Z =- and y = 3. %3D

A: From the given data

Q: 4 – 5VX². 2 3,

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Q: Use L and L to solue y' t 3y= f4) y)=5, where f4), (32)

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Q: If x2 + y2 = 4 which has domain Dr=[-2,2] range Rf=[0,2]. Shrink and stretch it vertically by 3…

A: We are given:  x2+y2=4⇒y=4-x2=f(x) For shrinking vertically by 3 units , we have: f(x)→13f(x) Hence,…

Q: v(t) = t² – 3Vt, s(4) = 9 %3D s(t) = 2t 11 %3D - 3

A: Given query is to find position function.

Q: The R2 from regressing Y on X is the same as the R2 of regressing X on Y. True or false?

A: For a simple bivariate regression, the linear correlation coefficient and R-square will be the same…

Q: Q.1) Evaluate # dydx 4

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Q: the of olution using simplex me Max z = 8x, + 10x, + 7x3 s.t: 4x + 6x3 + 3x3 S 60 7x, + 2xz + 5x, S…

A: In this question, the concept of Linear Programming is applied. Simplex Method An approach to…

Q: For ORSTV, suppose that RT = VS. State an equation that relates s, t, and v. V (t, v) T (s + t, v) R…

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Q: Sa x5 √x² + 1dx

A: To integrate.

Q: Evaluate: [f 6x5e**y_dR_where R = {(x, y): 0 < x < 2, 0 <y< 2}

A: We will evaluate the following Integral

Q: Find fxxyzz for f(x, y, z) = z°y2in x. fxxyzz = -12z?y/x2 O fxxyzz = -12zylx fxxyzz = -12zylx2…

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Q: Use Runga-Kutta 4 to determine y(1.3) for f(r, y) = with y(1)%3D 1

A: Here we have to use Runga Kutta 4 method

Q: واجبات اوجد الكل م ما ياني o y = 2t2 + 1, t 5x r2 + 1 y = r = 6x O y = V2u, u = 2Vx

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Q: Decide whether it is possible to solve the equations xu? + yzv + x²z .xyv³ + 2zu -- u?v² = 2 for (u,…

A: 3.7 Given equations are xu2+yzv+x2z=3xyv3+2zu-u2v2=2 The points are  (x, y, z)≈(1, 1, 1) and  (u,…

Q: Q4. Calculate div F where F = grad(x' + y³ + z³ - 3xyz).

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Q: 4. y = vx + 2 x,for-

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Q: (d) 92--2 16, 2 = 2 Equation: Choose one - (e) z = 25x+ 9y, y = 2 Equation: Choose one (f) z = 25x +…

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Q: Find f(-5e3* + VE)dt

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Q: Q25olu t4e tellowngyst *+uy-2 42=42.8 *+2-64+2242,4 +2x+4gy-52=-38-96

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Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7.

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Q: Qu Sulve for x 2/3x-4 +5 =27

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

Q: Differentiate v1 +x² with respect to r.

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Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.

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Q: Let (-) - {. S 8x², x 9 Find the values of a and b so that f will be differentiable at x = 9. а i b…

A: For differentiable function, left hand derivative is equal to right hand derivative