5. Determine the combination V x (Vf) given that X" + y"

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Q: 7. Differentiate a) f(x) = ev==t and b) h(x)= (5x² – 8r)e**-4". %3D

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Q: Q3) If f(x, y²) = x² + y² + vxy find af(x².y) and (x²y) ax ду

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Q: If y(x) satisfies y′′(x)=y′(x)(1−y′(x)),y′(0)=1/3,y(0)=1, then y(x)=?

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Q: Q.6 Show that: X-1 X+ y – 1(x-1y)= B(x,y)

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Q: Compute f, aL a2f and :f(x, y) = (x + y)(2x + y)² ax' ay дхду

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Q: Bind/x(n) X(n) if XCZ) Z² (Z-1) (Z-0.5)' Z² N

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Q: 1. Find x, y, and z so that x + y 4x 2y -16 -- y 11 4 Z

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Q: 1. If y = In(V x² +1 ) , then y' = 2x (b): 2x (a) x² +1 3(x2 +1) () 3(x2 +1)-2/3 (d) 3(x2 +1)

A: y=lnx2+13⇒y=lnx2+113⇒y=13·lnx2+1   ∵lnxy=ylnx

Q: 8.) if z = x +jy, then Rez + Imz= (2+2) + ½/₂ (2-2²)

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

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Q: 1- S, (xy – y³)dA (1,y]x[0,1]

A: Please ask only one question at a time.

Q: If Cov(x, y) = 0, that means: x and y are dependent. Option 2 f(x,y) = f₁(x)f2(y) Option 1 E(xy) =…

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Q: #32 Find y' if Yu X-T + X.J9+ =XY

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Q: Q4- Given y = u2-1 and u = Vx2 +2 find y u2+1

A: Consider the equation On finding the derivative with respect to u

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Q: 3. Show that S4 has the presentation (x, y|x* = y² = (xy) = 1). %3D

A: To show: S4 has the presentation x,y| x4=y2=(xy)3=1

Q: (b) If z =W, show that: x- y xy 0 =

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Q: Show that A Yk= V' Yk+r

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Q: س 1: أختر الاجاية الصحيحة لمجال ومدى الدالة 4 - f(x( = x2 ثم اختر الرسم البياني الصحيح؟ Dr = R & Rf…

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Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x +1)? Select the correct answer below: In (3z2 + 4z + 3)…

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Q: b) By using the given substitutions, show that i. Sx(x – 3)5dx =÷(x- 3)“(2x + 1) + C, z = x - 3 14…

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Q: Find and d?z and prove that 2 0²z IF 2 = f(xt ay) + F CX-ay) %3D

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Q: 1 Let D = (x, y) : 9 < x² + y² < 25, –y < x < V3 /| 4æydA Evaluate

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Q: 7. Prove that if v >-1/2 ; p) = L{xvJ, (; = xı-at-a) H

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Q: 2. f(x,y) = x5 In(y)

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Q: 8. Show that jxk i.jxk (а) і— kxi (b) j= i.jxk ixj (c) k =- i.jxk

A: Topic = Vector

Q: Let z = 3x*y, find Vz.

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Q: B/ If Ø = (x³y²z) and A = 2xzi - 3y2j+ 3xy²k Find a(A) at ду дх the point (2, -1, 3)?

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Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

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Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x + 1)? Select the correct answer below: O In (3z² + 4æ +…

A: Given, rx=lnx3+2x2+3x+1

Q: Q3) If f (x, y²) = x² + y² + Vxy find : af(x²y) %3D and (x2y) ax ду

A: This question is based on Partial differentiation.

Q: j. Min Z = 12x, + 8x, subject to: 4x, + 2x, 2 24 2x, + 2x, 2 10 2x, < 8 X,, X2 20

A: To solve the Linear programming problem using the graphical method  Consider the constraints as…

Q: Calculate ∂ω/∂z for ω=e -2xe((z^2)y)

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A: NOTE: Refresh your page if you can't see any equations. . the given solution is…

Q: 4. Now, determine the value of c in (0,1) such that f'(c) = 2 %3D fx) =4x

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Q: əz əz +y show that x 3z x²y2 B. If z əx ду %| x+y’

A: B). From the given function: z=x2y2x+y And x∂z∂x+y∂z∂y=3z As we know that the Quotient rule:…

Q: 7. Compute , and- axay : f(x,y) = (x + y)(2x + y)² ax 'ay

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Q: 4. Now, determine the value of c in (0,1) such that f'(c) = 2 fx) =4x

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Q: g) Suppose y² + [S(z)]² = 2, then (7,1)

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Q: Let f(x, y) = x² + y2 + 2x + 4 and P,(-1,0) then Vfle, is i – j. True False

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Q: If f(x, y, z) = In(2 + x² – 2y² – 3z), 7 =, then Duf(2, –1, 1) = - A) * V3 B) 11 C) V3 D) E)

A: The given function is:    f(x,y,z)=ln2+x2-2y2-3z

Q: :) Suppose X1, X2 ~ Uniform(0,2) are independent and Y =2X,+X2 . Find P(Y < 2). h:1:

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Q: 6. Differentiate y with respect to x using A-method. x-3 a. y = X b. у %3D V4x + 3

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Q: Let X = n(µ,4) and Var(2x) = E(4–7x) find %3D H.

A: Given: a random variable X follows normal distribution. Mathematically, X~N(μ,4) The expected value…

Q: If y(x) satisfies y′′(x)=y′(x)(1−y′(x)),y′(0)=13,y(0)=1, then y(x)=?

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Q: 16. Find the points of intersection of x' = 4y and y= 4x. (as:(0,0,(16,64)

A: My Dear student according to the rules of Bartleby we can solve only one question post others as a…

Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…

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