I fay-$ dydx Sz{A with uertis (o,0),(1,1), Clo, ) Ans (6) |

Q: 1 В(т, п) ym-1(a – y)"-'dy. am+n-1

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Q: X=4uv-2u, y= - (uv +8uvw), and Z:9uvw Find acx.y,z) =

A: We have to find Jacobian.

Q: Transform triangle ABC with vertices A (4,0), B(0, 2), and C(-2, -1) as shown. RO. 1800(ABC) A'. В'…

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Q: If x = u?(u? - 1)2 and y = (3u2- 1)2, then what is the value of dy/dx? A none of the given choices 3…

A: I am attaching image so that you understand each and every step.

Q: Can you help me solve and understand d-f? Given a=3 and b=4

A: (d) Product of x:The value of product of x is obtained as 210.

Q: poin If g(u) —D V9u + 3 then g' (u) =

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Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)

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Q: 3) Express aw/ar and aw/as in terms of r and s if w = x +2y+z², x = 5, y = r² + Ins, z = 2r

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Q: ) Differentiate: Y(u) = (u-2+u-³)(u³ + 3u?) и и

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Q: Previous 8) Find y' if y = (2x - 1)(x + 1). %3D a) O 4x + 1 b) O -4x + 1 c) O 4x - 1 d) O -4x - 1

A: We have to find derivative

Q: У ,ーテ = ,-, + テ-テ - y = y: ij ij i. i. and (y;-y 10, – 7,) + 6, - 7) | ij ij i. ーリ-bー)+G.-) 2 2 2…

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Q: 5) What is the maximum value of y = 5 Cos 4x ?

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Q: Solve. a) y - e" cosy b) +2y= + 2y 6e **-+(Let u - )

A: Since you have asked multiple subparts of this question, we will solve the first three subparts…

Q: B. Non- homogeneous Higher Ordered LDE 2 1.D +50² + 8D -9) y - 69x²e-*

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Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

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Q: O: Given a rv.*=12, 3,4,5, then (') (Evaluate () the ond 2non Centeral monent of X. ....

A: 1. X=1, 2, 3, 4, 5. P D F of X:

Q: (3x + 15)° (y +30)° (Зх - 15)° x = 30 ;y = 45

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Q: əz ax+by+sin(ax +by) show that b əx Q5-A) If z = (ax +by)² +e+by+sin( ax a Əz dy

A: The given problem is to show the following condition for the given multivariate function of z.

Q: if A = {1,2,3 } , B. {4,5},U={ 1,2,3, 4,5} %3D %3D find: A -B = AUB = A OB = Aʻ -B' = PCB) = %3D %3D…

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Q: O Civen w (2-31, XL-4,9),Y(S,y) and z(-1,1) find the Value so that ux LYZ

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Q: If fiz)= 2³+e², and Cis the contour е z = 8e¹t 04+≤2π ost≤2 Find [ f(z)dz = ? (z+iR)³

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Q: bj f(x,y)= еху cЈ fexiy>= x cosx cобу p² d.j fexiys= (x'y 2) log (x'ty ?).

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Q: DUN PP 금 (8) 시대 1 ㅎㅎ ㅎ ㅎㅎ ||| AP dx y = u² and u = x² + 2 ***** DUE (b) y = u and u = 4x² ay I 이미…

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Q: i) L-- (In) L- | s-3 6s+3 ii) L-1 iii) L(tet cos wt) s+1 sª+5s2+4,

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Q: 1) S“(cosx)" dx. 2) Г(-4). 3) В (10,9) 4) Sº x° e-2* dx Ja-x)i 5) o

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Q: d²y and dx2 Find dy then simplify whenever possible. dx 1) y = 3t5 – 2t x = 4t3

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

Q: 1) Find ôz l ôu and ôzlôv for z= 4e* In(y), x= In(u cos(v)), y=u sin(v) at the point (u,v)=(2,7/4).…

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Q: for 3x'z -x'y² +2z + 3xy = 0 ( Hint: Let %3D F(x,y,z) = 3x z - x'y? + 2z +3xy) %3D

A: Explanation of the answer is as follows

Q: true or false ?

A: Given that,yiv+1ty'=g(t)The wronskian of the differential equation is calculated as shown below.

Q: Question 8 Suppose f(x, y) = x²y + xy³. Find fry (0, 1). A) 2xy + x²y' + y² + 3xy²y' B) 5 C) 3 D) x²…

A: Given: fx, y=x2y+xy3 To find: fxy0, 1.

Q: Find aw in terms u and v if du w= In(x2+y2 +z²), x = ue" sin u, y = ue' cos u, z = ue"; (u, v) =…

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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: Compute the Jacobian at the indicated point. G(r, t) = (r sin (t), r — cos (t)), (r, t) = =(5,2)…

A: Jacobian of the function