a) Evaluate S S[22 +x3 + y5]dydx Evaluate Sxy +e*]dydx c) Evaluate f S[(* +1)²]dydx .3 2, b) -2 0.

Q: S x4X+1 2

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Q: Use algebraic manipulation to prove that (X +Y)(X + Y) = X

A: Given: X+YX+Y=X Now, first we shall simplify left hand side of equation.

Q: 3) yo'ty"-2y=Dxe"* %3D

A: Given that y"'+y"-2y=xe^(-x)

Q: 6. Find y" of (1 – 2x)³

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: E valuate:0 =4 j9

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

Q: 4 -2 Find: f (B) where f (x) = x^2 + 2x – 22. f(B) 1 -6 Let B =

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Q: Evaluate : dx O X+4

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Q: Let a = (-2,3, –4)" , y = (3,-2, -5)". (a) Find ||a||1. (b) Find ||a||2- (c) Find ||y||o-

A: Given Information -  x = -23-4  and  y = 3-2-5We have to find the following - (a) x1(b) x2(c) y∞…

Q: 4x – 7y x - 2y Add: х — Зу - 3 Зу — х'

A: Given: 4x-7yx-3y+x-2y3y-x For adding given expression, we take L.C.M. and simplify it

Q: f (x) = x²ex3-I

A: Given:        f(x) = x2 ex3-1

Q: Find: te (1 + Inx + ) he y? y+ylnx+ 2x O ylnx +y o 1 y x2 « Previous 98 %23 立

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Q: Expand f(2) = z-5)(=-15) in the domain 5 < |2 < 15 .

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Q: 3. a) Describe the transformations on y = 3* to sketch y = −4(3-×-2) + 4.

A: Curve or equation, y=3x

Q: Find x(t) for the following: X(s) = (a+1)(2+2) (-1)(s-2) Select one: O a. ¤(t) = (-6e t + 12e-2#…

A: Given:   X(s)=s+1s+2s-1s-2    Take partial fraction of s+1s+2(s-1)(s-2)…

Q: 6 Suppose s f(x) dx = 18 and f f(x) dx = 14 2 O 2 Find S ²fQ) dx

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Q: (b) (x*y2,1/3(xy) -1/3 X + 0, y # 0

A: We will simplify the expressions by writing the exponents with equating the bases.

Q: 6. (x – 1

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Q: Verify that x² +1 = (x² + v2x + 1)(x² – V2x + 1). %3D

A: **Since you have asked to solve question no. 42, you will solve that question.Question 42.We need to…

Q: 2x-3 for *く-S メ+4 %3D ーメ+3 for マ-S メ+2 for x) -5 メ+ヒ find *ビ" し 1n for order f(x) to メ- -5

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Q: Evaluate: L-¹{- (A) B Ⓒe²t (cosh7t + (D) (s+ 2)²-49 e-2tcosh7t 4 e-2t(cosh7t – sinh 7t) 4 sinh 7t)…

A: The objective is to evaluate L-1s-2(s+2)2-49 Inverse Laplace transform using table values:…

Q: 12 dx x3 - 2x -63X answer In (x -9) 3 I In Xt In (x+7) + C' 12 21 28

A: Solution:GIven∫12 dxx3-2x2-63xFormula:∫1xdx=log x+C

Q: Compute the flux of the vector field F = across sphere a? + y² + z² = 9.

A: Let F be a vector field and S be the boundary of the surface D. To find the flux of the vector…

Q: Ir X(s) (++2) (214)" find L[(2t)] Select one: O a. L[¤(2t)] (s+4) (s2+16) O b. L[r(2t)]| (8 | 4)…

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Q: Q: Interpret the yate of change of (31+5) (4u+2) with respect (2x+3) to

A: This question related to derivative.

Q: Let F = (2yz – 3x) i + (3xz + 3y) j – (2xy+ ∞z) k. Find div F and curl F.. |

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Q: Vxdx 2. For J T-Vx use 4 O u = JA u = x O u = Ja

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Q: t is the direction of fastest increase at (-3, 4, -4) for the function f(x, y, z) = 1 x² + y² + z²

A: We have to find the direction of faster increase at (-3,4,-4)

Q: Greaphically Convolve the fellowing twe_Signale x(t)# 2 time time 2

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Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: APQR = R R(R(AABC)) Given the fact that the coordinate plane below, which single-transformation and…

A: Given: Triangle ABC…

Q: Evaluate 7x 11 √(x - - − 1)(x – 3) - - - dx

A: