Let w = x. In(xy² z° ), then which of the following is O a -2 22 O b. 0 -2 c. 1 Od. O e. 2

Q: So S zy dy dx 4 c2 1 Show all steps to evaluate by hand: Vx 2y3+1

A: We have to evaluate the integral                                                    ∫04∫x212y3+1dydx

Q: If (x + iy)/3 = 3 - 4i , where x, y e R, evaluate O a. -50 O b. 50 O . -28 O d. 28

A:

Q: [3i If A = i i then JA| =?

A: The given matrix is A=3iii-i.

Q: d) Let y= Acos2t where A is a constant. Find the value of A such that d y --3y = 9cos2t for all…

A: Given  The equation is  y= A cos(2t) , where  A  is constant  and condition is  d2ydt2-3y=9cos(2t) .

Q: Find Cマ×F ) マ if F (Miyız) 398 sin ni + COs C 8M - gy) t 10zK

A: Given : Fx,y,z = 8sinxi + cos8x-9yj+10zk

Q: b=? The following equation is exact if (bxy²+4)dy=(7x-4y³) dx O 12 O-12 04 O None of the others -4

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Q: 45.: Let A=> 2 and B= dx. Which of the following is true? n-10 O a. AZ B Ob. ASB Oc. A B Oe. A=B

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Q: d. Vx e R+, 3y e R+ such that xy = 1. Select one: O True O False

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Q: Given that 3 Lex ex dx = e³ - e, use this result to evaluate 3 [²Sex + +4 dx.

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Q: e2x dx Evaluate: 9-4e4

A:

Q: S dx 2√x+3 +3

A: The given integral is 1/[2 sqrt(x+3) +3].

Q: 2946 0632 If A = then the cofactor C32 = %3D %3D 2259 0552 a) 4 b)-8 c) 0

A: The cofactor  matrix consists of all cofactors  of the given ,matrix, which  are calculated…

Q: where D C 0 find amatrix 2 Irand d I is identity 3 -1 1

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Q: expression fory 2 cx+

A: Given           y=Ax3+Bx2+Cx+D then                    y'''=

Q: Assume that ū. i = 3, |ū| = 5, and |õ| = 6. What is the value of 5u. (4ü – 87)?

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Q: lim f(x) = I 2 lim z→2+ f(x) = lim f(x): 2-2 Find f(2) == =

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Q: A. y(x² + y²)dx + x(3x² – 5y²)dy = 0; whenx = 2,y = 1.

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Q: :+y Use the change of the variables u=- √2 Mathematica and v= √√2 to evaluate 00 -dxdy.. [Verify…

A: Using jacobians we answer and use various substitutions to evaluate the integral.

Q: Solve: x)4= కు

A: From the given problem:   D2+1y=cosx   So,  The Auxilary equation is:   m2+1=0m2+1-1=0-1m2=-1m=-1,…

Q: What is the length of DE¯¯¯¯¯¯¯¯ in the image provided

A: From the given figure it is clear that AC=x+3,AB=BE.

Q: Evaluate (x – 2y + z) dS. S: z = 8 – x, 0 <x< 8, 0 < y< 7

A: Given I=∬S(x−2y+z)dSS:z=8−x,0≤x≤8,0≤y≤7

Q: If OA = 12 i + 6j + 5 k and OB = 6 i- 2 j + 5 k, find |AB|: AB:

A:

Q: Which of the following is equal to a +c 1' +c O o O

A: The given integral is ∫x6 dx To solve the integral we use power rule of integration , ∫xn dx =…

Q: 21 Compute D°. Let D =

A: Given matrix is D=200-2.

Q: F'{le }}= Select one: V2iz O a. e O b. None of these C. /2x O d. re 2z2 O e. /2m

A: The Fourier transform of the function f(x) is represented as F(λ), it is defined as ∫-∞∞eiλxf(x)dx,…

Q: 6 3 oy sin (a? + 3²) dædy Find

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Q: 49 Vã.) х dx х. Let u = х — 9 36

A: Given:

Q: e'sinx y.cosx

A:

Q: GIVEN: A E M(3,3), a € R. -1) -6 0 2 -4 -2 (a + 6)) Find all values of a so that A¹ does not exist…

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Q: 6. Write.a.Ct).in. the farm..aaT.T+ a. N. a..r(t).=(tcost). .+ (tsint.) j.+t ..to.

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Q: Evaluate 4 R³ TR³ O TR³ O TR² 2π 0 R p² sin odpdøde.

A:

Q: Write an expression for the area of the rectangle. 214 6x4 A. 8x O B. 8x16 OC 12x16 OD 12x

A: Area of rectangle is = a×b. a is length of base. b is length height.