Solve the following aw dw aw. Q1) w(x,y, z) = xy²z³ + esin(x*y²z) + x² – y³ + z – 7 find ( дх ду az

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y" +…

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Q: Use Jacobi iterative method of following 7+y-z 21+4x+z 15+2x-y x = %3D 4. = Z To find y2, let xo = 0…

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Q: Solve the following aw dw aw. Q1) w(x,y, z) = xy²z³ + esin(x³y²z) + x² – y³ + z – 7 find ( ax ду az…

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Q: こ= (t)} () て= () %3D - (^),J %3D てんn ZトXC

A: →∫eax+bdx = eax+ba + C, where 'C' is the constant of integration.→∫xndx = xn+1n+1 + C

Q: dw Let w = cos(6x – 6y), where × = r* and y = 3. Find A o dw = 18sin(6r* – 18)r³ dt O dy =…

A: Answer is Option b is correct Explanationo the solution is given below...

Q: Suppose w = 6xy + In(4 + z²) , x = - , Y 3u + 9v, z = cos(8u). Find dw/dv when u = -5, v = -6. dv…

A: *to find:- Partial derivative of w with respect to v, when u = -5 & v = -6

Q: 8z Find at (2, -2, 1) if By z' +y +z2 = 6xz +6yz +21 eej49 1.

A: Given x2+y2+z2=6xz+6yz+21

Q: he following DE on the left are Bernoulli's DE. Match each of the following to its appropriate…

A: Given that Diffrancial equation y'x+2x2+44y=2x415y4To find : integrating factorSolution…

Q: If V = (3x + 2z²)i + j- (z – 7x)k then V. V at the point. (1, 1, 1) is ||

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Q: 2. Given: XW XY, HA I WY, KB 1 WY Prove: AHWA ~ AKYB. K Y.

A: Given data is : XW¯≅XY¯ Therefore ,  ∠XWY≅∠XYW∠XWY≅∠HWA∠XYW≅∠KYBTherefore,∠HWA≅∠KYB     .....1…

Q: Condition JW=3.6, j0=0.4

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Q: 1. If 4=x'zi-2y'?'j+xy'zk , find div4 at points (1, -1,1).

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Q: 2. Show that the Euler-Cauchy Equation Iy" + axy + by = 0, 1+0 can be transformed into the constant…

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Q: A If w= f (x, y), where x = rcos 0 and y = rsin 0 , show that 2 1 + 2 +

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Q: Q3: Use finite difference method to solve Laplace equation in the red (hand written plzzz) domain…

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Q: If u = ₁+₂y+z, where a₁, A2, A3 al constants and J²u J²u J²u น a +a+a = 1. Show that + + = U. მ2 მყ2…

A: This question is based on Partial diffrentiation.

Q: Find the domain of R. R(t) In(1 t) √t+1, e-¹/|t| {(VEFT, 0-10m, bu(1-2)}) t = (1,0,-1) " , if t #0…

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Q: 3. Use Green's Theorem to evaluate (y-6y) dr + y + 10y) dy where Cis shown below y (-11) (1-2)

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Q: X+ xy B. Evaluafe the tripe in tagral S5* xy dydzdx,

A: As we know that: The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 (B). From the given integration:…

Q: a) If W =(x,y), where x v²-g' and y 2vg calculate W+ %3D

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: 3- Let µr1 = 2 in region 1, defined by 2x+3y-4z > 1, while µ2 = 5 in region 2 where %3D 2x+3y-4z <…

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Q: 4. Let z = x2 + y³, x = 2st, y = s - t2, s = u", and t = u sin w. Compute for Oz ду and дw ди

A: Let z=x2+y3, x=2st, y=s-t2, s=uw, and t=u sin w.To compute for ∂z∂w and ∂y∂u.

Q: Find Duf at P. 1 2. f (x, y, z) = 6x³y°z°; P(2, – 2, 2); u %3D - -

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Q: 1. If x, y, z E R, prove that (c) ||x| – |y|| < |x –yl. (d) \xy| < }(x² + y²)

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Q: 27. Show that कक्या 1 Vn E Z*. T1\2i+1 2i+2. i=0 (2n + 2)!'

A: Consider the given expression. ∏i=0n12i+1·12i+1=12n+2! Consider the left side of the equation.…

Q: Express In x V in terms of in x, In y, and In z. 2mx-글 my-글 nz 2 Inx + 글 Iny-글 mz znx+my+nz In y 2nx…

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Q: In Exercise 5.8, we derived the fact that 4y1 Y2. 0< yı < 1,0 < y2 < 1, f(y1. y2) = 0. elsewhere.…

A: Compute the marginal density function of y1 using the formula: fy1=∫y2fy1,y2dy2 fy1=∫014y1y2dy2…

Q: In Exercises 53-58, compute the derivatives indicated.

A: Here given as fx, y=3x2y-6xy4 Now ∂f∂x=∂∂x3x2y-6xy4=6xy-6y4∂2f∂x2=∂∂x6xy-6y4⇒∂2f∂x2=6y

Q: 11, If PQ = OR, JK = 3x + 23 and LM = 9x- 19, find PK. %3D %3D %3D K J R. %S'

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Q: 3. If V = (3r'y-1,x2'+y',-2r:"). Find grad divl at the points (2,-1,0).

A: We have to find grad(divV ) at (2,-1,0) where  V = (3x2y-z,xz3+y4,-2x3z2)

Q: A LTI systemis deseribed by the DeE ý+6y+8y=2x4) find hit),then find.y(t).if X(t) = te t>o. -2t %3D

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Q: Proue that || A|1maπi <j <n 1 Σajl . m

A: In the given question we have to prove that   A1 = max1≤j≤n{∑i=1maij}                         (1)the…

Q: The solution for the IVP: Uxi u(x, 0) =2 x u,(x, 0) -ex. ux, () - 2x + (*-0-(**) O b. u(x,…

A: Consider the given information. utt=uxx                 -∞&lt;x&lt;∞t&gt;0ux,0=2xutx,0=e-x D…

Q: Use Green's Theorem to evaluate >[2²y² dz + (yz²³ + y²) dy where Cis shown below. 90 O-384 O-48…

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Q: // (9x + y – 2z) dS. Evaluate S: z = x +, osxs 2, osys 3

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Q: Solve the P.D.E utt = 16 uxz2 s.t u(0,t)=u(5,t)=0 , u:(x,0) = 0, u(x,0)=x² (5 - x) ,h=1,k=0.4

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Q: What is t' (x) when t(x) = In( 2)? 2z2+3z+2 Select the correct answer below: O ť(z) = ? + 4z+3…

A: Given: The function is  t(x)=lnx22x2+3x+2   To determine: The derivative t'(x) of the function…

Q: 8. xyzx +2y³ (z, = 1

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Q: Derive pz, 192. sjt9z, Hz(t), ez, čr: directly , if X ~ U (0, w) with r = 20, n = 30, w = 100. %3D

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: 6. Consider the following model: Yi = Bo+B,D11 + B2D21 +u; O if person i is a non-immigrant) where…

A: Dummy Variable Trap: It is defined as the scenario when the attributes are highly correlted. One…

Q: Let u = 2i−j+3k, v = 3i+j−k, and w = 3i+j+2k. Verify Equation (3).

A: Given- u=2i-j+3k,v=3i+j-k and w=3i+j+2k To verify- The equation u×v·w=u·v×w

Q: 3. If f(x,y,z)= In 4 xyz Ite t3y:²s²) , find f,,f, and f..

A: Given that: f(x,y,z)=lnxyz4+e-(3xy2z2)

Q: IfA = ze2xVi+2xycosy j+ (x +2y) k then the valueof Vx A at the point (2,0,3) is Select one: a.…

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Q: Poblam cu (a) Compute Cm 2月-/ where xe [-,]. (1) 2n 2n-1 where ze C-1,1]. (b) Gompule Cm z nっ%

A: (a)

Q: 2. Given z = , show that ху xy(zxx + Zyy) 2 y - x3 x²y? |

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: (b) Compute f er+uds, where c(t) = (t, 2t), t e [1, 2]. %3D

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Q: 4. Show that 4= 3y'z' i+4x²:* j+6x°y°k is solenoidal.

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Q: 18z + 15 Evaluate -dr where 3x2 + 5x + 7 > 0. Зг? + 5л + 7 First substitute u = 18z + 15 dr J 3x² +…

A: The given integral is- I=∫18x+153x2+5x+7dx=∫36x+53x2+5x+7dx Let u=3x2+5x+7 Differentiating w.r.t. x…

Q: 3. If V =(3r°y-z,x²+y",-2r:'). Find grad div, at the points (2,-1,0).

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