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Q: az xdz + Y- = xy+z. a) If z = xy - xei , show that x- ду

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: OLet @ = (0,1)n Q = {x€ @104 x<1}. Prove that %3D 2) 2000m

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Q: e Divergence Theorem to evalu (4x + 10y + z²) dS Js

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Q: Find the value of ds / du at u = 2 if s = t2 + 5t andt = (u2 + 2u)1/3.

A: We first find ds/dt and dt/du

Q: Let f(r, y, z) = ln(x² + z) + y²e#² – cos(2yz). Find fzyr- %3|

A: Consider,                                                                 f(x, y, z) = ln(x² + z) +…

Q: Evaluate SSS 7e(=²+y²+z?)*² dV over B where B = {(x, Y, z) : x² + y² + z² < 1}. Take T = 3. Turkcen.…

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Q: 1 Using Convolution theorem, find (i) L (s+a)(s+b),

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Q: Use Euler's method to obtain a four-decimal following: approximation for t (4 y=2Xy, yC)=1; yU5) =?…

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Q: 2. Show that 4=x i+y°j+:'k is irotational.

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Q: 11. Jlgull sin(2t +) dt %3D e2t-3 4 4. 64e3

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Q: i =r+ 1+1 1le n de bifureation? on?

A: This is a problem of Dynatic Model, stability Analysis.

Q: 6. If the substitution u = Vx + 1 is made, the integral x+1 dx u? du и? — 1 u? А. В. J, 2(u² – 1) du…

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Q: = e. In(16y), then fzz i 30 e5z In(16y) 25 e5z In(16y) 80 esz In(16y) 25 e In(16y)

A: We have to choose the correct answer from the given options according to the given information

Q: Q4 Prove that E(",") = ("::)- () .n 2mzr. %3D +1 +1

A: we have to prove that                                                   ∑k=0mn-kr=n+1r+1-n-mr+1 now,…

Q: +3 fn d the deivotive of this funckio slape of the tonpent On d the line ot (4,1).

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Q: HiW f(x, y) = x +2xy+y² +3x+5y ils Is.5 of (2,-3) (2,-3) al of

A: The detailed solution is as follows below:

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: 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: dy then In z is If y = cosh z

A: Without wasting any time, any further, differentiate the RHS to get your answer.

Q: dx secx + 1 Transforming S Ⓒ 1 +²2² A 1-z² (В) / z²+z 1-z² 2-2z² © 1+z² -z² Ⓒ S 1=32/2/dz D 1+z² -dz…

A: Solve using miscellaneous substitution

Q: S 1.Prove that L (coswt) = %3D s2+w2

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Q: Show that the following ODE is homogeneous then solve it. 2xyy' = x² + y?

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Q: 10. Using the substitution u 2x - 1, prove that %3D 3 8 dx J1 (2x-1) 25

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Q: ди and ди ди Q3. If u = e"" sin p, p= sin x, q = z' In y, r=1/z, use chain rule to find

A: Find your answer below

Q: In evaluating / x(4 – x)ŝdx , if we use the substitution that u = 4 – æ, then what will be the…

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Q: 13- dy + 2xy = y diferansiyel denkleminin genel çözümü aşağıdakilerden hangisidir? -x* +c1 y = e a)…

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Q: Evaluate the integral. 2 2 t+ dt 15 OA. 29 О В. 6

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Q: dy 1. If (x + y)² = x² + y² prove that 11 I Alx y

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 1. Detanmne the rusutt OF a. Gradi ent f(x.y,z) ex sin cy) In (7) b. Divergenie =7? C Curl F=y2 t…

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Q: Determine the general solution for following Cauchy-Euler Equatio dy + 7x +5y = x³. i) dx2

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Q: 3) yv1+x²dx + x/1+y?dy = 0 (1+v1+x²)(1+/1+y²) Ans: V1+ x² +/1+ y² In +c (Bali, 2007) xy

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Q: (b) Let z = x + iy = re?". Find |z| and z² first in terms of x and y and then in terms of r and 0.…

A: Given:

Q: d 1 Prove that: dz (tan¬1 z) = 1+z?

A: Given query is to find the derivative of the expression.

Q: A) A=LDU where D-C) then the humber of special solubion s bo Ax=0 is equalS a-1/b.8/c2/d.camet be…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 11T |13T V2 - V6, determine the value of sec 60. Given that sec 12 %3D 12

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Q: Evaluate the integral. 2 [ 11t sec-'t dt 2/√√3 2 S 11t sect dt = [ 2/√√3 (Type an exact answer,…

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Q: Verify Young's Theorem z = In(2x + y) y? x2 +e(x+2y) y

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Q: If f(x,y,z)=z In(x²ycosz), then fz is O 2z X OZ y O2z y O In(x²ycosz) - ztanz <|N

A: This question is related to partial differentiation, We will solve it using given information.

Q: 2 I| ysin(xy)dydx Н.W.

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Q: 5. Use Green's Theorem to evaluate (y – 42) dx – (2+x²y²) dy where C is shown below. y (5,10) 10

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Q: state where in the ty-plane the hypotheses of Theorem are satisfied 6. y′=ln|ty|1−t2+y2

A: A hyperbola is an open curve with two branches, which are symmetric and are mirror images of each…

Q: The sum of Hthe first S=3n²+4a fFinal+he li mit an is nlmits ofar plogression an arthmctic

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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: Qし If xと -l Sx S2 fa)= { 5-x fo) = 2< x S3 - Is fox) Condinuons at x =2 2 and sketch this funclion

A: Hello, Thank you for the question. According to our honor code can answer only one question at a…

Q: Evculucte the ntegre ree)dt where re =secttleH, tine TNt C 2

A: The given function is

Q: 16.1. Use an antiderivative to show that for every extending from a point 21 to a point 22 2" dz =…

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