MARQUEZ, YSLE RHE INE BSME IB COE 102 Given: y xC xt3)? ở. ye x[2Cx13)C1)]+ (x13)°C1) y: 2x Cx+3) + (x13)? y: (xt3) [ 2x+ xt3] y'= (xt3) ( 3xt3) y'= 3x +3xtax ta

Q: 35 Find the extrem poinbs of Pcxy)=xy Subject to X+y=20.

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Q: using the false - position to doter mine the voot of the eqution fcx) = 0-7 x5- 8X* +44 x-90 x+82 X…

A: Suppose the root of the function f(x) lies in the interval xl,xu. To obtain the solution of the…

Q: pany 2 = 355 3.24 = 0.52 on about these two co

A: The null and alternative hypothesis is as follows: Given: As the population standard deviation is…

Q: Non homo : 5) y"'+ ay'+ ay = x²

A: (5) Given differential equation  y''+2y'+2y=x2. We have o find the general solution of the given…

Q: 24. (х + а)у' %3D bx — пу; а, b, п are constants with n # 0, n # —1. ANS. n(n + 1)у — b(пх — а) +…

A: Given:- (x+a) y'=bx-ny;  a, b, n are constants  To find:-  General solution of given differential…

Q: 1. Using the first prine =) , show that (1 – x*) + 4nxy = 0. %3D 2. If y = 1+x2, + qx2+rx +s passes…

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

Q: Find where 1)let . V°g r = l7| -- g(r) = In(r³) s = xi + yj + zk * vo x Vp 2) find = yz + zx2, P =…

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Q: 5.2 Q3: By using Trapezoidal rule find I | In xdx , where n=6.

A: The objective is to find the integration of the given function in the interval [4,5.2] by using…

Q: die ktvaate et:rlrs erziv. 2l y=a* + &r-- 5+e" Kl) =

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Q: af Given f(x, y) = In(6x² + 8y²) then %3D

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Q: The tanh (2x) sech (2x) dx is equal to sech (2x) sech (2x) +C OA 3 10 OB. sech (2x) sech (2x) +C. 3…

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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: A- If y = e3x and y = e-3x , prove that: - d²y dx2 – 9y = 0

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Q: Q2: Consider the IVP: y=1+2,1sıs2, y(1)=2.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Q3) Find aw dw & ar ds interms of r&s if w = x+2y +z x= y = 4r2 + In 2s & z = 4r X=- %3D

A: Given: w=x+2y+z2, x=rs, y=4r2+ln2s & z=4r. To find: ∂w∂r and ∂w∂s. Solution: Partial derivative…

Q: d²y Given that x3 + y³ = 2, prove that 4х %3D dx2 y5

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Q: 198). Let c be (,0) to(4r, 0,0) G=) ydx+ xdx t Xyz dz Is 6CX Y,Z) independent of C?

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Q: The evaluation of S V1 + tan2x dx is C In(V2) +1 In(vZ+1) C In(vZ-1) O-In(vZ+1)

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Q: What is G = xy ax – x²y ay + 2y az at B(3, –4, 1), expressed in SCS?

A: Given: G→=xy ax-x2y ay+2y az -----------(1) Where, Bx,y,z=B3,-4,1 --------(2)

Q: 2 Find the Cerivative o3 a) y°(x+2)= c3

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Q: Fird XCK) is X(2) = 2くz-)(マ-3) Ans; SC) ャu(k)+と)uck)

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Q: 10 Let y = ( 2x + Then -A(2x + 10)" (2- 10)°, dy = A[ 2x + 2 - where A = %3D C = %3D

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Q: 2 Find z ax? 2 and ду?. ay ax 1. Z z = 3x y³ 4x* y?

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Q: Find Sea)ax Jf(x)dx if = 56 foR X<to (x fok xZ6 flx): %3D

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Q: d²y Given that x3 + y³ = 2, prove that 4x dx² y5

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Q: (2 fi = f(x²+xyz, y² +22= Prove that (y²-2x) ou 2ZX) then ne (²h-x) he 18

A: Concept: Partial derivative : The partial derivative is similar to the normal derivative except in…

Q: ( b) For n=1,2,K , show that (x² –1)y"*) +2(nx + p)y") +(n² –n)y"-1) =0 where %3D d" y p") = (Hint:…

A: * Given that y = x+1x-1pa dydx = px+1x-1p-1ddxx+1x-1    dydx = px+1x-1p-1x-11-x+1.1x-12   dydx =…

Q: O Fined s where c is :-12-11=4 the ly Porbolic 7-2/4/2121

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Q: if y=Asinx+Bcosx then prove d2y/dx2+y=0

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Q: xy Let z . Then: 4x2 – 5y? | az dz ду

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Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x + 1)? Select the correct answer below: O In (3z² + 4æ +…

A: Given, rx=lnx3+2x2+3x+1

Q: =Xtanx dk, Prove that ="IH (n+1)I,+(n-1) -1 T 1 2 n

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Q: Q2: Prove that: d 1 csc-1(Invx) dx 2x · |Invx|(Invx)ʻ – 1

A: As two questions are given , I will solve only one question: We have to prove that :…

Q: x2 1 dr dy = a° In(1+ x² + y? 3

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Q: fined the conter, fuci,vedices and ecentrici ty for fhe folowing equetins! I x+uy-4x -8y +4=0…

A: Let us consider the equation of ellipse (x-h)2a2+y-k2b2=1 Center is (h, k) vertices is h±a,k Foci…

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: 2. Derive a formula to approximate S* s* f(x;y)dxdy yo xo Using Simpson's rule with x2 – xo = 2h ,…

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Q: 5) *=ClSln t ,y =4 csst t=-2 %3D a) determine dy b) and graeh

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Q: BeR NOULLI 's EQUOTION (2yーX)d水+ラ×ydy:o ソ+PCx)yq(x) yh XrlwDepenとn 3 y= Depen Dest

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Q: Vx Sn(l+x*) de 23/2

A: Using the substitution ... Explanation of the solution is given below...

Q: A- If y = e3x and y = e-3x , prove that: - d²y - 9y = 0 - dx2

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Q: どa (en) (2-x)8 y = X+7 FiNo dy

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Q: 3) Find the deri vative of cscC (x) (xf3)' X4

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Q: 2 So ² ( x 7²2)² Using Trapezoidal method Blank 1 Add your answer -dx for n=4 is equal to Blank 1…

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Q: Q1. Consider the two different losses: (i) zero/one loss where Ai dij = 1 and (ii) generic loss…

A: Given Consider the two different losses: (i) zero/one loss where A₁ = 0 and Aj = 1 and (ii) generic…

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: 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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