If q(2) V12 + w'dw then q'(2) - [1

Q: 8. Find the orthogonal trajectories of vy = cx

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Q: 8. Find the orthogonal trajectories of Vy = cx

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Q: 16. Of all points (x, y, z) that satisfy 3x + 4y + 2z = 52, find the one that minimizes (x – 1)2 +…

A: Let f(x,y,z)=x−12+y−42+z−22   and    g(x,y,z)=3x+4y+2z−52≡0Apply Lagrange Multiplier method to find…

Q: 5Find the Orthogonal trajectories of the family of r=aeº

A: Question:- Find the orthogorial trajectories of the family of r=aeθ ?Solution :- We have r=aeθ -(i)…

Q: Find the values of x,y and z using Gauss Jordan method.

A: We have given a system of equations ,  3x + 4y + z = 102x - 3y + 5z + 9 = 0x + 2y - z = 6 This…

Q: Compute. (a) ds/dp if s = 3( p2 + 5p + 1)10 (b) d/dt (at2 + St-1 + S2)

A: (a) We have given s=3p2+5p+110. To find dsdp we have to differentiate s=3p2+5p+110 with respect to…

Q: Cons i der the linearsystem X2 1. 2. is Gauss-s eidel method

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Q: Z=8x+12y subject to 4x+6y>14 , 4x+5y > 9, x20, y20 x=? (2 decimal places) Minimize

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Q: .Prove that e- -dt < (1+ t²)* 1/4 6.

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Q: Find the Tians Farm F(s) = "suy (27>1>0) (1 – s)(1 – e **) 3) f(1) = e',

A: Given problem:- Find laplace transformation of f(t) =et (0&lt;t&lt;2π)

Q: الموضوع was althe eauation XÝY-2* Ý+4.=2* is a Linear differential Eauation and Heterogenious Dtrue…

A: The given statement

Q: 1. re (x, y, z) x). Ly). (z}} - *(*. y, z) . (x)S(x), ly), (z]} (x)E (x, y, z}

A: If x is element then it belong to set And {x} it will be subset of set

Q: Verify that u = 3x² +3r – 12t – 8 is a solution of heat equation: u, + 2u, = 0.

A: A solution to an equation is the value that satisfy the equation. Suppose that y1 is a solution to a…

Q: 4. Estimate the In (1.1) and sec (0.1) using a linear approximation and without using any kind of…

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Q: If T, is an MVUE of y (0) and T, is any other unbiased estimator of y (0) with efficiency e < 1,…

A: Answer: For the given data,

Q: 2 4 find the orthogonal trajectories to c¯y y" = 4y´ + x´ 2 2 .... ..... ..... .....

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Q: Find the particular soluti y' + 3x²y = 3x² %3D Initial Condition: y = 6 %3D

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Q: 3 (D2 + 4)y =- Ost<3 3t +2 t23 y(0)=0, y'(0)=1 Find L{y} °L{y} = 1 3. 3e 3s Se-3s 82+4 s(s2+4) s (s²…

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Q: Let Ximexp (A). Show i Sulficieny that T-ZXi is Statistics

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Q: 2- Max z =30 x, + 30 x2 X +2 x2 2 80, 3x +2x2 2 120, Simppler s.t. X, X, 20

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Q: 3 (D² + 4)y = Ost<3 3t +2 t23 y(0)=0, y'(0)=1 Find L{y} °L{v} = T+4 + F(2+4) 3 3e 3s 1le-3s s(s² +4)…

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Q: dy Compute dt t=to X+5 y= X-5' 6 6 = 3.

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Q: If q x2 yz3 %3D =, the small increment in q with &r=8y=8z=±0.1 can be approximately calculated by…

A: We will use partial derivatives to calculate the required quantity.

Q: 1 Find the Nahee af the falloding in togreals's Jet X+1 3. 8. +3. -4+3 da -2 2 JX -9. 2. Lett-lx 9.…

A: You don't mention which question i have to solve. And you already solved them. I go through all the…

Q: 2: Find the orthogonal trajectories of xy=C.

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Q: If g(x)=- A B d- ſ ^ [e' − In(2t + 1) ]dt, find g*'(x) . dx -2 2 (2x + 1)² 4 et + (2x + 1)²…

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Q: (4) Evaluate : + yz') dV if Q= {(x, y,z): x:[-1, 1], y:[3, 4], z:[0, 2]}

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Q: (x + 2)-(x + 2)+y 3x +4 diferansiyel denkleminin genel çözümünü dx2 bulunuz. i riiniiz

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Q: If Saz dy = In|ly +1- Inly +2| + c, then S- %3D y2+3y+2 dt = e2t +3et+2 In(e' + 1) + In(e + 2) + c…

A: The objective is to find the correct option

Q: 2 2 x+y e to pday dyd x |-X

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Q: An M.V.U. is unique in the sense that if T, 1 M.V.U. estimators for y (0), then T, = T, almost

A: A sample statistics t is said to be unbiased estimator of population parameterγ(θ) if expected value…

Q: 8. Find the orthogonal trajectories of y = cx CX

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Q: Show that y=lnx is a solution of xy’’+y’=0 on interval (0,∞) but is not a solution on interval…

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Q: S x2 +2x-10 (2x+4) + 1 JE + 4x +5) Consider dx = x² (x² + 4x + 5) (2x+4) + 1 dx- x² + 4x +5 dx ,…

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Q: If Z = x + iy than Z is: Z = x - iy Z = -x + iy Option 3 Option 2 Z = x + iy Z = -x - iy Option 4…

A: Explanation of the answer is as follows

Q: Use the backward Euler method with h = 0.1 y'(t) + 1000cos(y(t))-100t = 0 y(0) = -0.5   find y(2)

A: Given y'(t) + 1000cos(y(t))-100t = 0 y(0) = -0.5and h = 0.1

Q: What is the equation of the orthogonal trajectories of 4x + 5y = C? (1) 4x + 5y = k (2) 4х — 5у 3Dk…

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Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, find the relative error…

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Q: What is the general solution to the follwoing equation: (4t+5y+4)dt-dy=0

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Q: Minimize F(y, u) = f¿u²(t) dt under ý = -2y + u with y(0) = 1, y(1) = 0. Is your solution unique?

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Q: 2. Determine the solution of y dt + (2yt + 1) dy = 0given that given that y (-1) =Q

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Q: Find solution to hon-homo geneous heat problem ut = Uxx + Cos(HX) ; +70 17X70 u(x,o)= f(x); OLX <I…

A: We will use basic knowledge of PDE theory and analysis to answer this question.

Q: At time 0, M is deposited into Fund X, which accumulates at a force of interest δ# = 0.006t*. At…

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Q: Obtain the orthogonal trajectories of y=Cx^2 and compute for the positive value of y of the…

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Q: If e2P - et = p + t, compute dp/dt whenp = t = 0. p'(0) =

A: Given :e2p-et=p+tTo find: p'(0)

Q: II z= ě Y x - Juv Find dz dv üs ing chein rule.

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Q: 1. Find the optium path for f=xy³ from (2,1,2)

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Q: If u(x, t) = E1 fn (t) sin(næ) is the solution for Utt + 9uz = 2e" sin(3x) + e sin(4x) u(0, t) = 0 =…

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Q: 8. Find the orthogonal trajectories of y cx

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Q: 8. Find the solution y(t) of th d³y dy - 2y% = dt dt3

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