2. (x, y) → (x + 5, y) rule' @ y 5- Q -5 5. R. P.

Q: xUx+yUy=U , U(x,1)=2+e^-x

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Q: az Find if yz – In z = x + y ax

A: To find: The partial derivative ∂z∂x, if yz-ln z=x+y. Calculation: The partial derivative ∂z∂x can…

Q: 4) Find linear ditterental equation with costnt y-ac'+cadk Lomageneas coetfients whose general…

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Q: 3. tet-lu(t – 1) 4. t cosh 2t 5. (t – 2)²et-!u(t – 2) 6. te-'u(-t)

A: To find the Laplace transform of the given functions.

Q: Bounded by the curve y = (x + 3)², the x axis, and the lines x =-3 and x= 0. %3D

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Q: Suppose that 2J of work are needed to stretch a spring from its natural length to a length 1m beyond…

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Q: 2. 2. Let そニと X=UV, y = sin v, Use ナ chain chain Rule to find Ev.

A: 1) The given function z=e2x2y+3xy2 Differentiate with respect to x taking y as constant…

Q: Differentiate ysin(1/y)=1-xy

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Q: (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of…

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Q: What must be the measure of ZX in order for ARST to be similar to AxYZ?

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Q: The integration expression Jsin(3In(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable…

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Q: 5. Deduce the standard linear approximation of 1 x2+y2+z2 at Po(1,2,3).

A: The general formula of the standard linear approximation for f(x,y,z) is generally given by,…

Q: Use Euler method to approximate the value of y(0.1), given y' - x2 - y = 5, y(0) = 3 with Ax = 0.025…

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Q: f(x, y, z) = eVx2 + y2, E = {(x, y, z) | 1 < x² + y2 < 4, ys 0, x < y/3, 3 s z 5 4} E = {(x, y, z) |…

A: given fx,y,z=ex2+y2 and a region of integration E=x,y,z|1≤x2+y2≤4 , y≤0, x≤y3 , 3≤z≤4 claim-…

Q: Is ƒ(x, y) = x2 - xy + y2 - 3 more sensitive to changes in x or to changes in y when it is near the…

A: Partial derivative of f w.r.t a variable is the indicator of the sensitivity of f towards that…

Q: Construct an example of an non-homogeneous ODE that cannot be solved using method of undetermined…

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Q: 2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

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Q: 14. Estimate the area under y = 36-x² using 3 rectangles and the left endpoint method. y=M-2²…

A: Here we use the left endpoint method.

Q: yUx-xUy=U , U(x,1)=2+e^-x

A: Given partial differential equation is, yux-xuy=u      .....1. With initial condition ux,1=2+e-x.…

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: ih fcuv, w) and its partial derivatives v and w with respecttou and and are Continows that u-x-y, V=…

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

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Q: A stretched string of length 20 cm is set oscillating by displacing it midpoint from the rest…

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Q: 1-у у-т т-li y – m m– l l-y|=0 |m – l 1-у у- y – |

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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: Suppose that an initially full hemispherical water tank of radius 1 m has its flat side as its…

A: Given:

Q: 2. Suppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm to a…

A: Given data: The work done is 2 J. The change in length is (42-30)=12 cm=0.12 m The expression for…

Q: At time 0, M is deposited into Fund X, which accumulates at a force of interest δt = 0.006t2(0.006 t…

A: Given, δt=0.006t2 Now, we have, at=e∫0tδsds=e∫0t0.006s2ds=e0.003s30t=et3500

Q: Birinci dereee difrensiyel denk lemin yl1)- Otel Corimino bul. et (t+1) de+ (yey -tet)dy-0

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Q: ih fcuv,w) and its partial derivatives with respect tou and v and w and are Continous that usx-, V=…

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Q: ihe fcu,v, w) and its partial derivatives with respect tou and vand w and are Continous that u-メ-ツ…

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Q: . Show that it is possible to solve u and v from: xyu + xy2uv2 = 2  and  x2yvu4 + yu3v2 = 2, in…

A: Given: xyu + xy2uv2 = 2  and  x2yvu4 + yu3v2 = 2 To show that we can solve for u &amp; v in terms of…

Q: Suppose that the share of total production consumed by player i is x / x+(n1)y, where is player i's…

A: The utility to player 1 is given as: u=xx+n1yAnw-x-n-1y;w&gt;0,A&gt;1 Also, Ak=Aw-x*

Q: Suppose that the share of total production consumed by player i is x / x+(n1)y, where x is player…

A: The share of total production consumed by the player is xx+n1y. x: Player i's level of conflict. y:…

Q: Find y' where y = (tan(18z² +5)) / 18z3 +14 Answer: 54z2 O v' = sec2 (36z) /1823 + 14 + tan(182² +…

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Q: Find both first partial derivatives. az ax az ay

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Q: 4 Find the distance between u = -3and z= - 1 8

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Q: Find the first partial deravatives of the function

A: Since, only question no. 21 is clearly visible in the image you have provided, that’s why we are…

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: Let C be the shortest path that connects 7 to ni and I = f. (coshz + 1)dz. Then --sinh π+ π(1- )…

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Q: Consider the follow ing LP model: max z = 50x, +100x, X +x, 5 300 | 2x, +x, 5 400 St. X, S 250 X, X,…

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Q: 2an-butn Converge bey to

A: The given sequence is an.bnn=1∞ we observe that there is N1&gt;0, so that when n&gt;N1, we have…

Q: 9. The total cost and total avenue, in dollars, from producing x couches are given by C(x) = 1000(x²…

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Q: etermine whetter fie differential eguetion is linegr or non lineqY and Ne reasons-

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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: What is the number of derangements D4 of the set {1, 2, 3, 4}? (Give the exact

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Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: We will find value of function inside integral and then find end points of interval .At end will…

Q: (5) Suppose that A = {(x, y) = R²|x² + y² = 0 or 1 < x² + y² ≤ 4}, then (1, 1) is ( (B) accumulation…

A: Given A=x,y∈R2|x2+y2=0 or 1&lt;x2+y2≤4. We have to find the correct answer among the given options.…

Q: Suppose thát the share of total production consumed by player i is x / x+(n1)y, where is player i's…

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Q: 3. Find general Golution y" + y= Secx

A: Given that, find the general solution y''+y=sec3x (D2 +1)y=sec3x