Evaluate J gx. 9(x, y, 2) dS. G g(x, y, 2) = x² +y² +z, G: z=x+y+3, 0sxs1, 0sys1

Q: 6. If x(t) = e' +1 and y=2e²ª are the equations of the path of a particle moving in the xy-plane,…

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Q: find general solutions (for x>0) of the Euler equation x3y3  -3x2y"+xy'= 0

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Q: Can you please help me step by step with this problem?

A: Using the differentiation formula. If u and v are two functions then,

Q: a) y = Va, 1sI<4 is revolved about the x-axis e y-axis revolved about the y-axis b) y = VI, y = 2, r…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: a. Solve the following. 1. Find the angle of intersection between the curves y = Vx and y = 2 – x².…

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Q: Consider the following IVP y = x+2y, y(0) = 0. The third successive approximation (v3) of the given…

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Q: YOU WILL HAVE OF Problem 1: Solve the equation for x using any method: x? + qx: Louk again at values…

A: Given : (1)   x2 +qx = m   (2)f(x) = -2x2 +5x -3

Q: 5 E(3k – 1) k= 1

A: Concept : summation of N natural numbers is ∑1Nn = N(N+1)2                              if a is…

Q: Uk+2(x) – 3k. dx duk+1(x) d²uk + 2k(k – 1) 0, (8.295) dx2 has, in the x variable, the structure of a…

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Q: Question 10 dz will be equal to ax Given the equation f(x,y,z)= x3+y3 +z3 + 6xyz- 1, then OA x2-2yz…

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Q: Post Question 2 Find y if (y + 3y + 2y = e3 + e* + 5)

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Q: [If the second Picard approximation of the following initia value problem is Y2(x), find y2(1)7. y'…

A: We know that if  y'=fx,y, yx0=y0 then Picard's iterative formula is  yn+1=y0+∫x0xft,yntdt        1…

Q: Consider a disease where immunity is lost. On average, after n days, a recovered person becomes…

A: original SIR equation is given as dsdt=-bitstdidt=-bitst-ktdrdt=kit as according to question a…

Q: The solution to y² – 1 = (x – 1)(x – 3) is %3D a. There are no solutions O b. (1,1) only О с. (1,1)…

A: We are given the Equation: y2-1=(x-1)(x-3) Starting from the last Option, we will check the options…

Q: 1.9 The point on the curve y = Vī that is closest to the point (2,0) is: (2) (i A) (b) (VF4) (c) (VE…

A: The distance (d) between the two points (a,b) and (p,q) is expressed as d=(q-b)2+(p-a)2. Consider…

Q: y" + 5y' + 4y = 4te³t. Yp =

A: here we use two formaulae 1)∫xexdx= ex(x-1)+C  2) yp=-y1∫y2g(t)W(y1,y2)dt+y2∫y1g(t)W(y1,y2)dt   I…

Q: In(t) -dt 5. Integrate the following: а. -1 b. 1 С. 2 d. ½

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Q: Use Gauss- Jordan to solve the values of x,y and z for this problem: 2x – y+z =-3 x+y-z = 6 3x - y-…

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Q: ľ Solve the following optimization problem (using second order conditions to confirm your…

A: note :  As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Given A = A(x, y) subject to bzx+ byy <B and Cxx+ Cyy <C i) Write the Lagrangian function. ii) Write…

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Q: Question 2 Find the value of c which satisfies the conclusion of Rolle's Theorem with the given /(x)…

A: topic - rolle's theorem

Q: Find the solution to the following initaY value problem y" – 2y + 2y = 0, y(0) = 2, y' (0) = 3. %3D…

A: Given IVP is  y"-2y'+2y=0.....(1) with initial conditions y(0)=2,y''(0)=3

Q: This is a two part problem. A: Find the velocity v(t) and the speed ||v(t)|| of a particle with…

A: Velocity vector is obtained by differentiating the position vector

Q: find general solutions (for x&gt;0) of the Euler equation x3y3 +3x2y"+xy'= 0

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Q: : Find the minimum of the following control problem: min f, (x? + 2xx + x²)dx If the endpoint…

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Q: rks) Find the solution of the following problem: Utt = 9uzz, x > 0, u(x, 0) = x², u(x, 0) = 6x +3,…

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Q: .If flx) g(x) dt, where gloy =J"CI tsinct)jdt, find f'6 VItto %3D 2

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Q: find general solutions (for x&gt;0) of the Euler equation x2y"+xy'+ 9y = 0

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Q: 5. Determine the Particular solution of this equation in terms of Y ( +y = -x'y* y = ) y = G) y = G)…

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Q: Problem I. Given z, = 3el(76) z2 = 2e(T/4), find: %3D

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Q: A. Solve the following problems 1. Find the length of the curve 3y = x2 + 2 from x = 0 to x = 4 %3D

A: We have to solve

Q: Based on the following: i: x ≥0 ii: y ≥0 iii: z ≥0 iv: 0.5x + y + 0.2x ≥ 600 v: 2.0x + 3y + z ≤ 2000…

A: Here we have to solve y+0.2z = 600 and 3y+z = 2000 and find the values of y and z. Before that let…

Q: 1. Given the following SIR diagram, where h are some costly self-protective activities that people…

A: (a)  From the diagram, Since the susceptible is increasing, birth is increasing and death is…

Q: as follows: ga)= 2X+ 1 f« ) = X- 2 %3D %3D (a) Defing bot h applications ņ= fogh-gof %3D 16) Find h…

A: (a) h2=f∘g=fgx=f2x+1=2x+12-2=4x2+1+4x-2=4x2+4x-1h1=g∘f=gfx=gx2-2=2x2-2+1=2x2-4+1=2x2-3

Q: Solve the given problem. Show that v = (x + 2y + 4z)i + (2x – 3y – z)j + (4x – y + 2z)k is…

A: The general form of a vector-valued function in three dimensions is given by F=F1i+F2j+F3k, where…

Q: (10) Solve the given BVP by using Green's function: ; (ii) y" – y/ = e2; y(0) = 0, y(1) = 0

A: Given differential equation is: y''-y'=e2x y(0)=0y(1)=0 Green function in equation is given by:…

Q: Now, we can set zy = 0, substitute 2x for y, and solve for x. + 21 = 0 = -21 X =

A: Substitution method: - The substitution technique could be a simple approach for determining linear…

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Q: How do I solve problems like the one in the photo (problem number 1)? Like step by step…

A: We know  that integration of cos(ax+b) is sin(ax+b)/a

Q: Question 7 of 8 Determine the particular solution: y" - 2y'+y = 0, y(0) = 5,y'(0) =10 Select the…

A: Topic = Differential equation

Q: Spaceman Spiff is exploring the surface of hostile alien planet.  Using his special…

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Q: 1 8. The equation of the image when the line y = x + 1 is translated through (3,-1) is? 1 a. y = x +…

A: Please see the below picture for detailed solution.

Q: 1. Determine the values of the variables to satisfy the equation using Jacobi. 5a - 2b = 40 Ans. a =…

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Q: Note that equation (2.29) corresponds to having pk = k/(k+1). Therefore, %3D k-1 k-1 i (k – 1)! k! 1…

A: If  pk=kk+1, then we have to show that…

Q: 2 (1+j)+ 1-j2' her problems on operation involvin plex number.

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

Q: 5. A particular solution of the DEQ 3y" -y' – y=1-2x² is Circle your answer below. (a) y, =-x² + x-3…

A: The correct answer is option (e). Given differential equation 3y''-y'-y=1-2x2…

Q: . Solve the following problem (a) Y'(t) = XY(t) + 1, (b) Y'(t) = \Y(t)+t, Y(0) = 1. Y(0) = 3.

A: In this question, we will solve the given linear first order differential equations.

Q: Eliminating the parameter from x = f(t) and y = g(t) means eliminating_______ from the pair of…

A: In parametric equations are the quantities are represented by the functions of a single independent…

Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos…

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