D¹(²)y(x) + Dª(²)y(x − 0.01) + y¨ (x) (39 − y(x) = g(x), x = [0,h], solv using the subjected conditions are shifted Legendere

Q: Please draw and make a short explanation about of this pmf : p(y) = 1/(y+1) for y = 0, 1, ..., 6.

A: Given : Equation : p(y) = 1/(y+1) defined for y = 0,1,2,3,4,5,6 The following graph is obtained

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Q: Find the Green's function G" + k²G = 8(x − s), Gʻ(0, s) = 0, G′(0,π) = 0 -

A: To find the Green's function G(x,s) for the given differential equation G′′+k2G=δ(x−s), subject to…

Q: a2f, a2f ду? Q1: A- Show that + = 0, where f(x, y) = In(x? + y?) + tan-(2) %3D

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Q: If u = and , then what is the magnitude of 2 + . Round to the nearest hundredth. Answer:

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Q: Show that Q.) J′′0 (x)=−J0(x)−x−1J′0(x).

A: Here we have to show that, J0''x=-J0x-x-1J0'x

Q: f(x,y) = x² + 3y² + +xy b. f(x,y) = /x² + y² a. %3D

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Q: (x, y, Z) = è + xlny + ylnx find fz fx fxx fy 5) fxy Fyx

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Q: Find y as a function of a if y(0) = 1, y'(0) = 9, y" (0) = -191. y(r) = j y"-7y" -y + 7y=0,

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Q: Find z(t) for X(s) = 8-2 %3D $(s+ 1)(+9) Select one: O a.z(t)3D-86(0) + 금etu(e)-뷰.e 2.cos3t. u(t) +…

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Q: Find the value of ou/ox and du/oy if u(x, y) = x² + y²-2x²y;

A: To find the value of   if .

Q: show that | | J.(x)dx x² J,(x)dx = x²J¼(x) + x J,(x) – %3D

A: Apply the integration by parts method and use the identity ∫xpJp-1xdx=xpJpx, to evaluate the…

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Q: f (x) = { ₂x² (²/²) ² 2=1 Coso f(z) dz= ? 23

A: We have to calculate

Q: Let U(z, y) (2x +3)(y+5). %3D Select the correct expressions for Uz and Uy: (A). Uz= 2x+3. %3D (B).…

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Q: Find y as a function of tif y(t) T y" + 16y + 80y = 0, y(0) = 5, y'(0) = 2.

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Q: Consider f(x, y) = (2x² + xy + 1, xy, x² + y²) and let c = (1,-1). Find Df(c) by definition.

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Q: (x² – 1) d x (x* + 3 x² + 1) tan-1(*-) dx

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Q: What is the A B (C) D af - of f (x, y) = tan (x²y³ + 2xy)? dy [ sec 2 (x2y3 + 2xy (2 xy + 2y) 2 [sec…

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Q: se Green's Theorem to evaluate SC (5y-9x)dy-(yx-x³)dx where C is shown below

A: Follow the procedure given below.

Q: I the function z(x, y) = ex sin(3y) and x = ut-t², y = √u² + t², Find : dz dz and 2- (by chain rule)…

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Q: Let h(x, y) = x5 + y sin²x x² + y² 0, { 25 if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

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Q: (22 – 2) | Evaluate dx 2+2 (x4+5x2 +4) tan1 2 A - BI E E E E X O Type here to search 马

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Q: Mrs. Wigen conducted a survey in her math class. She asked each of her students to tell her how many…

A: The data plotting helps to visualize the relationship between variables. A dot plot consists data,…

Q: The Seneral Sokution to the differential Fuation E (D+ 18D+81 日 (C+S)csく3x) + (g+Su) sincsx) 2 G…

A: Solving , Auxiliary Equations

Q: Find ff f(x, y) dA where f(x, y) = 3x + 1 and R= [0, 3] x [1,3]. R SSR f(x, y) dA =

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Q: 3. [ (sec²(a) — csc²(a) + π) da

A: We will use formulas of integration to solve it

Q: (ii) Suppose z = f(x, y), where x = g(s, t), y = h(s, t), g(1,2) = 3, gs (1, 2) = −1, gt(1, 2) = 4,…

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Q: OJennifer Findley Write an approximate measure for each angle shown.

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Q: eſt 2 du given that * f(z) dx = 12 f(4Tan¹(u)) 1+u² Evaluate

A: Hint :  This problem is application method of substitution in definite integral. If you have not…