Question 1. (a) paraboloids z=3+x2+y? and z=2+2x2+ 2y2. Find the intersection of the (b) gives the volume of the region bounded by the paraboloids given above. Construct the triple integral which (c) Evaluate triple integral obtained in part (b) to find the volume.

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A: Given- 56-3-2952-7-3412-1-743x1x2x3x4 = -109-28 To find- Solve for the unknown values using…

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Q: 3. (a) Construct a graph with six vertices and degree sequence 1, 1, 2, 2, 3, 3. (b) Construct a…

A: 3. (a) Construct a graph with six vertices and degree sequence 1, 1, 2, 2, 3, 3.   (b) Construct a…

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A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

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A: Mass of a cable =∫∫Rδx,ydxdy Where R is a shape of plane and δx,y is a linear density function

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A: Given, F = 3z2i +6j + 6xz k And surface S is ,S:y= x2  with 0 < x < 6 and 0 < z < 1…

Q: 1 -1 (c) Let A : -1 1 1 and define LA : Rª → R³ by %3D -1 1 1 LA: 12 H A. Find the kernel of LA.…

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Q: Let n be a positive integer and f(n) = -53n109 n51 + 53. %3D Then f (n) is

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Q: Suppose that G and H are equivalence relations in A, and that G C H. Prove that Gr Gy if and only if…

A: Given G and H are equivalence relations in A. Let us start proving the step by step

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A: We can write the given system of differential equation in the matrix form as below:…

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Q: 3. u, = u, - sin x cos t, 1 >0 В.С.: и(0, г) %3D0, = () 1.С.: «(х, 0) %3D 0, u,(x. 0) = 0

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Q: For the differential equation (x – 4)y" + (x– 2)y' + 2y = 0, the singular points are: O None of them…

A: Here we use the basic definitions of singular point

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A: Given; ∫γcos3+1z-3dz Where, γ is the unit square with corners at 0,1,1+i e i

Q: In Trapezoidal rule method Error Bound: kf"(a) <ES kf"(b), where k (b-a)3 True False О

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Q: 5. Write each symbolic statement as an English sentence. Use p, q, r, s, and t as defined below. p:…

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Q: 1. I = 4Vx+ 9 dx, x = 4, I = 3 2. I = :/ x = 1, I = 4 (5x*+8x³+9x² +2)dx,

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Q: 1. A periodic function f(t) is given by a function where f(t)=. 3t for 0<t<3 For the given function…

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A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

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Q: 0 0<t< 16. A periodic function y =f(t)3D f(t+r)=f(t) 2 <t<n 2 a) Sketch the periodic function over…

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Q: Sketch the region of integration and reverse the order the integration: S dy f(x,y)dx -1 - 3-2 y

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Q: Solve the following differential equation : d?y + 2 cos x· 2 sin x dx2 dy +2 sin x dx dy + 2y cos x…

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Q: 1 4 5 -6 g) A = 6 15 , B= 11 - 23 -12 3 51 35 -4 71 52 12 h) A = 22 9 B=-5 17 -19 100 -24 -8 91 -8…

A: Solution :-