(п + 1)(2х + 1)" Σ (2n + 1)2" n=1 8

Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

A: To evaluate using the trapezoidal rule with n=10.

Q: xdy – ydx = 3x²(x² + y²)dx

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Q: " IF R= 5B-2C find the value of the following r21 10 13 16 r31 11 #14 r22 #17 r32 12 15 r23 18

A: To find the elements of the matrix R .

Q: Given the quadric surface z = * + draw level curves (contour lines) for the heights c = 0,5, 10, 15,…

A: Given surface z =x24+y22 To draw , level curves for c = 0, 5, 10, 15, 20

Q: What is the distance between the line with Cartesian equation x-2 = y-8 = z-3 and the line with…

A: If first equation of the line parallel to the vector V1 through the point P1 and the second equation…

Q: For each of the following, solve the equation by determining ALL the values that will make the…

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Q: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Evaluate S, (a2 – y²)dz, where y is the…

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Q: In the right triangle ABC, AB = 2, BC = 4 and ED is a line parallel to AB. Find the angle a = angle…

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Q: Solve the system of differential equations - 5x + Oy y' = – 9x – 2y ly' x(0) = - 1, y(0) = 0 x(t) =…

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Q: test the convergehce and divergene ni+2"

A: Convergence or divergence of the series

Q: 1. (0, {a}) | (∞, {b}) | (∞0, {c}) (3, {a}) | (2. {a}) (3. {a}) (3. {a}) (0, {d}) (4. {a}) (4, {a,…

A: We will use the basic knowledge of Dijkstra's algorithm to answer this question correctly and…

Q: 1. Solve the given equation using Simpson 1/3 rule and Simpson -2x+4 1/3 rule composite solution…

A: It is a Numerical Analysis problem. Let us use composite Simpson's 1/3 Rule to find the solution of…

Q: [B] Use the Newton-divided difference formula to find a polynomial of the form P„(x) = = ax4 + bx³ +…

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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

Q: Evaluate 3- 2y ds where Cis the line segment from (3,6)to(1, –1)ts -58.240 58.240 -57.991 Non of the…

A: Let us consider the line integral I=∫cf(x,y)ds  The integral will be converted to…

Q: I. Does the graph below have Eulerian or Hamiltonian Circuit? If there is, find one. If none explain…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: By rewriting the summation of the power series E(n- 1)C„x" + E 2nC, x"-1 +E C,x+1 = 0, we obtain:

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Q: 25.2 Solve the following problem over the interval from x 0 to 1 using a step size of 0.25 where…

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Q: 1. Find the area of the region bounded by the ves y = x³ – 5x + 6, y = 10 – 4x – 4x2 and the line x…

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Q: 3. Using both Simpson 1/3 and 3/8 rules compare the Error of the equation. -dy 1+cosy

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Q: 505. Two tangent lines at the endpoints of a given arc containing 120° are drawn, and a circle is…

A: Solution :-

Q: Solve the following system of differential equations. dw = -w + 52z dt dx 2x dt dy = 2w – 4y + 2z dt…

A: We are given the following system that we need to solve.…

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: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: Differentiate the following using (a) forward difference method; (b) backward difference method; (c)…

A: We are given the following function.      f(x)=12 sinh(x) at x=1 Note: We will be taking the step…

Q: Determine whether the following series is convergent or divergent. If it converges, find its value.…

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Q: the Area that lies inside r=3+2 sin 0 out side r=2 is -24.187 -23.957 23.957 24.187 24.315 Evaluate…

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Q: 8. x³y" +x² y" – 2x y + 2 y = x³sinx

A: Solution :-

Q: Determine all of the equilibrium solutions of the autonomous differential equation dy = 2 (y- 8) (y…

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Q: This question asks you to find an integral using Riemann sums. Recall from lectures, that a definite…

A: Let's number the n subintervals by i=0,1,2,…,n−1i=0,1,2,…,n−1. Then, the left endpoint of…

Q: 71 Evaluate S, dx by using Simpson's rule, n=3. 1 х

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Q: (c) Find the characteristic polynomial PA(t) of the matrix A given below, and then the eigen- values…

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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

Q: dy dx x+y2

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Q: 4. Let f:A-→R and g:B–→R where f(A) CB. Explain to prove that if f is continuous at Ce A and g is…

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Q: Determine the particular solution to the initial value problem dy - 5y = -2x, d.x y(5) = -8125 %3D…

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Q: 3. (a) Use triple integral in spherical polar coordinates to find the volume of a unit sphere. (b)…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the double integral |[ (r² + y° \do, over R={(x,y):-1<x<1,0< y< 2}. 1. R

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

Q: Which of the following sets of vectors spans R^2?  A. {(1, 1), (–2, –2)} B. {(1, 1), (1, 2)} C.…

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Q: Consider f(x) = eª, 0<x< T. (a) Find the half-range Fourier sine and Fourier cosine expansions of f…

A: Given: Let us consider the given fx=ex, 0&lt;x&lt;π a) Determine the half-range Fourier sine and…

Q: If we use the method of undetermined coefficients, the particular solution of the following…

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Q: 2. Let V and W be vector spaces over a field F and let L: V → W be a linear transformation. Assume…

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Q: Find the limit or prove that it does not exist lim (2,y)→(0,0) T° cos x + 2y sin y x2 + 4y2

A: We will evaluate the limit limx, y→0, 0x3cos x+2y3sin yx2+4y2  using polar coordinates.

Q: Prove whether the pollowing series converges and state which theorem diverges. to prove. or you use…

A: Convergence of the series

Q: d the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: Lagranges Multiplier method is used

Q: How many degrees apart are the roots of (-2+j)i from each other? O none of the choices O 90 45 30 65

A: Solution:-

Q: Ex (2x+) " +y=0 abouf X=0 Let an X" (n+1)an, X Chri) cn ei) Qur t.

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Q: [5 2 0 similar to B; if no, explain why not. Let B = Is the matrix B orthogonally diagonalizable? If…

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Q: The box below is used to pack rectangular chocolate bars. The dimensions of the box are: length = 28…

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Q: Q2 An electrical device was measured for its current, I fluctuates at a number of different values…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…