Show that for any n E N, n(n + 1)(2n + 1) %3D k=0

Q: Evaluate Lin (escrLe"dzdydx

A: Evaluation of triple integrals

Q: : For a 4 x 4 linear system AX = O if (3, 0,0,0) is a solution for this system, Then

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Q: Drag each tile to the correct box. Arrange the hyperbolas in increasing order of the horizontal…

A: To arrange the given hyperbolas in increasing order of the horizontal width of their asymptote…

Q: Theorem 1. Let U end V be vector spaces over the fleld F and let T be a linear transformation from U…

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Q: Do the following for the points (-5,-2), (-3,2), (1, 2), (2,-2), (5, 2): (If you are entering…

A: (a) Given that, the general form of the parabola is y=ax2+bx+c and from the normal equations,…

Q: 3 Select the correct locations on the image. Identify the equations of ellipses whose major axis…

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Q: You are required to solve Poisson equation for U(x,y): v?U = ax? ay? = 4.084 +4.689 xy in the region…

A: The usual 5 point scheme is given by  ∇2U=fx,y4Ui,j-Ui-1,j-Ui,j-1-Ui+1,j-Ui,j+1=h2fxi,yj where…

Q: Write the following system of two second-order ODES as a system of four first-order ODES. Please…

A: Given:d2xdt2 = -γmdxdt dxdt2+dydt2

Q: Is it possible that all solutions of a homogeneous system of nine linear equations in twelve…

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Q: each statement is True or False: • (True/False): If a vector field F is not a gradient vector field,…

A: Please check the answer in next step

Q: 3. A fruit seller has lemons, apples and mangoes at his stall. The price of an apple is the mean…

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Q: 6. Find the area bounded by: a. The curve y3D4x-x and the lines y-0, x-1 and x=3. b. The curve…

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Q: 14. x" + y = -101 sin(10t) ; y " + x = 101 sin(10t) ; x(0) = 0, x ' (0) = 6, y(0) = 8, y' (0) = -6

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Q: 22 Arrange the figures in increasing order of their volumes. Use *=7. 7 cmi 5 cm 15 cm 4 cm 3.5 cm…

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Q: рe a 3 x 3 m E. If 1 is an

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Q: Let f(x) = e * and g(x) = e 12. Then (f * g)(x) = %3D O a) V3n e 16 - O b)- e c) 2 Te 16 те O d)…

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Q: A sidewalk is built around two sides of a building. What is the area of the​ sidewalk? (Note that…

A: Solution

Q: For the series below calculate find the number of terms n that must be added in order to find the…

A: We have to find the value of n.

Q: A schematic drawing of a 146-ft dome used by a weather service to house radar is shown to the right.…

A: We have to find the surface area of given curve.

Q: 5. Find a general solution of the differential equation: y" + 4y' = 2x – 1

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Q: One solution Y1 of the equation ry"+3xy + (1 – 2æ)y=0 about 2 O for x > 0 has the form Yı a) o∞ an…

A: We find one solution y1 of the equation  x2y"+3xy'+(1-2x)y=0.....(1) about x0=0.

Q: Select the correct answer. Dell's coffee shop sells cappuccinos, mochas, and lattes. The table gives…

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Q: The solution of the wave equation Urx Gutt. 0 0, which satisfies the boundary conditions u(0, t) =…

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Q: Solve the following system 2x1 – 6x2 – x3 = -38 -3x1 – x2 + 7x3 = 34 -8x1 + x2 – 2x3 = 20 %3D using…

A: The main objective is to approximate the solution of the linear system by using Gauss Jacobi method…

Q: 4. The area of the region between the curve y=x and the line y=4 is divided into equal partitions by…

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Q: Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Find the…

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Q: 1. Give examples of subspaces of I and 12 which are not closed.

A: Given: Let us show the examples of subspaces of l∞ and l2 are not closed.

Q: If a population has a growth rate of 7.5% per year, how long to the nearest tenth of a year will it…

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Q: 6. Is the following a valid deduction rule? Explain. P → ¬Q ¬P → R : PV-Q VR

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Q: Find the compound amount for the deposit and the amount of interest earned. $6800 at 5.4% compounded…

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Q: 3) Find the mass and center of mass of a wire in the shape of the helix: x = t, y = cost,z = sin t;…

A: Given  x=t, y = cost, z = sint; 0 ≤t≤ 2,  We have to find the mass and center of mass of a wire in…

Q: A6-foot sub valued at $35 is divided among five players, (P,, P2, P3, Pa, Ps) using the…

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Q: 8. If F ln,n) = ( uv, u? v³) O Find ds © Find ñ ds

A: We have to find  (a) ds (b) nds By taking first partial derivative of r with respect to u and v…

Q: For 1-10, find the i 1. a 2. h 3. k

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

Q: x.y) = 200(y + 4) represents the "population density" of a planar region on Earth, where x and y are…

A: Introduction: The integrals of a function in two variables over a region in R2, i.e. the real number…

Q: Showing the details of your work, find L(f) if f(t) equals: 2. 3t sinh 4t

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

Q: The equation y? + a? – (sin(z))² = 0 represents a surface of revolution. Around which axis was the…

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Q: 38 Select the correct answer. What is the value of this limit? 2 lim I-3 I2 + 7 I + 4 ) + x + 5 O A.…

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Q: dx + dx dy e; dy = x +y Use elimination to solve: dt dt dt dt

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Q: a) Find an equation of the plane passing through the points P=(1,–2,0),Q=(3,1,4) and R = (0, –1,2).

A: Given points are P1,−2,0, Q3,1,4, R0,−1,2. We have to find the equation of the plane passing through…

Q: 5 Select the correct answer. (y – 4)2 (r + 6)² 82=1, Which hyperbolas have one vertex in common with…

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Q: 26 Select the correct answer. The average summer temperature in Anchorage is 69°F. If the daily…

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Q: ag each tile to the correct box. ange the matrices in increasing order of their determinant values.

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Q: 1. Find the radius of convergence of (-1)" n! (3x + 1)" n=1

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