η 1 Σ;( + 1) = =n(n + 1)(n + 2 i=1

Q: (12) (13) (14) (15), (123) (234) (345),

A: This is a multiple questions.

Q: Use

A: Use the Banzhaf power index to determine the power index for each player. Consider the voting system…

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Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z)=tan(4x+y+z). F(x, y, z) -

A: Solution:-                The given function is f(x,y,z) = tan(4x + y + z) then we have to find…

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Q: 3. Set up a double integral using polar coordinates that will yield the total area outside r = 2 and…

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Q: There are 20 jolly ranchers in a bag: 4 grape (purple), 3 cherry (red), 2 watermelon (red), 5 green…

A: Given that There are 20 jolly ranchers in a bag: 4 grape (purple), 3 cherry (red), 2 watermelon…

Q: Graph the constant-profit lines for the objective function P=x+y through (2,2) and also through…

A: Solution:-

Q: 3) (- .) How many ordered quadruplets (a1, a2, a3, a4) of non-negative integers, where at least one…

A: We have to find the how many ordered quadruplets (a1, a2, a3, a4) of non-negative integers, where at…

Q: 1- a) b) c) Use the method of Frobenius to obtain series solutions of the following. 3xy"+y'-y = 0.…

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Q: . Calculate the general solution of y′′ − 2y′ + 2y = e2x cos x − 26e-2x + 27x3

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Q: 3) Find the volume of the region that is above the cone Z = X² Y and below the sphere X² + y² + Z² =…

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Q: a. Find the rotation of v= through 0 = 4. 23 2 3 1 about the z axis

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Q: A surge function is a function of the form f(t) = At" e( bt) The values A, n, and b are the…

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

Q: Find the Wronskian of the independent solutions to the homogeneous equation. Then, use the Wronskian…

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Q: Problem 7.4: Find the PS of (x' = 4x - 3y = 3x + 4y y' x(0) = 2 y(0) = 1

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Q: Find Ix, Iy, Iō, ī, and ÿ for the lamina bounded by the graphs of the equations y = √√√√x, y = 0, x…

A: given that the lamina bounded by the graphs and find the moments and the center of mass.

Q: Find the curl of the vector field F curl F= (5y cos(x), 2x sin(y)).

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Q: Problem 6. Let V and W be finite dimensional vector spaces over IF. (a) Show that there exists an…

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Q: VF 1. Consider the following vectors: t =, u =, w =. a. Find the following linear combination of the…

A: For any vector u-> =<x,y> ,is the vector whose initial point is (0,0) and terminal point is…

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the…

A: The given function is   f(x)=x2+2   ,  given interval is [0, 2] Number of sub intervals n=4 length…

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Q: Please help with B and

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Q: Use strong induction to show that postage of 24-cents or more can be achieved by using only 5-cent…

A: To Prove: We have to show that postage of 24-cents or more can be achieved by using only 5-cent and…

Q: Two sides of a triangle are 3 m and 5 m respectively. If the included angle is changing at the rate…

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3 + 2x3/2…

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Q: 7.3 Isomorphisms of Interval-Valued Fuzzy Graphs In this section, we consider various types of…

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Q: y = 4 ln(x). x¹ Find the derivative of the function: y'(x) = The domain for this function satisfies…

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Q: Example 1 Use Stokes' Theorem to evaluate curlF. ds where F¹ = 2²7 – 3xy + x³y³k and S is the part…

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Q: Problem 5. Show that {TEL(R³, R¹): dim(ker T)>2} is not a subspace of L(R5, R¹).

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Q: For each of the functions below, indicate whether the function is onto, one-to-one, neither or both.…

A: (h) We see, f(8, 2) = (⌈8/5⌉, 0) = (2, 0)                       f(7, 2) = (⌈7/5⌉, 0) = (2, 0)…

Q: Sketch the vector field. 8 2 0 -2 0 y 0 2 0 -2 F(x, y) = (2, 2) = 2'

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Q: A spring with an 8 kg mass is kept stretched 0.4 m beyond its natural length by a force of 32 N. The…

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Q: Transform: f(t) = 5t6e-4t O F(s) = O F(s) O F(s) = O F(s) = ○ F(s) = O F(s) = 30 (8+4)* 30 (8-4)…

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Q: 1. Express f(t) in terms of the unit step function uc(t) 1, t-1, t-3, 1, f(t) = if t 5

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Q: Graph the constant-profit lines for the objective function P = 6x + 5y through (3,3) and also…

A: Solution:-

Q: o Subtraction of vectors in R" is not a binary operation. o Determine whether each statement is true…

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Q: Write an equation for the function whose graph is shown to the right. The graph shows a…

A: We know that, Equation of parabola with the roots x= a and x= b is y=(x-a)(x-b)

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Q: 4.6. (a) Let G be a cyclic group of order 6. How many of its elements generate G? Answer the same…

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Q: f(x) = 3x4 + 2x³ − 10x² − 5x + 20

A: Regular-Falsi Method: Find points x0 and x1 such that x0&lt;x1 and fx0·fx1&lt;0. Then, take the…

Q: 6) Use the Limit Comparison Test to determine whether the series converges or diverges. ∞     n = 1…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: d'y dx² ==y+sinx, y(0)=1.0, y(2) = 3.0. 0≤x≤2,

A: Given that the BVP y''=y+sin(x) with y(0)=1.0  and y(2)=3.0 we use the central difference…

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Q: 2. Use Laplace transform to solve the initial value problem y" + 2y + 2y = 2u3(t) (t− 3), y(0) = 0,…

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Q: X = { 2,5,8,10}y and T= { 0, X, {5},{5,103} and T₁ = { 0, x₁ {2}, {5}, {2.5} let E1 = {2,83 and [2=…

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Q: Ollie uses an angle measuring device on a 3-foot tripod to find the height, h, of a weather balloon…

A: In a right angle triangle,  sinθ=perpendicular hypotenusecosθ=Base hypotenuse

Q: If the function is not onto or not one-to-one, give an example showing why. (i) A = (a, b, c), h:…

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Q: Find the curl of the vector field = curl F = k

A: