Find the sum : [00 En = n=0 (-1)" πT 2r q" (2n)!

Q: Find the radius of a cylindrical can (with a lid) to contain 2744 cm³ of water, using the minimum…

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Q: The function f(x) = x²e*- ex has a root in [0,2]

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Q: 1 01 Lea A = -681 ;] find the decomposition PA=LU for the na solve the System AXÉ (111)] using the…

A: We can solve this using given information

Q: Find the relation between backwards finite difference and average operator.

A: An operator is a mapping or feature in arithmetic that acts on additives of 1 area to supply factors…

Q: Answer the riddle below by solving the following measures of position. Write your interpretations on…

A: Given riddle "What can you break, even if you never pick it up or touch it?"

Q: n >= 1 , for every D € Dn as defined , D is an alternating multilinear map such that

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Q: Suppose a coin is tossed FOUR times. Define Ω = {(x₁, x2, x3, x4): x¡ = [0, if ith toss is head 1,…

A: Solution: Note :As per our policy, we are allowed to answer only first two parts of question kindly…

Q: Consider the second order differential equation with initial conditions u" + 7u' +5u = 2.5 sin(3t),…

A: Given- Consider the second order differential equation with initial conditions u'' + 7u' + 5u =…

Q: Let E be a vector space of dimension n. The following properties hold: For every basis (u1,..., un)…

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Q: The prism is bisected by the xz-plane. The point P = (5, 4, 5). Determine the equation of the plane…

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Q: 4. Find the first three nonzero terms in the Mac expansions of cos(x)/(1+x) by any algebraic method…

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Q: Given 7 = -8 find the closest point to in the subspace W spanned by 3 -2 2 and

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Q: A convergent sequence is monotonic. A) True B False

A: We check whether a convergent sequence is monotone.

Q: Question 4 (a): For the given linear system Ax = b, find an LU- factorization of the coefficient…

A: As per the question we are given a 3×3 matrix A and a 3×1 matrix B Amd we have to solve the linear…

Q: Given any matrices A, B E Mm,n(K), and C, DE Mn,p(K), for all λ € K, we have

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Q: If lim azn = 72400 lim a2n+1 = L, then lim an = L 121400 1140

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Q: In a regular n-gon, the area is 700 cm^2, the apothem is 10 cm, and each side is 7 cm. The perimeter…

A: The formula for the area of a n-gon is 12ap ,  where a=apothem and p=perimeter. Therefore by the…

Q: Use the Laplace transform to solve the given initial-value problem. y"+y= √2 sin(√2t), y(0) 13,…

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Q: Determine the global extreme values of the f(x, y): = 12x − 3y if y ≥x-4, y ≥-x-4, y ≤ 7. (Use…

A: Note: To extremize a function of two variables over a closed bounded region, we should first find…

Q: 2. What length of wire will Marcus need to attach the top of the latticework to the ground? Show…

A: We will use given half angle formula to calculate length and height

Q: Evaluate using theorems on limits of z²+1 6 z +1

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Q: 2. Let f: R → R be the quadratic function defined by f(x) = 3x² - 12x + 15. i) Vertex and Axis of…

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Q: Solve the boundary-value problem y" + x²y' - 4xy = 2x³ +6x²-2, y(0) = 0, y(1) = 2 by using the…

A: Given that, The boundary value problem, y"+x2y'-4xy=2x3+6x2-2,            1       y0=0, and y1=2. By…

Q: Evaluate the surface integral F F. ds for the given vector field F and the oriented surface S. In…

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Q: 3. Draw the special angle triangles. Then complete the table for the following trigonometric ratios.…

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Q: Find the first five non-zero terms of the Taylor series for f(x) = + + 1 X centered at x = 3. + ...

A: Taylor series is given by general formula f(x) = f(a)+f'(a)(x-a)+f''(x)(x-a)22!+f'''(x)(x-a)33!…

Q: The label on the coke drink bottle is giving the volume in two following units of the 34.0 L and 78…

A: Given, Volume of cold drinks = 34.0 L or 78 fl oz. Where, L= metric unit         fl oz = english…

Q: 2. Let G be the solid enclosed by the surfaces in the accom- panying figure. Fill in the missing…

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Q: For items #1 to #10 Use bisection method in solving for the root of a function e^(-x) - tan x = 0.…

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Q: a. Compute the expected frequencies under the null hypothesis that there is no relationship…

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Q: (a) (i) Calculate (4 + 6i)². (ii) Hence, and without using a calculator, determine all solutions of…

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Q: Y (s) 1 (s+1)(s−1)²

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: 2. x³ydx+(3x² - y³ )]dy=0

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Q: e Force Algorithm: IT WEIGHT

A: We use  both algorithm and solve it.

Q: Find the eigenvalues, and for each eigenvalue give a basis of the corresponding eigenspace. −1 1 1…

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Q: Prove that any group of order 40, 45, 63, 84, 135, 140, 165, 175, 176, 189, 195, 200 is not simple.

A: To show that the group of order 45 is not simple.

Q: Consider the sequence {xn} defined by n if n is even n+1 (1+In(1/n²) if n is odd Is the sequence…

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Q: True B) False The function f(x) = x²e - e-x has a root in [0,2].

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Q: A plane with the equation + / + ² = 1 (a, b, c > 0) together with the positive coordinate planes…

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Q: Determine if the sequence converges or diverges; if it converges, find the limit.

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Q: Q2/ Uses "Goal Seek" to find z that makes f(z) equal to zero: F(z)= 4z³-5z²+2z-4

A: Use the goal seek in excel and solve the given equation. All the steps are given.

Q: F (s) 1 = s(s²+2s+5)

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Q: 7 Angles x and y are located in the second quadrant such that sinx= a) Use a right angle triangle to…

A: a) and b)

Q: 3. Let U= {x: xEZ, 0≤x< 15} A = { x: x E N and (x − (m + 3)(x − (m + 2) = 0}, B = {8,6,7,9} and a.…

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Q: nd Simon ran in. A

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: 1 Consider the infinite series If we use the sequence of partial sums S to estimate value of the…

A: To find the series sum using partial sum :-

Q: Let F be a "function" defined on the class

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estim the…

A: Estimate the given integral ∫132x-1 dx using Trapezoidal rule and Simpson's rule with n=4. Find the…

Q: Consider the infinite series n=1 If we use the sequence of partial sums S, to estimate value of the…

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Q: 3. The label on a box of the grains gives the mass of the grains in two units of 789 grams and 45.3…

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