fa is a root of the equation 4x² + 2x - 1 = 0, then prove that ²3 is the other root

Q: Q1] Solve this system of simultaneous diffe dx dt +7x + 2 equations. dy + 8y dt = 2et dy 7x+x+8+2y =…

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Q: a) Solve the following first-order differential equations: ER -y- = 2x, given that when y=0, x=+2

A: The given differential equation is:

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Q: Verify that the Legendre polynomise P(x) = (35x³ 30x² + 3)/8 satisfies the Legendre equation when…

A: The Legendre polynomial P4(x) is 1835x4-30x2+3, the highest power of x is 4, not 3 as given in the…

Q: 4 Find the F. T. of the following Signals using <-2 2 2 differentiation prop. X(t) = 2 S (t+2) - 2…

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Q: Compute the product using the methods below. If a product is undefined, explain why. a. The…

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Q: What kind of surfaces are the level surfaces f(x, y, z) = const? f = 4x - 3y + 2z

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Q: 5. Given that a, + a₂ + a₂ + a₂ + a₂ + a = 29, where k € (1, 2, 3, 4, 5, 6) and a is a non-negative…

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Q: Solve the system 21 12 23 || -10 1 0 -9 -10 1 0 +s 0 1 0 1 +t 1 0 4x1 -3x2 -I1 +12 -212 +3x2 3x1…

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Q: Find The curl of the divergence of the grad given = 3x²y374-4x³y² + 2x³vz²

A: given ϕ=3x2y3z4-4x3y2+2x3z2 find the curl of the divergence of the gradϕ

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A: Given system of differential equation is x1'=2x1+3x2x2'=2x1+x2 We can write it in matrix form…

Q: 1/ Let (X₁T) and (Y₁J.) be top spaces and fix-x be a surjective and continuousmap, then y is Compact…

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Q: In given problem, the eigenvalues of the coefficientc matrix can be found by inspection and…

A: Given system x1'=2x1+x2-x3x2'=-4x1-3x2-x3x3'=4x1+4x2+2x3 We can write it as…

Q: a. Assume that an attacker has a special purpose application specific integrated circuit (ASIC)…

A: Search engine cost with overhead $100 . $1 mlion budget can buy 10,000 search engines.

Q: Find. For the et e

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Q: k Q3: Solve the difference equation: y[k]y[k-1]+y[k-2] =) using Z transform.

A: What is Difference Equation: Any equation with a variable difference in it is a difference equation.…

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A: Since there are multipart, therefore here solutions of part (a) and (b).

Q: Verify that the Legendre polynomise P(x) = (35x³ – 30x² + 3)/8 satisfies the Legendre equation when…

A: In this question there is an error P4(x) =(35x4-30x2+3) /8

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Q: 1. Consider the system of equations 421 +172 823 = -307 1+ 422-42x3 = -73 -321-16x2 + 723 = 286 (a)…

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Q: 1 Express the following functions in the form utiv f(Z) = ln (1+z) @

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Q: |x (t) - X So, dF(t) dt = 28(t + 2) — 28(t − 2) — rect(+¹) +rect (¹¹) 2 (+)........ + = F₁ (t) + F₂…

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Q: where c is a constant, then prove that the foot of perpendicular from the origin upon the straight…

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Q: Do Homework Homework 4C- x +…

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Q: Transform the below system into the simpler upper triangular form? a11x1 + a12x2 +. . .   + a1nxn =…

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Q: Q4:A/ By using Exact equation solve the first order differential equation 2y² + ye+ (4xy + xe +…

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Q: 3. (Sinx, Sinzx, 4. for the given vectors find the value of normalize W+V π = (1, 1, 3) V = (3, 1,…

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Q: Q2:/ Sketch the region (R) of integration S x² dydx and evaluate the integration. Then reverse the…

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Q: Write the following expressions in index notation: (a) a₁A₁1 + a₂A₁1 + α3A₁1 + α₁A22 + a₂A22 + a3A22…

A: See next step for answers

Q: Suppose A1, A2, ..., 430 are thirty sets each having 5 elements and B₁, B2, ..., B₁ are n sets each…

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Q: The piecewise function for the above table can be shown as: 95 1,001 ≤x≤ 1,500 110 1,501 ≤ x ≤ 2,000…

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Q: 3. Use Muller's method to determine the positive real root of f(x) = 9.34 -21.97x + 16.3x² - 3.704x³

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