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Q: Assume that u E W%3 (R"). What is the largest q such that we can guarantee that u E Lº (Rº). O 30 7 ...
A: In this question, 3 is the largest q such that we can guarantee that u∈Lq(R10). Hence option third i...
Q: -sin x, 0<x <n Q6) Find the Fourier cosine transform of f (x) ={ 0, otherwise
A: Fourier Cosine transform
Q: 5-14 1 Solve the differential equation. 5. у' + у — 1 6. у' — у — е* 7. у' — х — у %3D 9. xy' + y = ...
A: According to our guidelines we can answer only three sub-parts and rest can be reposted.
Q: Level B Test Name (8 as Factor) 8 8 х 8 10 8 х 8 х 7 х 3 4 8 8. х 8 х 2 х 8 х 8 х 8 8. 8 10 8 х 8 х ...
A: simple mathematics problem, with 8 multiplication
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Q: For problems where you solve an LP using a version of the simplex method, you can use Vanderbei's pi...
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Q: Let A E Mnxn(R), show that it is possible to express A as the product, A = PQ where P,Q E Mnxn(R), a...
A: Given: A matrix A∈Mn×nℝ To show: A=PQ, where P,Q∈Mn×nℝ such that P is positive semi-definite and Q...
Q: 1. Consi der the power series (2x+3)" Σ V2n2 n=1 1 (a) Determine the interval and radius of converge...
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Q: What is the expanded formula for a family with 8 children? O a + 56a'b + 70 b² + 256a b + 320atb + 2...
A: Pascal's triangle
Q: 1. Use the e - ô definition of the limit to show the following: (a) lim(5x – 2) = 3 (b) lim VT = 0
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Q: let f:(a,b)→R be de fined by X€QN(a,b) x€Q' n(a,b) -2 f(x)=' 3
A: This is a problem of Differential Calculus.
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Q: DO NOT include spaces in between 17 characters. * In (In y)) at y = e. dy Compute Your answer
A: Given function is ln(ln y) we want to find the derivative of given function with respect to y.
Q: General Instructions: 1.) Represent each compound statements below in logical notations. 2.) Determi...
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Q: Consider the system of linear equations below. Solve for E. 2A - B + 3C -D = 5 A + B - 2D +E = 0 -B ...
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Q: . Show that a complete integral of the equation f(ôu / ôx, ôu / ôy,ðu 1 az) = 0 is u = ax + by + 0(a...
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Q: Apply Gauss- seidal method to sulve the fotlowing fottowing Lineor Lineur equations 5 X-2 Xz -2X1+lo...
A: Let x1 = a, x2 = b, x3 = c So given equations are5a - 2b = 18-2a + 10b - 2c = -60-2b + 15c = 128
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A: (a) The given differential equation is : dydx = 1+yx+y2x2 ..........
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A: Gauss- Jordan Method is used
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Q: b. 3 4 9 1 6 7 6 8 6 6 4 2 7 3 4 4 1 5
A: this is matrix question apply matrix subtraction operation, you get result
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A: Given that U and V are conformally equivalent that is there exist a mapping f from U to V such that ...
Q: X Q6) Find the Fourier cosine transform of f (x ) = sin x , 0<x <A 0, otherwise
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Q: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be selec...
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Q: Consider the three points A(-2, –1,2), B(0,2,–1) and C(0, –5,3). You are given that, 2 АВ — 3 and AC...
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Q: CONVERT THE GIVEN COMPLEX NUMBERS: 1. A = 6+7i POLAR FORM 2. B = 5230 → RECTANGULAR FORM 3. C = 15 –...
A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub-...
Q: Biologists stocked a lake with 250 fish and estimated the carrying capacity (maximum pop- ulation fo...
A: 1st we will find a differential equation for number of fish in the lake and then solve it to find ex...
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A: d) ∫-π2π2 2cosx dx1+ (sinx)2Let sinx = t∫-11 2dt1+t2 = 2 [tan-1t]-11 = 2 [ π4+ π4]= π
Q: What equation does the extremal y of the isoperimetric problem J(y) = S (2y² + y)dæ subject to the c...
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Q: Q2 /| Find a cubic polynomial of x (5, 147). given points (0, 2), (1, 3), (2, 12),
A: Newton's divided differences interpolation
Q: Representing Compound Statements in Logical Notations Let p: 3 + 4 = 5; q: 12 0. General Instructio...
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Q: The limaconr = 2 + cos 0
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Q: 4. Find the cofactor matrix for the matrix. 5 9 1 8 5 6 4
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Q: What technique should you use to solve the ODE that arises from the Euler's equation associated with...
A: A multivariable function f(x,y) is a rule that is used to associate a number or quantity with a part...
Q: The solution of y' = 5y + e-2¤y2, y(0) = 2 satisfies:
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Q: r = 5 +4 cos 0 3. Draw and determine the area bounded by the curve in polar coordinates
A: We have to find the area bounded by the polar curve r = 5 + 4cos(theta)..
Q: Find the Laplace transform of sin t cos t
A: Given f(t) = sin t cos t = 2sintcost2 = sin(2t)2
Q: C. Given: ATAN ~ATKJ. 1. If TJ = 8cm, AN = 10cm and TA = 12cm. Find TN and KJ %3! K 2. TN = 5x -7cm,...
A: It is given that two triangles ∆TAN ~ ∆TKJ
Q: Find the determinant by row reduction to echelon form. 1 1 9 6 1 -7 3 - 1 0 - 8 4 4 -4 30 0
A: 1-19601-73-10-844-4300R3 →R3+ R1, R4 → R4 - 4 R11-19601-730-111000-6-24
Q: Suppose f(x, y, z) = x² + y² + z? and W is the solid cylinder with height 9 and base radius 5 that i...
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Q: 5. Solve the congruence x° = 4mod(23) by using the primitive root a = 5. There are two solutions.
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Q: -sin x , 0<x <A Find the Fourier cosine transform of f (x)={ otherwise
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