If α = a (123456), show that a = (16)(15)(14)(13)(12).

Q: →Step 1 Given- 5 9 -3 4 1 -1 -7 -7 4 -3 65 -21x1 X2 X3 X4 ช 2 -7 2 3 | -107 9 -2

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A: For X and Y normed linear space  Let { Tn}  be a sequence in L(X, Y) such that Tn → T in L(X, Y)…

Q: Salve, U++54x+bИy то in ga (озоо) =0 Subject to; Ц(э, уоо) = x+4

A: ut + 5ux + 6uy = 0 in R2 [0,∞) Subject to ;                 u(x, y, 0) = x + y

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A: Introduction: An initial boundary value problem (IBVP) is said to be properly stated mathematically…

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Q: Solve for the value of x. Points A and B are both centers of the given circles. 9 H 8 B

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Q: Use the given graph to estimate the value of each derivative. ya y = f(x) 0 1 (a) f'(0) 1 (b) f'(1)…

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Q: Minimize f = x²+x+60x, subject to the constraints 8₁x₁-8020 82x₁+x₂-120≥0 using Kuhn-Tucker…

A: Minimize :  f = x12 + x22 + 60x1subject to ,    g1 = x1-80≥0                        g2 =…

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A: Given function is  fx,y=x2+y2-2x-2y where bounded region is  x2+y2≤8.

Q: Show that the following equation is exact and solve it: (2y sin x cos x - y + 2y² exy²) dx - (x -…

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Q: In a certain habitat, the deer population (in hundreds) as a function of time (in years) is given in…

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Q: of the r a. Find the area of the region bounded by the curve y = x³ and the line y=4x.

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Q: The asymptotes of the curve r = are 2a (a) r sin, -0)= √3 √3 T 3 - 0) = 2a (5-0) - + √² (c) r sin 3…

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Q: 4. What are the various applications of the dot product? Explain how the dot product is used to…

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Q: Use the definition of the Laplace transform to find (f(t)). (Write your answer as a function of s.)…

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Q: dY 2 (-²1) Y. Y, dt (a) find the general solution; and (b) find the particular solution for the IC…

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Q: dy 6. dx 4x + 3y 2x+y

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Q: D. 1. If (x + y)² = x² + y² 2. If y = sin³ () cos³ () dy - dx X prove that y' = sin² (x) cos(x) 8…

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Q: 1 For any n N set In = * cos" (t)dt, known as Wallis integrals. 1. Show that (n + 2)In+2 = (n+1) In.…

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Q: Give an example of a non-planar graph that is not homeomorphic to K5or K3,3.

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Q: dy for the following equations: B. Find dx 1. X²+y²-2x+3y=0 1 2. = 4 √x²+y² x³+y³+4xy=5 3.

A: To find the derivative of given function.

Q: Exercises: A. Find for the following: dx 1.y = (5x+3)6 2. y = sec(2x) + tan(2x) 3. y = In(x²-3x - 1)

A: To find the derivative of given functions.

Q: Solve d²y dx² - cot x dy-sin² x.y = cos x - cos³ x. 2 dx

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Q: Solve Problem 2.33 on page 48 found attached.

A: As per our guidelines  we are supposed to answer  only one question. Here 2.33 answered.

Q: show that, 8 = 1², when € IR³ we have x 1x)=870

A: Please five the answer in next step.

Q: solve: 3 (b) uloy) = ity ² "x = 0 w(x, 3x) = sin x = 0 Wyy u(x,0) = sin x wy (x,01 = cox { (c) in R²…

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Q: A nature reserve has one bird of an uncommon species which frequents the large expanse of reed beds…

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Q: 5. dy 4y-3x 2x-y dx

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Q: Find a general solution of the following differential equation: dy X = y + √√√x² - y² X>0 " dx using…

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Q: B. 1. 2. 3. Find dx X²+y²-2x+3y=0 1 = 4 x² + y² x³+y³+4xy=5

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Ⓒ Solve зик subject to + 2x x = 0 u(x,0) = in Rx [0,00) n(x)

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Q: Find the sum of the divisors of 120. Generalise the result for an arbitrary natural number M

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Q: ܕ ܩ ܚ ܝܠ ܘܗ ܥ ܬܬ ܝܚ -3 -21x1 -7X₂ -3 1 2 -1 -7 4 3 9 [X3 -2 -[ 8

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Q: A company's total cost, in millions of dollars, is given by C(t) = 120-60et where t is the time in…

A: Given- A company's total cost, in millions of dollars, is given by Ct = 120 - 60e-t where t is the…

Q: 2. 2y (x²-y tx) dx-(x²-2y) dy = 0

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Q: 1. E is a triangle with vertices (1,0,0), (0, 3,0) and (0, 0, 2), with 8(x, y, z)=xz+1.

A: Note: As per our guidelines we are supposed to answer only one question and the rest can be…

Q: (a) find the general solution; (b) determine if the origin is a spiral sink, a spiral source, or a…

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Q: ☐ In Exercises 11 to 14, use the greedy algorithm to find a Hamiltonian circuit starting at vertex A…

A: The Greedy algorithm for finding a Hamiltonian circuit is as follows: Select a starting vertex.…