= The boundary value problem y" + λy = 0 y'(0) = 0 y' (L) = 0 has a solution : 0 yo(x): = 1. Find all other eigenvalues and eigenfunctions, λn yn (x) for positive integers n.

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Q: 3. Entropy is also defined when classification is into three or more classes. The entropy of a set S…

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A: I have explained everything with in the solution .please go through that.

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Q: 1 1 find dy/ dx y= c². (cose). (sine").

A: (.)    Given ,           y=excosexsinex (.)  If  f1(x) ,  f2(x) are two functions then ,  ddxf1(x)…

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Q: 0 Given the matrices A = 2 0 4 -2 and B= 1 -1 -4 5 -3 A. It is Select an answer to multiply these…

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Q: Consider the function £: [-1.1] → R defined by f(x) = sinx. (Note that this is the principal arcsine…

A: F:[-1,1]  -> R defined as  Given , F(x) = Sin-1x And F(x) is principal function

Q: Draw a logic diagram that implements the Boolean expression of ((x+y)'+y’)’.

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Q: 1 2 3 4 5 I 0.70 0.60 0.70 0.60 0.50 Factors II -0.60 0.40 -0.50 0.50 0.40 Ixx' 0.90 0.80 0.83 0.83…

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Q: Which function grows faster as O x → +∞ ? 3x¹ + 2x³ + 3x² +1 x³ ln(x² + 1)

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Q: 16. If a is an idempotent (that is, a² = a) in a commutative ring, show that 1 - a is also an…

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Q: Evaluate by the residue theorem: [2.in] 2n sin da So 148

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Q: Can you solve for b? Please provide a solution on paper.

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Q: 2: Evaluate the surface integral √√(² + √2 where S is the inverted cone z-1-√√² + y² with z ≥ 0.…

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Q: (a) 5n¹ +5n³+ n² (b) n².5log5n+n³ logn +5n³ (c) 5n³ logn +4n³ √n +3n²

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

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Q: 11.2. (a) If m≥ 3, explain why (m) is always even.

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Q: Let a be a complex number with |a| < 1. Prove that 2 α 1 - āz =1_iff |z| = 1.

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Q: ax + by + c > 0,

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Q: 14. y"+y = sin t y(0)=2_y'(0) = -1

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Q: 1. In Mathville, the time for the sunrise for any day during the year can be modeled by the formula;…

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Q: Find all solutions of x² = 27 (mod 253). Note that 253 is not a prime.

A: We have to find all solutions of x2 = 27 (mod 253).

Q: dy Find the equilibrium points of = y² (6 — y)² and classify each one as stable, unstable, or…

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Q: If A is a 1 x 2 matrix and the sum A + B can be computed, what is the dimension of B? X

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Q: Solve the initial value problem with y(0) = 2. y = dy dt y= = 1 exp(t) + 21 exp(8t)

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Q: 14.1 a) Find double integral xy * sin(x^2 + y^2) dx from 0 to sqrt((5x)/3) dy from 0 to…

A: a) ∫∫xysinx2+y2 from 0  to 5x3 and from 0  to 11x6. b)∫∫xy2x2+1dA in the region R=0,2*-4 , 4 c)…

Q: a) Write the quadratic form 9r2+72+11x3-8x1x2+6x273 as XTAX, where X = and A is a symmetric matrix.…

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Q: Evaluate the integral by making an appropriate change of variables. √√₂7 Cos (0 (Y + X)) 9 y dA…

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Q: Problem 1 Consider the following all-integer linear program: Max 1x₁ + 1x₂ s.t. 4x, + 6x₂ = 0 and…

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Q: 4) f(x, y) = x3 + y3 - 300x - 192y - 2 A) f(-10, -8)= 3022, local maximum; f(10, 8) = -3026, local…

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Q: Σ 4" 3" -1

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Q: K- Find the point of intersection of the lines given below and then find the x=21+6, y=21+5, -84140…

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Q: 3. Use the Taylor polynomial around 0 of degree 3 to the function f(x) = sinx to find an…

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Q: Find 1²² x²dA where R = {(x, y) | 25x² + 16y² ≤ 400} <

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Q: Let R be an integral domain. Show that every associate of a prime element in R is a prime element.…

A: We  have to show that every associate of a prime element in R is a prime element.  And every…

Q: Evaluate the following formula for p₁ - P2₂=0, p=0.127036, q=1-p, x₁ = 60, X₁ x₂ = 18, n₁ = 304, n₂…

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