The eigenfunction of a Symmetric Kernel. Corresponding eigenvalues are orthogonal to distinct

Q: Determine the number of strings consisting of 6 letters from the English alphabet (26 letters).

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Q: or to pass the pot to the other player. In other words, player 1 chooses between D (Down) and A…

A: from the given data, we can see   player 1 plays 3 times and player 2 plays 2 times. to arrive at…

Q: Prove that there are infinitely many prime numbers that are square modulo 11 (trying to prove…

A: To prove: There are infinitely many prime numbers that are square modulo 11.

Q: The eigenvalues of a symmetric L2-kernel for ce {n} with no finite limit point.

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Q: 2. Consider the following vector v R¹ and the subspace SCR¹. S = span (a) Find an orthonormal basis…

A: Note:- As per our guidelines, we can answer first part of this problem as exactly one is not…

Q: Q: Consider the following system? = X₂-1 2 X²₂ = X₁ ²³-X₁-X₂+1 a) Find the equilibrium ponts of the…

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Q: (a) What is the set of subsequential limits? Justify your answer. (b) What is the lim inf and lim…

A: Introduction: A sequence can be divided into its subsequence. In some cases, the sequence varies for…

Q: x f(x) = 2–2 ln(2) Find the intercepts (if any), find and classify stationary points (if any), find…

A: Given function is fx=x2-2 lnx⇒fx=x21- lnx    Domain:- x∈ℝ : 0≤x<e  or  x>e

Q: 4. Seven idential matchsticks are laid out in the pattern shown, so that A, X, Y, and B are…

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Q: For y’ - 2ty = 2t3 from x = 0 to 1 with y(0) = 0. Solve the Initial Value Problem analytically.

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: d L=12 in The diameter is measured at some points and given in the table: z (in) 0 1.5 3 4.5 6 7 d…

A: Consider the diagram of the Football, The surface area for small length dz will be 2πrdz.…

Q: Question 5 5 Draw a large, neat and accurate sketch of the graph of y=x²-7x+10. Use rectangles of…

A: as given, width of rectangle is 0.5 cm and height is fx=x2-7x+10 area of rectangle is A= height…

Q: Solve the given differential equation by separation of variables. dy=x√√1-y² dx

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Q: Q6) (a) Determine the integral ſ dxdy over the surface S of the upper hemiellipsoid 2+2=1 1. (b)…

A: Given That : The equation of hemiellipsoid is: x2a2+y2b2+z2c2=1 To Find : a)∫∫sdxdy b) Volume of the…

Q: ose that a large mixing tank initially holds 200 gallons of water in which 30 pounds of salt have…

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Q: 1 (c) Amy delivers some letters. The ratio of large letters to small letters is 2:5 Amy delivers 84…

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Q: l. Multiple Choice Using the method of Lagrange multipliers, find the maximum possible area of a…

A: Introduction: When a multivariable function is to be extremized under some certain constraints, the…

Q: dz Find the total derivative given: a) z = f(x,y) = 2x + xy-y² where x = g(y) = 3y² b) z = f(x, y) =…

A: j

Q: Investigate the based on linearization 3 x = x₁ - x₁²³²+x₂z xr 394 - 292 6 Ac

A: This is a question of equilibrium and stability.

Q: X 27 x X # X = ? 7 #

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Q: Instructions Section 6.2 topics including compound interest, continuous compounding and geometric…

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Q: 3.9 Suppose that the second-order system i = f(x), with a locally Lipschitz f(x), has a limit cycle.…

A: Given that the second-order system x˙=f(x), with a locally Lipschitz f(x), has a limit cycle. To…

Q: Consider a set of four data points: f(0) = 3, f(4) = -2, f(-1) = 2, and f(1) = 1. In the following,…

A: Given: A set of four data points is f0=0, f2=-1, f-1=2 and f1=2. To determine (a): The matrix A and…

Q: Solve the following ordinary differential equations: nx - dy X y dy = Iny Ydx X

A: Sol:- Given differential equation can be re-written as :- y' =lny-yxlnx-xyExact Differential…

Q: s²+1 Find the inverse of Laplace transform of log ( (s-1)²,

A: Given  F(s)=logs2+1(s-1)2⇒F(s)=ln(s2+1)-ln(s-1)2 Now differentiating with respect to s…

Q: Is z = 0 an isolated singular point of f(2)= cot (7/2)? Provide reasons for your answer.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Assume that after one time period, the value of a stock (whose present value is R80) would be either…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Find the values of the coefficients aa, bb and cc so that the conditions   f(0)=−1,f′(0)=−5, and…

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Q: Four vectors: a = [0 2 2], b' = [1 0 -1], c' = [1 2 4 8], d' = [1 2]. Compute each of the following…

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Q: If 7 = (x+1)√√x² + yi+tan ¹(3x-y)j and g = = y find: fxcurl g+(g.V) at (0,1.4) x + y In(xy +2…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: In this problem, y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' +…

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Q: lim n→∞ n² n² 9n² +10n +3 = 9.

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Q: Suppose that only the points (x,y), j = 1...16, that lie on the graph y = f(x) of a function f(x)…

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Q: 2. A function is given by f(x) = 0.2+25x+3x². Now answer the following based on this function: Use…

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Q: Solve the ff. ordinary differential equation dy dx sin (x + y)

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Q: Consider the function f(z) = sin(z). (a) At what point (s) is f(z) differentiable? (b) At what point…

A: The given function is f(z)=sin(z¯). (a) To find: All Those points for which the function is…

Q: 2 Find the nth term of the sequence,. then find the 20th term. - \\\\a) U₁ - 2 and d = 3- c) U₁=0…

A: Given: (a) The values are u1=2 and d=3. (b) The values are u1=0 and d=23. (c) The sequence is…

Q: Let G= Find all the conjugate classes of (G,.). (i.e G={1,a,b,a.b}).

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Q: 10:37 01 -1 02-2 R3 → R3 -2R₂ 1 0 -2 0 1 -1 00 V₁ X2 YO x3 thus, we get x1 - 2x3 = 0 - x₂x3 = 0 let…

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Q: 3. Consider a function f(x) = based on this function: (a). (b) (c) 1 x(lnx)²¹ which is continuous on…

A: 3.a) Hint: Solve the integration ∫ee+1f(x) dx, where f(x)=1x(lnx)2.

Q: with the Find the nth term of the geometric sequence given first term u, and a common ration. What…

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Q: a Calculate the first 28 terms of the Diginacci sequence with starting terms 1 and 1, and then find…

A: Given That:  In Diginacci sequence, First two terms  are less than 100 To Show  : c) It has a term…

Q: State the solution formula for the Cauchy problem for the homogeneous wave equation on R3. Prove…

A: Given: Homogeneous wave equation is in 3rd dimension(R3) To proof: Solutions corresponding to a…

Q: Jump to level 1 Compute the value of -98 mod 9. Ex: 9:

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Q: 2. Show that if two sides of a cyclic quadrilateral are parallel, then the other two sides are of…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: (a) For the data given in the table below, calculate the second derivative at each data point using…

A: To find- For the data given in the table below, calculate the second derivative at each point using…

Q: 1) Determine the number of strings consisting of 6 letters from the English alphabet (26 letters).…

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Q: b) Round your answers to five significant digits. i) Using the polynomial from Part a), f(0.6)≈ P₂…

A: Given That : xn .1 .5 .7 yn -0.14943 -1.1518 -1.4845 To Find : a) Lagrange's polynomial…

Q: 3w -2x + y +z =4 -2z+w+ 4x -8y = -6 5w + 2y - z +2y =4 6z-y +3w-x=3

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Q: Xandria rides through a jeepney which charges P8.00 for the first 4 Kllometers and additional P0.50…

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