Q11. Let T be a spanning tree of graph G. Suppose the spanning tree T has 13 edges. How many vertices must there be in the graph G? Your Answer: Answer

Q: ||| = = .36 ||| 3 10 |||| = 5.083 13 20 ||| 25 30/50 GREATEST

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Q: 1. Solve the DE shown below using Reduction of Order; n = 2 y" -n²y = enx

A: we have to solve the second order differential equation by reduction of order  y''-n2y=enx where n=2

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Q: Solve the following system of equations: x= 1 (mod2), x= 2 (mod3), = 3 (mod 5), x = 4 (mod 11).

A: Given system of equations x = 1 (mod 2) x = 2 (mod 3) x = 3 (mod 5) x = 4 (mod 11) We solve this…

Q: c) Consider the following game reward matrix (11 i) Use the Graphical solution method to determine…

A: B1 B2 B3 B4 Probability A1 2 3 1 5 p1 A2 4 1 6 0 p2 Probability q1 q2 q3 q4       B's…

Q: Σlogp pa P = xlogx + O(x).

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Q: 15 15 Local Extrema, Applied A Next week, we will look at some applications of Local Extrema, but we…

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Q: f: X→Y and g: Y→V be bijective functions. Show the following: ) gof: X→V is injective. ) gof: X→ Vis…

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Q: 26. State the domain and range of each function below. a) f(x)=3√√5x-30+4 b) g(x)= 5 12-2x +18

A: Given:  fx=35x-30+4gx=512-2x+18To find: Domain and Range of f(x) and g(x).

Q: 24 --[:] A= 36 (1) Det(A) is 0, so the inverse of A does not exist. (2) Det(A) is 0, so the Adjoint…

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Q: termine from the given graph whether the function has any solute extreme values on (a, b). Then…

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Q: Use Euler's method with step size 0.4 to estimate y(2), where y(x) is the solution of the…

A: Euler's method is used to approximate solutions to differential equations. The Euler's formula is…

Q: Prove by some form of induction: For n in natural numbers, let fn be the nth term in the fibonacci…

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Q: Given y=x2 ─5x+4, find: a) vertex b) x-intercepts(s) c)y-intercepts(s) d) axis of symmetry e)…

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Q: Find the eigenvalues for A. Carefully show your intermediate steps. (HINT: As a check for your…

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Q: it suppose be  145

A: Follow the calculation for step 2.

Q: A genetic bistable switch has the model ů α1 1+v² 02 1+u² - U i = where ₁ and ₂ are the expression…

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Q: Problem 7. Consider the power series 12. (a) Calculate the radius of convergence for this power…

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Q: Find the graph given the following table. f'(x) 0 X a b с 0 1 Choose the correct graph below. O A.…

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Q: Rose deposits P20,000 into a fund that earns 7.5% interest payable quarterly while Jack deposits at…

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Q: 20. y" + 7y" + 14y' + 8y = 0; y (0) = 1, y' (0) = -3, y" (0) = 13

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Q: You deposit $400 each month into an account earning 7% interest compounded monthly. a) How much will…

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Q: 1) let R be a set of real number and T={Ø, R, A,, aER), where A=(a,0). Show that whether T is a…

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Q: Find f√x² + y² +1 dx dy, where R is defined by x² + y² = 0 and y >= 0. R

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Q: Find the determinant:

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Q: 3. Using a semantic tree, show that a propositional logic sentence: E: if (if P then not R) and (if…

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Q: Let "A" be a 2 by 2 matrix. Given that Det (A) = 3. Find the Det (5A) = O 15 8 It cannot be found…

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Q: 1. Recall that Mnxn (R) is the vector space of n x n matrices with real coeffi- cients. Let A and B…

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Q: Determine the convergence or divergence of the following series. Σ n=0 n Vnt + 2

A: Here we will use integral test to check series is convergence or not .

Q: The QR decomposition of A = a) 10, 6, 8 b) 3, 4, 5 c) 6, 10, 8 d) 5, 3, 4 60 8 10 is 1 P[r q-r P 1"…

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Q: Find the (real) eigenvalues and associated eigenvectors of the given matrix A. Find a basis of each…

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Q: A = 05 14 and B= 37 30 Whish of the following statement is TRUE The inverse of A exists, but the…

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Q: :) - :) = (2₁) - (1-¹2) -35 -10, x= 3-() -35 -)-() -10 10+ x₂ 2x2 +15, is a critical

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Q: A record store is deciding on what price to sell its basic used cds and lps for. The profit model is…

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Q: You make a payment of $300 at the beginning of each month into an account that earns 3.6% annual…

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Q: Let G₁ be the solid in the first octant that is inside the paraboloid 2x² + 2y² = 8-z and below the…

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Q: 2. Determine the convergence/divergence of the following infinite series (completely justify your…

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Q: Find the (real) eigenvalues and associated eigenvectors of the given matrix A. Find a basis of each…

A: Given a matrix, A=3006-4-2-9126. To find eigenvalues and eigenvectors for the matrix A. Consider…

Q: Solve the 2nd-order linear non-homogeneous DE, y" + 36y=9e-9t subject to the initial conditions y…

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Q: 4. (a) Given the digraph G = (V, E) below, list out V and E. V₁ JS Ju (b) Given the digraph G = (V,…

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Q: X ft help (numbers) ft Maximum area S-ft² V- X A rancher has 576 feet of fencing with which to…

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Q: 5. If cos(x) following. Include the reference triangle. = and x is in quadrant 4, find simplified…

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Q: (b) Determine whether each of the following series converges or diverges. Write up your answer…

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Q: (1) This problem will allow you to experience the Legendre polynomials, which we used to define…

A: (a) Given, L0x=1, L1x=xLk+1x=2k+1k+1xLkx-kk+1Lk-1∴L2x=2+11+1x L1x-11+1L0x             =3x22-12…

Q: Let A = 123 456 Which of the following is TRUE

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Q: Σlogp p<x X = x logx + O(x).

A: