T F If a 5 x 5 matrix has only 3 distinct eigenvalues, then A cannot be diagonalizable.

Q: Suppose that cx converges when x = -4 and diverges when x = 6. What can be said about the…

A: As per company guidelines we are allowed to solve maximum three sub-parts so i am solving first…

Q: a.Assuming a, b, and k are constants, calculate the following derivative: (d/dt)( [ [a],[b] ]ekt =…

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Q: Examine the following conditional: If a graph is connected, has n vertices, and has n-1 edges, then…

A: If a graph is connected, has n vertices, and has n-1 edges, then the graph has no circuits. To Find:…

Q: n=0 3nen n² +1

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Q: = 3. Consider a network (G, w). Let c ER, and let m : E(G) → R such that m(e) = w(e)+c for all e =…

A: Ans-3) (a) We have to show that T is a minimum spanning tree of (G, w) if and only if it is a…

Q: Maximize p = 2x + y subject to x + 2y ≤ 10 -x + y ≤ 6 x+y≤6 x = 0, y = 0. P = (x, y) =

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Q: Consider the following function. t(x) = 2 [3] Step 2 of 2: Find the length of the individual line…

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Q: Using the table of Taylor series, derive a power series for f(x) = cos( sqrt |x|). a. Give the first…

A: a) a. Using the table of Taylor series, we have: cos(t) = 1 - (t^2)/2! + (t^4)/4! - (t^6)/6! + ...…

Q: For the integral over [0, π], we have: π an (1) sin(x) x cos (nx)dx (using symmetry of integrand) =…

A: The given integral is, an=1π∫0πsinx×cosnxdx. To evaluate the integration we use the formula of…

Q: Evaluate the given integral along the indicated contour C. 1.6. 6z dz, where C is z(t) = 7t³+ (6t4 -…

A: zt=7t3+i6t4-14t3+7, -1≤t≤1 We have to find ∫C6z dz.

Q: Let p be a prime. Let N be the binomial coefficient (). Show that N = 2 (mod p).

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Q: The combined volume of two prisms is 978 in ³. The volume of one of the prisms is 429 in³. What is…

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Q: Define partial differential equations, classify them also give the example of each type. Also…

A: Partial differential equations are multivariable function consisting of dependent variables,…

Q: Prove that cos x cos y ≤ x - y for all x, y = R.

A: Mean value Theorem : Let a function  f:[a,b]→ℝ be such that    (i) f is continuous on [a,b] (ii) f…

Q: How much interest would she expect to pay on the loan in the first month? Hint: 1. Use the simple…

A: The formula for simple interest I = P.r.t , where I is the interest, p is the principal (original…

Q: I need help use variation of parameters to find a particular solution, given the solutions y1, y2 of…

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Q: Exercise 8.1.4 In each case, use the Gram-Schmidt al- gorithm to find an orthogonal basis of the…

A: Introduction Let V=v1, v2, . . ., vk be an orthogonal basis for a subspace S, and Let u be a vector…

Q: Solve y"-3√²+2y=x,_ _y(0) = y² (0)=0 for the solution: Y'cAY+(x) P(D)= (6)

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Q: Kindly answer d,e,f and g

A: Ans- d) Possible reasons why Contractor 2 did not submit a proposal include: Lack of capacity or…

Q: (0) Σ n=0 6 + 8n + n2 3 + 2n + 9n2

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Q: Is A = 2 an eigenvalue of 32 38 ? Why or why not?

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Q: 8. Find the circulation of fluid motion F(x, y) = xyi-x²yj along positively oriented closed curve C…

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Q: 1) x + y + z = 9 2x + 3y + z = 23 3x + 2y + 4z = 22

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Q: The government of Grenada wishes to rebuild the West coast road that leads to the north of the…

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Q: The requirement for computer server capacity at a particular company is expected to increase at a…

A: If P be the initial/current capacity (in gigabytes) of the server, and if rate of increase per year…

Q: Solve an application based problem for parabolic equation using explicit method

A: We consider a parabolic equation which has a initial condition and Boundary condition. And solve the…

Q: 2 2) x₁ = 3X₁ + X₂ ~ 12 t -4X₁+ 2X₂ + 12t ร 5 X₁ (0) = 0, X₂ (0) =6 0)

A: Given system is   x'1 = -3x1 +x2 - 12t-----(1)…

Q: Mrs. Morton has a special reward system for her class. When all her students behave well, she…

A: Given: Mrs. Morton has a special reward system for her class. When all her students behave well, she…

Q: The graph of a rational function is shown below. Write the equation that represents this function.…

A: From the graph, it can be observed that: The x-intercept is -1,0. The y-intercept is 0,-2. The…

Q: U₁₂₁ = X u 3.12 Plug √²₂ = x² -3/2 3 √²₁ x ² + x² • X²³² = 0 3/2 2 √ ₁ x ² + x Su ₁₂ = Sx -3/2 Yp…

A: You have made a silly calculation mistake. Here it is

Q: Please re-write/ do this again with a clearer writing, find your habdwriting hard to follow

A: Given, function i : (X,T)-> (X,S) is a Identity function, i(x)=x.

Q: 3 Define the set S of matrices by S = {A = (aij) = M₂ (R): a11 = a22, a12 = -a21}. It turns out that…

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Q: 1. Given the function h(x) = (3x-6)/(2x -4) find h^-1(x)

A: Since you have posted a multiple question according to guildlines I will solve first(1)question for…

Q: (9) Milena has (16)/(6) cups of pancake batter. Her recipe calls for (1)/(3) cup of batter for cach…

A: Mina has 166 cups of pancake batter Her recipe calls for 13 cups of batter for each pancake

Q: (a) T F If a set of m vectors in R" is linearly independent, then m≤n. (b) T F A5x8 matrix cannot…

A: Since you have posted multiple subpart questions, we will solve the first three questions for you,…

Q: 7. The result AU (BNC) = (AUB) n (AUC) is true. (a). ILLUSTRATE the result using a Venn diagram. Use…

A: Using Venn diagram and another one method we need to prove  A∪B∩C=A∪B∩A∪C

Q: e say that a graph is k-regular if each of its vertices is the endpoint of exactly k edges. Consider…

A: A k-regular bipartite graph G=X⊔Y, E, where 1≤k≤n. A graph is said to be k-regular if each of its…

Q: TF If a linear system Ax = b is consistent, then rank [A b] = rank A.

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Q: Find the last three digits of 10140404

A: We have to find the last  three digit of 10140404

Q: Prove that the following function is convex over the set of positive vectors: f(x1, x2, x3) =…

A: Given : A function fx1 , x2 , x3=-x1x2+2x12+2x22+3x32-2x1x2-2x2x3. To Prove that the above function…

Q: Fraction of sky covered 1.0 20.9 20.8 20.7 206 Time of day Midn 3AM 6AM 9AM Noon 3PM 6PM 9PM 0.45…

A: Cloud Cover The table shows frequency of cloud cover in Minneapolis We have to find what percentage…

Q: Find real numbers a, b, and c such that the following are true. (a) ::] - [_ a+ba-c C b - a (a, b,…

A: We are given the equated matrices.

Q: (b) y" - y = cosh x .

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Q: Show that any element of the Euclidean group is an isometry of R^n

A: The Euclidean group is the group of isometries of Euclidean space, which consists of translations,…

Q: 8. Find the circulation of fluid motion F(x, y) = xy²i-x²yj along positively oriented closed curve C…

A: The circulation of a vector field F along a closed curve C is defined as the line integral of F…

Q: Determine whether each argument is valid or invalid. If it is valid, give a proof. If it is invalid,…

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Q: Writing an expression as a single logarithm Write the expression as a single logarithm.…

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Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the…

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Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

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Q: figure 3 cm 6 cm 34 15 cm 7 cm 5 cm

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