Evaluate the number. C(13, 8)

Q: Let A = = [42] Therefore, to find λ, we need to go through the following steps: der (A-2)=0 det…

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Q: Let Find a Jordan canonical form of A. 2 -2 -2 -2 22 0 1 3 -2 3 3 -6 3 7

A: From the given matrix find the characteristics equation.

Q: 1. Construct the intersection graph for the collection of sets: A₁ = 0,2,4,6,8 A₂ = 0,1,2,3,4…

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Q: Solve the given differential equation by undetermined coefficients. y" -y' +16y = 4 + e4x

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Q: a. A: = a: b: -1 1 1 0 A A This is the result of the inverses of the matrices: 3/2- -1/4 -3/2 5/4 0…

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Q: Do the columns of A span R4? Does the equation Ax = b have a solution for each b in R4? A = 3 3 3 2…

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Q: Let R² have the usual metric √(x₁-9₁)²+(2₂-1₂) 2 R2 dowy) Sketch S₁ (0,0), S,CI,₁), S, [CO,0)]

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Q: 31. If f: R→ R and g: R → R are both onto, is f + g also onto? Justify your answer.

A: A function h : R → R is onto if for any y ∈ R, there exists x ∈ R such that h(x) = y.       i.e.,…

Q: 12.) Let h: IR³ -> IR5 and g: IR² -> IR³ be IR² -> IR³ be given by hcxy. 2) - (xyz, ex* x sin(y),…

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Q: Consider the function f(x) = 4 − |x| defined on [-4, 4]. (a) Compute the left Riemann sum L12. L12…

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Q: A) Determine the Fourier Transform of the rectangular pulse signal II (t) = (1, -1/2 ≤t≤ 1/1. (o,…

A: This question is about fourier transform

Q: Problems In each of Problems 1 through 4, use Euler's formula to write the given expression in the…

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Q: For each of the series below select the letter from A to C that best applies and the letter from D…

A: As you are posted multiple questions but according to bartleby guidelines we do only first question…

Q: Find (a) the volume and (b) the surface area of the figure. (a) Volume= not round.) (b) Surface area…

A: Volume of this figure is 6×4×2.9 in3= 69.6 in3

Q: In each of Problems 7 through 12, find the solution of the given initial value problem. Sketch the…

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Q: Matrix B= Select one: O a. Which one of the following sets of eigenvectors is CORRECT? O b. O d. λ =…

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Q: Which dilation is shown by this graph? N O x O T N X 4 O -4 O A D₁ (AXYZ) y B. D3 (AXYZ) C. D₁…

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Q: Find the volume of a solid of revolution using the cylindrical shell method that occurs when the…

A: The region bounded by the curve y = x^2 and the line y = 2^x is rotated around the y-axis.

Q: The Assignment Find the degree seven polynomial (i.e. the series solution taken out to the seventh…

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Q: Let x = 1 -3 3 0 , Y 1.5 4.5 -5.5 1 7 -9 -5 -37 Use the Gram-Schmidt process to determine an…

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Q: TU 2 The integral s tanx X dx can be '0 written in the form ab ln c, where a, b, and c are integers…

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Q: Find the 16th term of each sequence below: {0, 1, 1, 2,...} 4 8 16 32 5 15' 45' 135' 1/5,...}

A: To find the 16th term of given sequence. We will use A.P and G.P sequence nth term for finding 16th…

Q: a. Define F: Z → Z by the rule F(n) = 2-3n, for all integers n. (1) Is F one-to-one? Prove or give a…

A: 12. a) The given function F:Z→Z by the rule Fn=2-3n. We have to check F is one to one and onto.

Q: Find the sum of the first n terms using the formula: a(1r) 1-r 1,-1, 1,-1, 1, ... (31 terms) Round…

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Q: If OA = 12 i + 6j + 5 k and OB = 6 i- 2 j + 5 k, find |AB|: AB:

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Q: Use the method of Frobenius and reduction of order procedure to find the first three nonzero terms…

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Q: [3 3 2 2 1. Compute the determinant of the matrix A = 4 1 2 10 (a) row 3. (b) column 4. (c) a…

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Q: If $800 is borrowed and the interest after 6 months is $72, what is the annual interest rate for a…

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Q: Given F = (3yz, 3zz + 2,3ay+2=), find a function / so that = Vf f(x,y,z) - Use your answer to…

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Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

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Q: Give an example of two non-isomorphic graphs each containing 5 vertices and 8 edges

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Q: 1. For each of the following matrices: (a) Find the eigenvalues of A (b) For each eigenvalue A of A,…

A: A=3102 Finding the eigen value  A-λI=0⇒3-λ102-λ=0⇒λ-3λ-2=0⇒λ=2,3 Finding the eigen value for λ=2…

Q: Problem 30. Solve the following Cauchy problems 1. Uux + Uy u(x,x) = 1 = 0 Here a = z, b = 1, c = 1,…

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Q: A function f(t) defined on an interval 0<t<L is given. Find the Fourier cosine and sine series of f…

A: Given: ft=0,0&lt;t&lt;13,1&lt;t&lt;20,2&lt;t&lt;3 To find: First four terms of the Fourier sine…

Q: 03 for (x)= ntsinx. 2. un on VER () Prove in converges uniformly or (11) lim (1 fn (x) njo or lim…

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Q: Given the following PDE: ua tuy tru = 4x Using the change of variables method find the general…

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Q: Find the unique vectors y₁, y2 with the properties y = y₁+Y2, Y₁ Y2 = 0, y₁ € Col A.

A: As per Bartleby guidelines, we can solve only the Q3. Please repost the question again and request…

Q: Problem 3. ( Determine for four (4) of the following series if they converge or diverge. Explain in…

A: Dear Bartleby student, according to our guidelines we can answer only three subparts, or first…

Q: Two similar-looking series are given. Test each one for convergence or divergence. (a) W O…

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Q: Let (5,d) be a space and pes. Identify desribe S1 (P), S₁ (p), Sacp) Si discrete metric or

A: This question is about describing the sets S1/2(p), S1(p) and S2(p) in a discrete metric space (s,d)…

Q: Suppose the solid W in the figure consists of the points below the xy-plane that are between…

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Q: Consider the function f(x, y) = = √x−2+√y- (a) Determine an expression for the domain. Show all your…

A: The set of all possible values which qualify as inputs to a function is known as the domain of the…

Q: Calculate the following limits, or explain why they diverge. (e) lim 3 sin r²- 6 cos(x/√2) x-6

A: Here the limit is given by limx→∞3sinx2-6cosx2x-6  We have to determine the limit if exist and if it…

Q: Evaluate the integral when - //., F. I = and the disk F = 3yj5z k and S consists of the paraboloid…

A: We have to evaluate I=∫∫SF·dS where F=3yj^-5zk^ and S contain the paraboloid y=x2+z2, 0≤y≤1and the…

Q: 19. 12y" +2ty' - 2y = 0, t> 0; y₁(t) = t 20 2," +201²+ ( 0.

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Q: Let R = {(a, b) | a = b (mod 3)} be an equivalence relation on the set of integers Z. What are the…

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Q: f(x, y) = 4x² + 5y2 on the closed triangular region bounded by the lines y = x, y = 2x, and x+y=6 A)…

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

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: An open-top rectangular box is being constructed to hold a volume of 300 in³. The base of the box is…

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Q: Problem 3.6. This task is about the 2-periodic function f(t) = { 0 if −1≤t≤0 if 0 ≤ t ≤ 1. t (a)…

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