Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 13-12 6 18-23 15:λ=1,4,5 18-28 20

Q: using Gaussian Elimination Method ch²x dx 7. Find the determinant 5w+ 6x - 5y + 11z = 7 = (ac- | 10w…

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Q: pls answer 3&4

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Solve the matrix equation AX = B for X. 16 448 B= -54 A = 48 X= - 16 12

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Q: Given  ƒ(x)=  -4x-1/3x-2 Solve its inverse Determine the asymptotes Sketch the graph of its inverse…

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Q: Question = Find the interval of convergence for the power series representing ƒ' if f(x) = interval…

A: The given problem is to find the interval of convergence of the power series representing the first…

Q: Consider a 114 ft long, 4 in. type M copper tubing. (Due to the nature of this problem, do not use…

A: Given: The outside diameter is 4.125 inches. The inside diameter is 3.935 inches. The length is 1368…

Q: Prove n (1+x)n-1= Σ c(n, k) k xk-1. k=1

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Q: The integral I = ["in ( 1 + 427) dx In is [Hint: You may need to use the Mean Value Theorem for…

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Q: The U-Drive Rent-A-Truck company plans to spend $8 million on 280 new vehicles. Each commercial van…

A: Let x be number of commercial vans y be number of small trucks z be number of large trucks Now,…

Q: Let a) Use the fact that the Find the domain and range of b) show that tp (x) = 6² is decreasing…

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Q: 3) We know, by theorem, that if A is a square matrix then the following statements are equivalent:…

A: The given matrix is A=2401.

Q: a. What is the trapezoid approximation with n subintervals? T(4)= (Round to six decimal places as…

A: Let the given integral  I=∫1e6xdx   Take y=fx =…

Q: For each of the following two LP models, respond to the following questions using graphic tools and…

A: (1) The constrain which are binding the solution is  3x+4y≤242x+y≤10x≥1y≤5y≥0 (2) The redundant…

Q: How many three digit numbers (values between 100 and 999 inclusive) are divisible by four? How many…

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Q: Find (f◦g)(x) and (g◦f)(x) and the domain of each. f(x) = x + 2, g(x) = 4x2 - 7x - 2 (f * g)(x) =

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Q: Q #2 Please complete the blanks on the Unit Circles in Diagrams I-II. Diagram I Angle 8 (x,y)=( (cos…

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Q: A variable plane lx +my+nz = p (where 1, m, n are direction cosines of normal) intersects the…

A: Given: The equation of a variable plane is lx+my+nz=p. (where l,m,n are the direction cosines of…

Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one third of the…

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Q: 2. If A is a 3 x 3 matrix, prove that the determinant of A is equal to the determinant of AT.

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Q: 3. Write an equation of a rational function that has a graph with all of the indicated properties i.…

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Q: What is the maximum number of turning points that the polynomial function f(x) = 4x² + 9x² − 3x² +…

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Q: Task 1 using the definitions of limit and/or infinite limit show that if  limn→∞ sn = ∞,  then also…

A: If (s_n) is a sequence, then we write lim_n→∞ s_n = ∞ if ∀M >0, ∃N s.t. s_n > M ∀n ≥ N. Such…

Q: For the function f(x)=1/16x​, construct and simplify the difference quotient f(x+h)−f(x)/h.

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Q: How many integers in between 1 and 3000, inclusive are divisible by either 5 or 7?

A: Let A and B are two sets such that then number of elements in A and B are obtained as…

Q: 3. What is the lowest degree of the polynomials that gives the value of A. P7(0.1). B. ps(0.1). C.…

A: Please find the attached answer

Q: In this problem, assume that A and B are subsets of N, and f is a function N→ N. N-A≤N. Write in…

A: N - A ⊆ N ≡ ∀n ∈ N, n ∉ A => n ∈ N

Q: 4. SI. 1 2 3 4 X 0 1 2 Y 2.2 10.6 17.0 22.4 a. Use the nodes given above to set up a lagrange…

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Q: The first five terms of the sequence an = 3(2)n-1 are:

A: Given sequence is a_n = 3(2)^(n-1)

Q: Lucky Champ owes $191.25 interest on a 6% loan he took out on his March 17 birthday to upgrade an…

A: Given

Q: Multiply the products. n+1 (II ³). (*) k+2 k+1

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Q: Part a) Rewrite by peeling off the first term and the last two terms. n+1 k (k+1)! Part b) Rewrite…

A: Given that, ∑k=1n+1k(k+1)!   Consider the first term and last two terms in expansion as follows:…

Q: 1. Sketch a graph of f(x) State the domain, range, and equations of the asymptotes. Describe the…

A: Domain of the function is set of all the values where the function is defined. Range of the function…

Q: The owner of Sebastopol Tree Farm deposits $650 at the end each quarter into an account paying 1.75%…

A: principal value P=650 interest rate =1.75%=0.0175 time t=7 years  we want to calculate the future…

Q: 2y=0 and assume a solution of th wen by: A) cn=0.1.2.... +n point. point. pint. iven by: nt. -). 1+n…

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Q: 1) Consider the matrix A = −1 102 020 004 . (i) Compute the inverse of A. (ii) Write A as a product…

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Q: (a) Using row reduction method try to find A-¹.

A: Please find the attached answer

Q: 1. Write down the first five terms of the following sequences given the respective nh [(-1)") (1)…

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Q: Of the statements below, three are false and one is true. Find two of the false statements and give…

A: We will find counterexamples for the statements which are false.

Q: Give answer of last three questions

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Q: Problem 5 Compute the Fourier Transform of the following signal. Also draw the time and frequency…

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Q: A gardener can purchase two types of fertilizer. A small bag of jumpstart fertilizer has 7 units of…

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Q: Find the inverse, if it exists, for the given matrix. 5-9 4 -7 ... Select the correct choice below…

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Q: Let A = - 14 21 Find - 3A + 4B. -3A + 4B = and B = 24 69

A: Given that, A=-1421B=2469 The operation is performed as shown below.

Q: Given the differential equation y" + xy = 0 and assume a solution of the form y = Choose All Correct…

A: Given differential equation is y''+xy=0 The solution is determined as shown in the next step.

Q: A 35-year old woman has $366,210.00 in an IRA account. Due to medical concerns of a family member,…

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Q: 2k (4) Let E= R and fn = XAn, where An = [22] with 0<j ≤ 2 and j+2k = n. Compute f fn in terms of k…

A: Please find the attached solution

Q: Use substitution to solve the system. 7x+9y = -24 4x - y = 17 ... Select the correct choice below…

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Q: Combine the summations. n+1 -2. (3k²-2) +5. Σ (2k² − 1) (34² (24² k=1 n k=0

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Q: For the series 2 + (-4) + 8 + (-16) + … a1 =  r =  The sum of the first 7 terms, S7, =

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Q: (2) Let fn(x) = X(0,n)(x), x > 0. Find the pointwise limit f of (fn)n and show that (a) the…

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