For the sequence an = 2(an-1-2) and a₁ = 2, its first term is its second term is its third term is its fourth term is its fifth term is

Q: 16. y" - 5y' = 2x³ 4x² - x + 6 -

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Q: Find f '(a). f(t) 6t + 52 t +9

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Q: Let v₁ = V₂ V3 = 16 6 and H= Span (V1 V2 V3}. It can be verified that 4v₁ +5v₂ − 3v3 = 0. Use this…

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Q: 4. (a) Determine the volume of the solid obtained by rotating the region bounded by y = (x - 1)² and…

A: Since you have posted multiple questions and I can answer first question as per our company…

Q: Which of the following represents the expression as a single power (104) (107) 10⁹

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Q: QUESTION 8 What is the capitalized cost of the machine with an initial cost of P250,000 maintenance…

A: Initial cost of machine = 250,000Maintenance cost = 10,000Time period (n) = infinite ()

Q: Find C and a so that f(x) = Ca satisfies the given conditions. f(0) = 17 and for each unit increase…

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Q: Make a change of variable, x= Py, that transforms the quadratic form 2x + 12x₁x₂ + 2x2 into a…

A: Solution is given below in step 2.

Q: Write down the first five terms of the sequence an = 1 = 2 = 03 = 04 = 05 = (n + 5)! 7n²+6n +6

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Q: Use the inclusion-exclusion principle for the following:      How many 5-digit sequences using the…

A: By using o,1,2,3,4,5,6,7,8 and 9 we have to find out the 5-digit sequences

Q: Write an explicit formula for the sequence: 11 11 1 6'7' 8'9 10 5 an - 1 C BITT

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Q: You get a job with a salary of $38,000 a year. You are promised a $2,650 raise each subsequent year.…

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Q: io's gross earnings for last week were $528.54 His remuneration consists of a base salary of $480…

A: Silvio's earnings from commission = Let the sales beyond $5000 be 6% of  is equal to

Q: points] 1522 customers at a major retailer were surveyed whether or not they made a purchase and…

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Q: Solve the equation by factoring, One Solution is x = 6. Find the other Solution. (Enter an exact…

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Q: Consider the following election.  This is the same table as above. Number of Voters 16 11 12 4 1st…

A: Consider the following election. This is the same table as above.Number of Voters16111241st…

Q: Simplify the following: a²b³ a b d (2a³6²) 4 2a10b5 16a10b5 16a5b3 16a3b3

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. 65 5 6…

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Q: 5. Determine an equation for the quadratic function with zeros of √5 and - √5 and containing the…

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Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) v(t)…

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Q: Write down the first five terms of the sequence an = a₁ 9₂ = a3 = a4= 05 = (n+4)! 27

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Q: Find a QR factorization of A = 3 -1 3 3 L

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: 1. Use the Binomial Theorem to expand the following expressions. (a) (a-2b)³ (b) (x+3)4

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Q: Rewrite in the form -15x³ + 25x² + 12x - 17 5–4 = -15x³ + 25x² + 12x - 17 5x² 4 q(x) + r(x) 5x² 5 –…

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Q: Let A = PDP¯1 and P and D as shown below. Compute A4 12 20 P-[13] 0-13:] P= D= 5 A E (Simplify your…

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Q: Find the sum: -5+-8+-11+...+-23 Answer:

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Q: Let A = 6 3 Find two different diagonal matrices D and the corresponding matrix S such that A =…

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Q: which of the following expressions. can be factored by grouping. (select all that apply) 92-39+7ab+…

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Q: 2. Determine the root value of the equation in the 4th iteration of the equation below with using…

A: x3(x-1-3x+x-2) = -x x3(x-1-3x+x-2) +x=0

Q: 1. Draw the graph of y=x² and the tangent at x=1. Estimate the slope of the tangent at x=1 by…

A: To find:-

Q: Find the determinant of the matrix det (M) M = [3 0 2 0 0 3 0 -3 0 1 0 -1 -3 0 1 0 .

A: Matrix     Add column 1 to column 4:

Q: Find the inverse of the function f(x) = 4 + √√x-2. State the domains and ranges of both the function…

A: The given function is .To find the inverse function and find the domain and range of both functions.

Q: The profit function for a manufacturer is given by P(x) = -0.04x² +8.25x-250, for x ≥ 50. The…

A: The profit function for a manufacturer is given by  for

Q: Determine the horizontal asymptote of the graph of the function. 4x4 +3 5x4-2 f(x) =

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Q: W = A W = Ther The null and column space column space null space of an mxn matrix A is a

A: The solution is shown in step-2

Q: Write down the first five terms of the sequence an = J a₁ = a2 = a3 = 04 = 05 = 8n n+ 5

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Q: Factori 1-800/2+12 4√4

A: Let,

Q: The table describes a linear function. Fill in the missing numbers. x -4 2 . 4 Y 9 4.5 -3

A: Given:xy-49?4.52?4-3We are required to find:

Q: Determine if the following vectors are orthogonal. 12 u= 5, V= 1 2 -5 1 Select the correct choice…

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Q: Use the tables to evaluate (g of ¹)(1). 0 1 3 x f(x) 4 X - 1 g(x) 3 (gof ¹) (1) = 1 1 2 1 25 2 5 35…

A: From given table So,○

Q: A one borrowed ​$3500 from a bank for 6  months. A friend was cosigner of the man​'s personal note.…

A: The principal amount  =$3500. The time period is 6 months i.e.  The rate of interest is

Q: Find the change-of-coordinates matrix from B to the standard basis in Rn. 2 - 3 3 400 -5 3 -2 7 B=…

A: The solution is shown in step-2

Q: For the sum given in sigma notation below, write out all of the terms of the sum. Give your form:…

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Q: [6 0 0] Let M₁ 0 0 0 M₂ = 000 and M3 = = The set {M₁, M2, M3) spans the space of 3 X 3 diagonal…

A: We have to find the value of a1 , a2 , a3 .

Q: describe how the graph g(x)= 1/x+2 -3 can be obtained from the graph of f(x)=1/x

A: We have to describe how we can get the function g(x) from graph of f(x).Graph of f(x) is

Q: The profit function for a manufacturer is given by P(x)= -0.04x² +8.25x-250, for x ≥ 50. The maximum…

A: GivenTo find critical points, differentiate function and equate to zero. find 2nd derivativeSince…

Q: Given the geometric sequence: 33, Find an explicit formula for an. an = Find a11 = 6 12 — 1' 11

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Q: For the sum given in sigma notation below, write out all of the terms of the sum. Give your answer…

A: The given series

Q: valuate the rational function, if possible. m(y) = Y-7"

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Q: Factor the polynomial, P(x) = x³+x²-10x+8

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