Description Given f(x) dx A. Use Simpson's Composite rule (xo, x1, ... , X20) to approximate its value B. Use the formula given in class to find a bound for the error. C. What is the actual error?

Q: бп? + Зп = 3 2n2 – 5 Prove lim 6.

A: Limit of the fractional  value

Q: -3] Let A be a 4 x 4 diagonalizable matrix, P = |–1 1 1 0 2 1 [1 01 P-1 D = |0 Lo 2 1 3 If P-1 A P =…

A: Given A be a 4×4 diagonalizable matrix. And given matrix is P=00−3−110102, D=100020002 and…

Q: Q) fınd Fourier series on [0,27] (3) ƒ(x)=cos x %3D

A: Given, f(x)=cos x   ;   0,2π To find: Fourier series of f(x) As per the policy guidelines, the only…

Q: Iuse series representation to approvimate the integral Hint i Sum the first four terms of the series…

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Q: 4. The area of the region between the curve y=x* and the line y%3D4 is divided into equal partitions…

A: Given curves are y=x2 and y=4.Also given that y=c divided into equal parts of the area.

Q: 4 9. The vector is a linear combination of the vectors and -7 if and only if the matrix 8 equation…

A: Let A be a m×n matrix then the system Ax = b has a solution if and only if b is a linear combination…

Q: Determine one real root of h (x) = In(- -3 between -0.9 and -0.2 using the Bisection Method. Compute…

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Q: Find the present value of the following deferred annuity due. Periodic Made Payment Period of…

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Q: 1. Solve the following linear systems using Cramer's Rule and Gauss Elimination Method. 0.5x + 3.5y…

A: Since you have posted a multiple question according to guildlines I will solve first question{Q(i)}…

Q: B) Find the unique polynomial P(x) of degree 2 or less such that P(1) = 1, P(3) = 27, P(4) = 64…

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Q: find the afPkoximate Vatue of: (3.01)*+(5-98)²+(2.03)?

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Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…

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Q: Let D_8 = . Let S_3 be the symmetric group of degree 3. Let G = D8 x S3. Let H = x and K = x…

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Q: 0, -T <r < 0, 3. Consider the function f(x) ={- (a) Find the Fourier series of f over the interval…

A: At the point of discontinuity of the function f(x), the Fourier series converges to the average…

Q: True or  false- Standard form for a polynomial function is determined by the descending order of the…

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Q: 2. Find Inverse Laplace transform for the following functions: s2 + 3 b) F(s) (s + 2)²(2s² – s – 1)

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Q: ata is summarized by the stem and leaf plot below. Stem Leaf 1000011 22344589999 2 012366778889…

A: 1. 18 appears one time in the data set therefore first statement is false 2. the value 39 appears 4…

Q: Let Г3 -5 -1 A 2 3 3 2 В -3 -3 If possible, compute the following. If an answer does not exist,…

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Q: 11. to help pay for new costumes for a play, a theater invests $1900 in a 42-month Cd paying 3.6%…

A: Compound interest = total amount of principal and interest in future (or future value) less…

Q: -2.x 2. Apply Maclaurin's series to obtain the first 5 terms in the series for e

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Q: Oiscuss the Convergen ce or Divergence n? tin3 n3 -1

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Q: Find the (a) true error and (b) relative error of the following: The derivative of f(x) = ln x at x…

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Q: 4. Solve the following problem in co,00) x (0,00) for xE(0, 0) for tE [o, oo) U(x,0) = J(X) uc0,t)…

A: We have to solve the following :       ut-∆u=0  in 0, ∞×0, ∞ux, 0=gx for x∈0, ∞u0, t=0 for t∈[0, ∞)…

Q: Consider a Ctosed Kectangutar boxwith a Hw.4 squar bare If base side is measured with evror at and…

A: Let the side of square base is x and and height is y. given that error in x is 2% and error in…

Q: nd Solve:- Qz: Chssify - 3x dy +(3メ+リ』 = e

A: Given differential equation is xdydx+3x+1y=e−3x. Simplify it, we get dydx+3+1xy=e−3xx Now, the…

Q: Consider a pentagon P with 100 points in the interior of P. Let T be a triangulation of P with…

A: Given that P is a pentagon with 100 points in the interior of P. T be a triangulation of P with…

Q: 4. Find the number of surjections from (1, 2, ..., m) to (1, 2. that no element in the range has a…

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Q: Use the given transformation to evaluate the integral. 3xy dA, where R is the region in the first…

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Q: find the approyimate Value of (3 (5-912 (2.o)2

A: given expression73.012+5.982+2.032

Q: dy dx 2 x +34-4 4メ+y -3

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Q: Use the compound interest formula to compute the total amount accumulated. $7,000 for 5 years at 2%…

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Q: 4. Find a general solution to the equation y' – 3y = e" sin(2x). -

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Q: A is 2 by 3, B is 3 by 2, C is 3 by 4, D is 2 by 4. All entries are 1. Determine if the following…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: a) Find the value of p such that the series 00 E(-1)2n+1 -1 is a 9-series nºp n=4 Answer: p = b)…

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Q: Given the differential equation y' = 4 cos(5y) and y(0) = 27 1. Use implicit derivatives to find "y"…

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Q: Use the present value formula to determine the amount to be invested now, or the present value…

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: d²x + 2x = y dt? d?y +2y x dt2 d) x'(0) = y'(0) = 0

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Q: 3. A subspace U C Rº and x E R® are given by 3 1 -3 -1 -3 4 -3 2 U = 1 1 and x = 2 -1 2 2 1 7 2 [1/2…

A: As per the question we are given a subspace U ∈ R6×4 and a vector x ∈ R6 And we have to find the…

Q: Let B={b,,..., b,} be a basis for a vector space V. You will be proving the following by filling in…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Determine the answer to the question. Twelve percent of what number is 48? The answer is

A: Let n be the required number.  Then,         n x 12% = 48       =&gt; 12n/100 = 48       =&gt; n =…

Q: The volume of the solid enclosed above by p = 5 and below by ø = x16 is Select one or more: O a. (2…

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Q: Use the formula = to find the torsion of the following curve at a general point. |r'(t) × r"(t)|2…

A: To find the torsion of the following curve  r(t) at general point and at t=0 .

Q: xInx at 0<x<1 1-X Show that the function f(x)= is integrable on the interval [0,1]. at x = 0 -1 at…

A: The problem is from Theory of Integration.

Q: * - xy + yỷ dA where R is the region given by x² – xy + y < 6. Consider R After using the…

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Q: Let f1, f2, .. fn be n real-valued, differentiable functions.- Prove that e :[fif2 ... fn] = (fif2…

A: We have to prove that the given formula.

Q: Let R be a relation on the set of all non-negative integers defined by aRb if and only if a3 - b3 is…

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Q: 4"Ch'tl find the intervel and radins os converigence Sellowing Power series.

A: Given series is ∑n=0∞nxn4nn2+1. We have to find the radius of convergence and interval of…

Q: 4- From the generating function, prove the recurrence relation: 2n Jn-1(x) + Jn+1(x) In(x)

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Q: 3. Let K(r, y) = xy(x+ y), 0 < x,y <1 and consider the following operator K K f(y) = | K(y,…

A: As per the question we are given a kernel function K(x,y) = xy(x+y) for 0≤x,y≤1 And a operator k.…