QI\ Find Fourier transform for: A) f(t) = U(t)sin² (3t) C) f(t) = elct sinh(bt)

Q: 1. Use induction to prove the following: 2 2n²+37²+n a) 1² + 2² + ... + n² = +n² = 2n² +31 6

A: The objective of this question is to prove the given formula for the sum of squares of the first n…

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Q: 2. Find the period and graph the function. a) y = tan 4x b) y = tan 2 (x + c) y = 3 sec 2 (x πT 2 πT

A: Formula:Period of Since tan(x) period is  , so the period of  is          (  here b = 4 )Graph:

Q: 4. Consider the matrix: 1 2 1 3 4 A1 12 13 2 3 5 2 7 (a) Find a basis for the column space of A.…

A: According to our guidelines we can solve only the first three parts of a question and rest of the…

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Q: The differential equation: is exact. Select one: O True O False (5x²-5y+3)dx-(3y²+5x-2)dy = 0

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Q: (Review of Complex Numbers) The three most important facts to know about complex numbers are that ⚫…

A: hello  I have given the solution below please rate positive Explanation:

Q: (3.2) Find the second order Taylor formula for the following functions at x0 = 1) f(x, y) = tan(2x +…

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Q: roject the vector b onto the line through a. Compute the error e = b - p. Che at e is perpendicular…

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Q: The proportion of adults living in a small town who are college graduates is estimated to be p=0.3.…

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Q: If fx 1(2) = (x+x²+1) (24+1) then the least integer n is

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

Q: How many 3-permutations of the set S = {a, b, c, d, e} are there?

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Q: d bases for the column space, the row space, and the null space of matrix A. You uld verify that the…

A: Vector space.

Q: -7 FOURIER-LEGENDRE SERIES Showing the details, develop (x + 1)² -

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Q: Let F(x, y, z) =, S is the part of the paraboloid z = x² + y² - 1 that lies below the XY-plane and S…

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Q: 3) Suppose that we need information about the derivative of the data below. a) Apply forward,…

A: The data is given for the function…

Q: ider the (2kxy-6x)dx + (2x² - 2y)dy = 0, where k is a real number. If the given differential…

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Q: In Exercises 11 and 12. determine whether the span of the column vectors of the given matrix is R¹.…

A: Given matrix is:Here the column vector are

Q: Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the 8…

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Q: F(x) = -3x^4 +6x^2-10 Show algebraically whether f(x) is even odd or neither. Shw details…

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Q: 11. Consider the matrix A 0 1 ^= ( -4 -'). -% -q -P where p and q are positive. What condition on q…

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Q: 1) The function, y =sin(5x-3t), represents a traveling wave with height y, position x andtime t.b)…

A: Speed = 3/5Direction: Positive x directionExplanation:

Q: pls help me.Tittle my name :berkay emre

A: The graph represents the function y=e2x−ln(3x2), plotted over the interval x from 1 to 6. As…

Q: Consider the following transportation table: Destination Origin Supply 1 13 2 3 5 1 300 2 7 1 00 8…

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Q: Question 1 ( a and b ) and q4 please!

A: We show that it converges conditionally..........

Q: Suppose f: R2 × R² × R² → R was a 3-linear form on R² such that Compute f '(8·0·8) - 0, f (8.0·8) –¹…

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Q: Suppose Σ Xk converges absolutely, and that Σ xk = L k=1 k=1 (a) Prove that Σ/(k=1k||4|. Note: this…

A: Given that So from definition of absolutely convergence, now let sequence of partial sum of As..Then…

Q: 7. If Sin A = 3/5 and Sin B = 5/13, where A and B are acute angles, find without using tables, the…

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Q: If u(x) is a differentiable function, n is any real number, and f(x) = [u(x)]", then. ○ ƒ'(x) =…

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Q: Plz answer  if u answer  correctly other wise dont  I vill  report if not corrected......

A: The objective of the question is to find an orthogonal matrix P and a diagonal matrix D such that D…

Q: How many one-to-one functions are there from a set with four elements to a set with five elements?…

A: Since you have posted a multiple subparts question according to guidelines I will solve…

Q: Write the following expression as a single summation in terms of k. W m ? k k+8 + m+1 = m+9 k = 1…

A: Summation is  ∑k=1m+1​k+8k​Explanation: to combine the given summation and the additional term into…

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Q: Find f'(x). f(x) = 6 In (7+9x²) f'(x) = ☐

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Q: Use the appropriate property of determinants to find a. Do not evaluate the determinants. 03-3 0 1…

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Q: 17. In the acute - angled triangle OPQ, the altitude OR makes angles A and B with OP and OQ. Show by…

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Q: 2. Let C be the part of the graph of y = √√x² - 1 between x = 2 and x = 3. (a) Write down a…

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Q: Consider strings of length n, n ≥ 1, over the set (a, b, c, d). (a) How many such strings contain at…

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Q: Questions: 2 part a question I 2 part b Handwritten clearly and cannot stress this enough, not…

A: 2a) Both i) z + i(z - Z) - 2 = 0 and ii) Im(z) = 1/2 represent the real (x) axis, as they satisfy…

Q: Determine whether the set of vectors is a basis for the subspace of R^n that the vectors span.…

A: a) Suppose that    be  a  basis  of      Then, which is  a  contradiction.    Hence, is  not a…

Q: Consider the network (G, w) with V(G) = {a, b, c, d, e, f}, E(G)= {ab, ac, ad, ae, af, bc, bd, be,…

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Q: 10. Let T: R2 R2 be a matrix transformation that maps u= [1] into [B] v= mape=[3] into [1] what is…

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Q: 1) Solve the differential equations part d) et dy + y sint = cost part e) -Jo = e 2t de siny part F)…

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Q: Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the…

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Q: What missing exponent makes the equation true?   46 • 4n = 411

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Q: The vector u = i - j + 2k is positioned at a point P in space with coordinates: (x, y, z) = (2,1,3).…

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