1. Determine the Fourier series of the following 17 (1|5) fle) = lo d>5) a. 15 (-7sts7) o otherwise ALE) = %3D b.

Q: Find the Laplace transforms of the .given functions f(t) = cos (5t)

A: using trigonometric identites : cos (2t) = 2 cos2(t) - 1rearranging we have cos2(t) =cos(2t) + 12cos...

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Q: show that uuX)-X (1+x*J% I'sasolutionto integralequation ux)=X-sinh (x-t)u (t) dt

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A: Hope this is useful

Q: Find all elements of order 5 in Z15.

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Q: Disjoint Set 4. 1. If every element of A is oalso an element of B. If the they have common element I...

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Q: 1. Find the general solution for each of the following Cauchy-Euler equations. (a) x²y"(x) + 3xy'(x)...

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: и" + 7u 3D 0

A: Given differential equation u''+7u=0we have to find general solution

Q: Eliminate c, x?y = 1 + Cx A (2+x²y)dx + xdy = 0 B B (1+x³y)dx + x²dy = 0 © (1+x?y)dx + x³dy = 0 D (1...

A: Using the quotient rule of derivative, it can be written that: fg'=f '·g-g'·fg2.

Q: Question 14 Simplify 10 A) -1 B) -i c) 10 - 10i D undefined

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Q: Consider the linear operator L: BC[0, ] → BC[0, 7] defined by Си — и" - 2и is unbounded in the sup n...

A: Consider the linear operator L:BC0,π→BC0,π defined by: Lu=u''-2u. We know that the set BC0,π is cons...

Q: Deteraitne wbetber each ef tbe stateneTis below are 'Tras and Fabs. If tbe statEueTi is 'Ins, rove i...

A: (a). The given statement is: "If g:0,∞→ℝ is a continuous function such that limx→0gx=0, then ∫1∞gxdx...

Q: Consider the initial value problem and find the solution: a. y" + 5y" + 17y' + 13y = 0, b. y" + 4ay'...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: 8) Using Theorem 6.2, show all work and determine the smallest integern for which f(x) = 2x3 + 4log(...

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Q: A steel manufacturing company has 2 types of steel: High Carbon and Low Carbon. The table below prov...

A: The given problem is related to linear programming problem. We solve it by graphical method. The sol...

Q: For each of the following functions f(n), show a function g(n) such that f(n) E e(g(n)) and orovide ...

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Q: Factor 14x + 10y. Write your answer as a product with a whole number greater than 1. (O)

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Q: The Sanchez family takes out a $200,000 loan for their fixed-rate, 30-year mortgage. The annual inte...

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

Q: Use only Definition 3.1.1 (or its negation) to prove the following: 2. Prove that the sequence ((-1)...

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Q: .2 dx V4x – x2 3.

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Q: QUESTION 7 Match each measure of center with its definition. v mean A. the middle value of a dataset...

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Q: 33. Find a linear differential operator (of lowest order) that annihilates the given function: f (x)...

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Q: 8 24 Let a = and b 26 Is ba linear combination of a and az ? OA. b is not a linear combination. B. Y...

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Q: 1. In your drawer, there are 6 identical pairs of purple socks, 7 identical pairs of polka dot socks...

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Q: Factor 30t - 50u. Write your answer as a product with a whole number greater than 1. (D)

A: We have to write the given expression as a product of factors.

Q: Solve the following: 1. (x-2iy)-(y-ix)=2+i, x=?; y=? Express in Polar Form: 1. 3+i4 2. -3+i4

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Q: II. Find the area of A ABC with the given measurements. Round to 1 decimal place. 6.) B = 130°, a = ...

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Q: Question 2 The median of a sample is the most frequently occurring value in the sample. A) True Fals...

A: In statistics and  probabiliy  theory the median is the value separating the higher half from the lo...

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A: As per norms, we will be answering only first three subparts. If you need an answer to others kindly...

Q: Factor 50x + 90y. Write your answer as a product with a whole number greater than 1. Submit

A: To Factor 50x + 90y :-

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Q: Obtain the general solution of the differential equation (x2 + у?) dx + (x2- ху) dy 3D0 A (x + y) = ...

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Q: Question 16 Which among the choices is linear differential equations? dy -+ycosx= sin x dx a. d*y %3...

A: The general form of n-th order linear differential equation is  (dny/dxn) + P1 (dn-1y/dxn-1) + P2 (d...

Q: Find the exact solution.

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Q: The line of action of the 3450-lb force runs through the points A and B as shown in the figure. Dete...

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Q: z" – 2z' – 2z = 0; z(0) = 0, z'(0) = 3 |

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Q: 3. Boundary Value Problems (BVP) For each choice of g(x) listed below, find all solutions to the fol...

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Q: AD = 12.363 "(-1.2278 x 10-1"7² + 6.1946 x 10-°T + 6.015 x 10-)dT a. Use 6 segment Simpson's 1/3 Rul...

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Q: Compute the average rate of change of f over the intervals [5, 6] and [7, 8]. rate of change over [5...

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Q: 3. Show that f(2) = Re(z) is not analytic using the following two methods: Use the Cauchy-Riemann Eq...

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Q: e. 2 v-1/8

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Q: We have found the constants for the equation relating X to t. Now we can solve for X. For convenienc...

A: Here we have, 150-x120-2x=54e180kt   We need to find the value of x. However cross is already done i...