1. Find the Fourier series expansion of the following periodic function: 0, f(t) = {(2-t) -2 < t < 0 0

Q: 2. Mention the differences between Fourier series and ourier transform also solve two application…

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Q: x-1 y-2 z-1 2 -6 7 1 F(t) = ( 21 + ¹ )i + ¹/ (m² − 3)} j + t√21³-1k at t=1 1 4 (c) show that the…

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Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an…

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Q: Q3.lf f(x,y) = sin²(x-3y)+sin(xy find: and af dy ax

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Q: graph and find the area of the loop bounded by the curve a^3y^2 = x^2 (a-x)^3

A: The given curve is a3y2=x2a-x3y2=x2a-x3a3y=x2a-x3a3y=xaaa-x3 The graph is shown below.

Q: An insulated heated rod with spatially heat source can be modeled with the Poisson equation. of T =…

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Q: Consider the following initial value problem: x(0) = 2, x' (0) = -1. Using X for the Laplace…

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Q: Let Y = {−1, 1}. Then, (1) There is no continuous function f : X → Y , where Y is equipped with…

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Q: dP/dt + 2tP= P + 6t - 6 a) Find the general solution of the given differential equation. b) Give the…

A: To solve this problem ,we use the following concepts  1)interval of defination: let  dp/dt +f(t)p…

Q: Let A :- -2 4 -4-2 3 2 -8-5 (a) Show that A is diagonalizable and find a nonsingular P such that…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Consider the equation where x1,x2,...,x9 € N. How many solutions are there if: a) b) c) Xi 9 for all…

A: As per the question we are given a linear equation : x1 + x2 + ... + x9 = 73 And we have to find the…

Q: Calculate the Fourier series of the periodic function depicted in the figure below. 1.1 1 0.9 0.8…

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Q: 1. 1 3 2 3 1 6 5 4 5 39785 Given the matrix A= 2 (a) Find a basis each for N(A) and C(A). What is…

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Q: described

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Q: CORRELATION: Solve the value for Ryx [A]. (DO NOT USE SHORTCUT) Given: X(n)=(3, 2, 4, 1, 5, 8 Y(n) =…

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Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: Use laplace transformation to solve the following differential euqations. Show all the steps…

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Q: Prove the following. 1. Prove that the number of odd vertices of a graph is even.

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Q: Evaluate [¹ ` = s+1 S s² (s+2)³

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Q: Use the Alternating Series Test to determine whether the series converges. 00 2 Σ (-1)k+1. k=1 k 4…

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Q: x 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.62049 0.28398 0.00661 0.24842 0.32513 0.45789 Compute…

A: Given the data: x 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.62049 0.28398 0.00661 0.24842 0.32513…

Q: y" - 10y' +9y = 5t, y(0) = -1 y' (0) = 2

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Q: The point x = 0 is a regular singular point of the given differential equation. 3x²y" - xy + (x² +…

A: Given  3x2y''-xy'+x2+1y=0

Q: Consider the following initial value problem: x" 5x14x = sin(8t), x(0) = 2, x' (0) = -1. Using X for…

A: In your answer this will be 696 place of 632

Q: The total amount of candy sold at Cassandra's Candy Corner can be represented by the function C(x) =…

A: Amount of candy sold year per type=C(x)/T(x)

Q: If sin a = 0.211 and sin 8 = 0.304 with both angles' terminal rays in Quadrant-I, find the…

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Q: Find Laplace transform for the following functions 3) f(t) = t cosh(at)

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Q: he following scenario is analyzed in the three problems that follow it. Four partners are dividing…

A: A fair-division technique that works for multi-player, continuous fair-division games is called the…

Q: The height, h, in centimetres, of a piston moving up and down in an engine cylinder can be modelled…

A: Period  of a function

Q: 2. Equip C[0, 1] with the inner product (f 19) = f f(x) g(x) dr. Define the func- tions fi(x) = 1,…

A: 2. Equip C[0, 1] with the inner product &lt;f|g&gt;=∫01fx gx dx   Define the functions f1x=x,…

Q: ii. iii. iv. Prove that "if n is an integer and 3n+ 2 is even, then n is even" using a) proof by…

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

Q: Español Eleven students were asked how many thiles they live from school. The results are shown in…

A: Given: A line plot of a data, To find: Mode and range of given data.

Q: = secvd-1 seco -1 Express each of the following expressions as a single trigonometric ratio and then…

A: Express each of the following expressions as a single trigonometric ratio and then evaluate to an…

Q: a) Absolute Maximum: c) Local Maximum: v e) Use CU and CD to label concavity (up or down) across the…

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Q: Q7. Solve the following equations: 3.2. cos¹ 4x-sin' 4x+x

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Q: Consider the following initial value problem: x" - 5x²14x = sin(8t), x(0) = 2, x' (0) = -1. Using X…

A: We will use Laplace transformation table  f't  = s Fs− f0f'' t= s2 Fs − s f0 − f0Lsinat=aa2+s2

Q: Use the ALEKS calculator to evaluate each expression Round your answers to the nearest thousandth.…

A: We know that ln(x)= loge(x)  And log(y)=log10(y) ,                  also log(x/y)=log(x)-log(y)

Q: (b) Find the inverse Fourier transform of the 2 sin 5 (i) (ii) √√2π.w 1 √√2π (3+jw)

A: According to the Fourier inversion theorem, a function can often be recovered from its Fourier…

Q: Find the Fourier series of the following functions 3. f (t) = { -1 for-1<t<0 for 0<t<1 }

A: Sol

Q: set-up is used for the following three problems. Mahmud, Katya, and Safiya are dividing an estate…

A: Option a is correct answer

Q: of the null space and the dimension of the column space of the -6 8 12 3 -47 2 12 4 -6 6 -8 (a)…

A: We know that  rank(M) = dim( Col(M))

Q: If sin(x) = (in Quadrant 2), find 9 10 Give exact answers. sin(2x) = cos(2x) = = tan(2x) Submit…

A: Given sinx=910   To Find: sin2x,  cos2x,  tan2x

Q: Use the method of variation of parameters to determine the general solution of the given…

A: Using the method of variation of parameters we have to determine the general solution of the given…

Q: Use laplace transformation to solve the following differential euqations. Show all the steps…

A: Some of the properties of Laplace transformation…

Q: I have $30,000 to put into an account. Explain which account would be better for me to choose.…

A: The principal amount is $30000. The details of accounts A, B are given. A: 2% interest, compounded…

Q: Use the procedures illustrated in this example or in this video to balance the given chemical…

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Q: Find the general solution of the differential equation. y(4) y = 15t + cost. NOTE: Use c₁, c₂, C3,…

A: We Solve given Differential Equation.

Q: ght adults were asked how many different jobs they have had. Their answers are shown in the line…

A: 0

Q: Mahmud, Katya, and Safiya are dividing an estate consisting of a house and a car, using the Method…

A: METHOD OF SEALED BIDS : ( Upto initial allocation step) 1. Each party in secret, bids a dollar…

Q: Jillean contributes a set percentage of her gross pay towards a 401k account and will have a total…

A: The percent increase is 22%.