1) For the signal below find the exponential Fourier series and sketch the corresponding spectra. 1 474 10

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A: We have to find the limit of the given function.

Q: (3) Find the equilibrium solutions for the autonomous ODE y = y(y-30)(y-10)2, ble, semi-stable or…

A: Given autonomous problem is the following :Then equilibrium points obtained from Now when .when…

Q: d Consider the equation i(t) + x² [′ i(x) dx = e(t), t≥ 0, with the initial condition i(0) = 0. II.…

A: Given Information:Initial condition: To find:The value of where Concept used:Differentiation and…

Q: 1. Write the rational number, 56.004545... (repeating decimal) in the form a/b where a, b are two…

A: The sum of infinite geometric series 1+r+r2+⋯=11−r.

Q: 1.3 Define the general form of a Laplace transform. Use this definition to solve the ODE: d³y d²y…

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Q: Use the Extended Euclidean Algorithm to find d = ged(85, 210) and write d as an integer combination…

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Q: 12. x²y" - xy' + 2y =0; y1 = x cos(lnx), y2 = x sin(lnx)

A: The differential equation is as follows:..To Find:Verify that  are the solution of the given…

Q: Needs Complete solution with 100% accuracy.

A: Given that

Q: Q(1) Show that the closed unit disc, D={(x,y) E R²: x² + y² ≤ 1} is not a subspace of R²

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Q: Find the average rate of change of the function over the given intervals. 3 f(x) = 5x³ +5; a) [4,6],…

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Q: 2.5) Find the set of all solutions in & of the following inhomogen caus linear systems Ax=b, where A…

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Q: Show that if |z1| ≤ 2 and |z2| ≤ 3, then one has |(3+4i) 2₁ (1 + i)21 22 ≤ 10+6√2 21 -

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Q: For the following matrix 1 0 a. Eigenvalues b. Eigenvectors c. Modal matrix d. Spectral matrix -1 2…

A: As per bartleby guidelines we do first three subparts and rest part can be reposted separately.

Q: Find the truncation error with 8 rectangles. Use 8 rectangles of equal width to approximate the area…

A: The function is  over the interval .To Find:Truncation error with 8 rectangles."As per the policy we…

Q: Let S1, S2, ..., Sn be prime ideals of a ring Rand let S be ideal of Rwhich is not wholly contained…

A: Let S1 ,S2  ,S3....Sn be prime ideals of a ring R and let S be ideal of R which is not wholly…

Q: K An equation of the terminal side of an angle 0 in standard position is given with a restriction on…

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Q: 1. Evaluate fc (dz; where C is a circle |z + i] = 1 2. Evaluate fc (2) dz; where C is given by: (a)…

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Q: A box contains some red, yellow and blue candies, 40% of a box of candies are red and the rest of…

A: Let the number of red candies = rthe number of yellow candies = ythe number of blue candies = btotal…

Q: Jules reads that 1 pint is equivalent to 0.473 liters.  He asks his teacher how many liters there…

A: When dealing with decimal numbers, rounding is an important concept that everyone should master.…

Q: f(x) with an, bn defined by 0.5 0 -0.5 -1 -6 -4 -2 an = The standard definition of the Fourier…

A: Given information:,for all .To find:The Fourier representation of the function .Concept used:Fourier…

Q: Exercise 1.6. Give two situations where "zero" and "nothing" mean the same thing, and two situations…

A: Given words:"Zero" and "Nothing"To explain the terms:a) through two situations with same meaning.b)…

Q: 1. Find the equation of the tangent line to the graph y=sin² x=1 TX at the point with

A:

Q: Consider the parametric equations below. x=t²-5, y =5-4t, -3 ≤ t ≤4 (a) Sketch the curve by using…

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Q: An oval track is made by erecting semicircles on each end of a 52 m by 104 m rectangle. Find the…

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Q: If X=4.715, find 3-digit rounding and chopping for X, then find the relatives error for both?

A: The given number is X=4.715Which has 3 digits after decimal.So, the 3-digit rounding off for X is…

Q: For the function: f(x) = 4x - 6, f(x)-f(a) x-a T

A: The given function .The aim is to find the expression .

Q: A chemical manufacturer wants to lease a fleet of 25 railroad tank cars with a combined carrying…

A:

Q: C.19. Write the function shown in the figure using the unit step function. Y 8 4 + O -4 -8 WAT ,2cos…

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Q: Which of the following is the nº Taylor polynomial Tn(x) for f(x)=In(1-x) based at b=0? Tn(x) = ax…

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Q: A bakery sells pies and cakes. Each pie costs $2 to produce, requires a half an hour of labor, and…

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Q: 272 Sketch sin for n = 1 and n = 2 over the intervals 0 to a andand. Using even and odd arguments,…

A: Given Information:  and .To sketch:12) The graph of , when i) when ii) when To prove:12) The…

Q: Question. C = (3, 7] ∪ (9, ∞), and D = [4, 10) ∪ {21, 33, 44, 1001}. 1. C ∪ D 2. C ∩ D 3. R (real…

A: The given sets,The aim is to find the sets  and .

Q: Do the columns of A span R4? Does the equation Ax=b have a solution for each b in R4? A = 2 4 0 0 -6…

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Q: Determine if b is a linear combination of a₁, a2, and a3. 5 -4, b: 44 11 1 0 -3a₂5 1 0 4 a 2 -3 12

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Q: Assume that the following table was obtained from the solution of a differential equation 0 1 2 3 4…

A: The given table is drawn as follows.x012345y0.00.3680.5410.4480.2930.168We need to find linear…

Q: Show Hande yap(r) in parametric form Y=P(x) yu) = tex, k(t)=e² is a soln to xy = 1-xy.

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Q: Find the general solution of the differential equation 16y (³) + 24y" +9y' = 0 y(x)=

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Q: Assigoment find the derivative of y=(X²+1)/(x+3) Solution

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Q: Consider the surface z(x, y) = x²y = 3 sn (x√y), find the equation of the tangent plane to the…

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Q: Is the statement x²y-¹ € {x¹n-²y-n : n≤N} 4n-2, true or false? Justify your answer.

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Q: For what value of a is the following function continuous at every x? x²-6, x<3 2ax, x23 f(x) =

A: A function f(x) continuous at a point 'c' , if limx→c−f(x)=f(c)=limx→c+f(x).

Q: Compute the following, using the Egyptian method of multiplication (You may write numbers using…

A: .

Q: At what points is the following function continuous? f(x) = x²-x-2 X-2 3, x #2 x = 2

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Q: Identify the numeral as Babylonian, Mayan, or Greek. Give the equivalent in the Hindu-Arabic system.…

A: I have explained everything with in the solution .please go through that

Q: Let G = U(32) and H = {1, 15}. The group GIH is isomorphic to one of Zg, Z, O Z, or Z, O Z, O Z,.…

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Q: 11. a. Is 3 € {1,2,3}? d. Is {3} € {1,{2}, {3}}? e. Is 1 € {1}? h. Is {2} € {{1},2}? į. Is {1} =…

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Q: 6. Compute the m-adic representation of 526 for m = 2,3,7, and 9.

A: We have to compute the m-adic representation of 526 for m = 2, 3, 7 and 9.

Q: Site A links to B and D. Site B links to A, C, and D Site C links only to site B. Site D links to A,…

A: Part (a) is correct:

Q: 7. If y = y(x) is the solution of the initial-value problem_x²y + xy = 2x cos x, y(t) = 0, then_lim…

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Q: 12. Find SpF. dr, where P is the top half of the unit circle (parametrized in the usual way) and…

A: P is the top half of the unit circle.To find: