a) Draw a graph of f(t) and determine ∫_(-∞)^∞▒|f(t)| dt  b) Write the Fourier integral representation.  c) Determine what this representation converges to.

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A: Given- The equation 80x'' + 1000x = 2500cosπvt6 To find- FInd the general solution to this non-homog...

Q: Evaluate the inverse Laplace transforms of the following: 2 1 4 1. s+9 S- 5 20 2. E 1 [s+3 5s –3

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Q: Evaluate L{e* (3-t +t)}. 6 1 А. (s – 2)* (s–2) (s-2)* 6. 2 1 (s+2)* (s+2) (s+2)° 4 3 1 С. (s – 2) ' ...

A: To solve given question we use the first shifting theorem and solve.

Q: 2. Determine if the following series converge or diverge. Explain your answer. ( a) Σ-() n%31 ( b) Σ...

A: To check the nature of the given series.

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A: (1) Examine the given table ∀xP(x,4),  P 1 2 3 4 1 F F T F 2 F F T F 3 T T T F 4 T F T F

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Q: Evaluate the inverse Laplace transforms of the following: 2 1 4 1. s+9 S- 5 20 2. E 1 [s+3 5s –3

A: To solve the given questions we use the inverse Laplace transform property.

Q: Integrate the following: 4x 3. dx X + 1

A: We have to integrate the given problem.

Q: Kindly give proper explanation how you got the answer Boy has two bags of plums. Each bag has 10 plu...

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Q: 8. Determine the stability of i = 1 01 x and sketch its phase portrait. 2

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: Solve the following Integral Equation: -t + x(0) = 3 %3D

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Q: Exercise 10. Is the set of all finite sequences of 0s and ls countable? Justify your answer.

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Q: The alternating series E-1 (-1)" 2n3+3 is diverge True False n! x" The interval of convergence for t...

A: Since you post more than three subparts questions as per our guideline we can solve only first three...

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A: By Cauchy integral theorem, if a function is analytic with in and on the boundary of a simple closed...

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Q: (9.6) R 4. Let R be the region in the first quadrant bounded by the graph of y = 2, the horizontal l...

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Q: . If x, y E R with x < y, prove that x < tx + (1 – t)y < y for all t e (0,1).

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

Q: Let ?: Hwi win the first round and ?: Hwi win the tournament. a. Write “Hwi wins the tournament onl...

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Q: Evaluate L{e" (1 +r° +r)}. 6. 1 A. (s –2) (s-2) (s-2) 6. 1 B. (s+2)* (s+2) (s+2)° 3. 1 6. C. (s-2) (...

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Q: If f is continuous for t > 0, the Laplace transform of ƒ is the function F defined by: F(s) := | f(t...

A: The solution is given as  

Q: - vx ( P(x) A Q(x)) = 3x (-P(x) V ¬ Q(x)) True O False

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

Q: Is the equation y-4x²=36 represents y as a function of x?

A: yes the given equation represents y as a function of x given that y - 4x2=36 y = 36+4x2=4(x2+9)

Q: find the surface area of a the cap that is cut from the sphere x 2 + y 2 + z 2 = 3 by the cone z =s...

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Q: - 3s2 + 21s 42 Find the inverse Laplace transform of F(s) : (s – 3)3 -

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Q: (a) Determine if the following sets of functions are linearly dependent or linearly independent on R...

A: We are entitled to solve only one question at a time. Please post other questions separately. To fin...

Q: Let f(z)=ex^2 = U(x,y)+iV(x,y) Verify Ux=Vy

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Q: Solve the following Integral Equation: -t + x(0) = 3

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Q: . Given 2 vectors X and Y: X = 4i – 2j Y = -3i + 2j – 6k Find: X x Y and Y.X

A: Please find attachment for the details solution 

Q: Simplify each by combining like terms: A) 5x +3 + 4x - 2 = B) 5x2 + 6x + 2+4x2 - 2x + 1= C) Advanced...

A: Please find attachment for the details solution

Q: Use the grouping method to simplify the expression (x + 3)(x- 4). Distribute the factor, to the lecr...

A: Given expression is x+3x−4. Distribute the first factor x+3 to the second factor x-4. So both terms ...

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A: Truth Table for Negation Logical negation is a unary operation which typically returns the opposite ...

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A: The figure as,

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A: Differentiation of a real-valued function gives the idea at which rate the function is changing with...

Q: 7. Solve the equation. log2(x + 2) – log2(x + 4) = log2(x- 3)

A: To solve log2 (x + 2) - log2 (x + 4) = log2 (x - 3) We use the following property of logarithm loga(...

Q: 4x -1 dx. b) x(x² + x- 6) J

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Q: Consider the following sets U= {1,2,3,4,5,6,7,8}, A = {2,4,6}, and B= {1,2,4,6}. What is (B' ∪ A' )'...

A: The given problem is to find the set relation from given sets.

Q: a) Define two types of improper integral and its definitions. b) Solve the improper integral dx. (x²...

A: We know integrals are improper when either the lower limit of integration is infinite and the upper ...

Q: Express the function below in rectangular form, (-1+ i)-1+i

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Q: 2. Determine if the following series converge or diverge. Explain your answer. ( a) Σ ( n%31 (b) E=2...

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Q: 6. A small town's growth follows the model P(t)=- 16 ,where p is the population in 1+1.7e021 thousan...

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Q: What is the plot of 2/3

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Q: 2. Find the volume of the solid obtained whe the region bounded by the curve y = sin(x), 0 < x < ™, ...

A: For the given information

Q: COMPLETE SOLUTION PLS 4 DECIMAL PLACES

A: