) Let A and B be subsets of a universal set U, show that (An B)U (A n B) = A AC B if and only if B C Ā.

Q: 2s + 3 Find the Inverse Laplace Transform of (s+4)3 A e"(2cos2t +- sin2t) 2 (cos2t+ -sin21) (2cos21+…

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Q: Consider the following IVP: y' = et; y(0) = 2 Find the general solution. y(t) = 1 – e¯ 1- A В y(t) =…

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Q: 2. Verify the final value theorem for the function 3t²e¬4t and determine its steady state value.

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: Find the area of the shaded region. r = Vcos 20 r = 6 cos 0 NOTE: Enter the exact answer. A =

A:

Q: 2. Rate of calorie consumption. The table below shows the number of calories used per minute as a…

A: Given the table Activity  100lb 120lb 150lb 170lb 200lb 220lb walking 2.7 3.2 4 4.6 5.4 5.9…

Q: 1 Find the Inverse Laplace Transform of s2+2s+ 10 (A -e "cos3t 3 1 B -e -'sin9t 3 3r -e"cost D -e…

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Q: Consider the following IVP: y' +y = e2t ; y(0) = 0 Find the general solution. 1 -211 A у () 3 21 B)…

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Q: Se-2t if 0 3,

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Q: Solve y" – 4y' + 6y = 8(t – 3), y(0) = 0, y'(0) = 0. -

A: Use Laplace table.

Q: The Taylor series for a function f about x=2 is given by >-0 (-1)". п Зп+1 (x – 2)" which converges…

A: We have to find the error bound of alternating series.

Q: Find the Laplace Transform of e 2 cos3t + 5e 2 sin3t - s+2 + s2+9 15 A. g²+9 (s+2) + 15 (s2+4s) + 13…

A: To find the laplace transform of given function first we will use the linearity property of laplace…

Q: 1. Given the series, E=o () (2x – 1)", find the radius and interval of convergence

A: Given : The given series is   ∑n=0∞an = ∑n=0∞23n2x-1n To find : We have to find the radius and…

Q: chuk thisynncdrs and gaph the if O-0,7 Curve r-4a Coso

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Q: b) Determine whether the matrices 2 [2 3 ,and N = -2 21, M = -3 1. - 2 1 -2 1 are linearly…

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Q: sed betv la y = x² 2

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Q: Use the Venn diagram to determine n(U) - n(B). A В three four seven 16 06 n(U) - n(B) =

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Q: Let A and B be subsets of a universal set U, show that An B) U (A n B) = A

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Q: Question 8 (2 marks) The graph of (=) + (2) + (-) = 1 is a plane for any nonzero numbers a, b, and…

A: Solution

Q: Use the Mean Value Theorem to establish e > 1+ x, x > 0. Answer:

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Q: From an initial population of 2500 , the number of Encantados living in the kingdom of Lireo rose to…

A: Given, Initial population,P0= 2500Final population, P = 62,571Number of years, n =46Birth Rate =…

Q: Solve the given system of linear equations using the Elimination Method. 4.)     2x1 + 7x2 + 15x3 =…

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Q: Imagine you are in a city that has a grid of streets with perfectly square blocks and that the only…

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Q: 4. Expand the following functions into Taylor series at the point indicated and find their radius of…

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Q: Question 5 Find the solution. (D2 + D- 6)y = 0 y = c,e* +c,e2 3x (A) y = c,e* +c,e-2* B – 3x -2r y =…

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Q: 16. What is the particular solution of the linear differential equation y' +y = sec e", whose…

A: The solution is given as

Q: .Use the Monotone Convergence Theorem to show that the (2n)! {a)" is convergent.

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Q: let ( X Td)be Toplog9 me trics spaces the n EVery singteon set is closed set

A: Given that X,Td is a Topology Metric spaces.

Q: Find the Laplace Transform of f(t) = cos? 3t (A F (s) 2 2+ 36 s 1 B F(s) s2+ 36 6 (c) F(s) = - s2+…

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Q: Find the solution. y" - 2y'- 2y = 0

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Q: Part I. Cartesian Product and Relation Give the Relation: 1. Find a relation R such that >l if A =…

A: 1) The Relation R such that x+y2>1 is  R={(0,3),(1,2),(1,3),(2,1),(2,2),(2,3)} 2) the Relation R…

Q: 4. Use a comparison test to determine whether the series converges or diverges. (a) E 1+ In n In(e"…

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Q: Use a Venn diagram to determine if the pair of sets are equal. S. S'nT and (SUT')' II III IV

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

Q: When the centered difference approach of f (x) = sin r - a+1 is used to estimate the first…

A: When the centered difference approach of f(x) = sinx-x³+1 is used to estimate the first derivative…

Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. -3x y = (c,+c,x)e-*+c;e-+e*(c,cosx+c gsinxr) -2x A…

A: Given differential equation is (D5-2D3-2D2-3D-2)y = 0

Q: Tabulate the differences of Euclidean, elliptic, and hyperbolic geometry according to the four…

A: Given: To find the difference between Euclidean Geometry, Elliptical Geometry, and hyperbolic…

Q: Prove the following using the rule of replacement and rule of inference. Let C = set of all students…

A: This is a problem of Logic.

Q: Let A be a subset of a topological space X. Show that bd(A) = Ø iff A is open and closed in X. %3D

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Q: Find the solution. (D3 +7D2 + 19D + 13)y =0; when x =0, y=0, y' =2, y"=-12 (A y = e*cosx B y =…

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Q: Find the solution. y'-y = -xy1/2 -ху

A: This is Bernoulli type differential equation.

Q: 40 The above graph is planar OTrue OFalse

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Q: Q3-Find the area outside the cardioid r=2+2sind and inside the circle r-6sind Answer key Area-circe…

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Q: I. What is the use of Fourier Series? II. Why do we take Fourier Transform?

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Q: Question 2 Consider the following IVP: x" + 4x = t+4; x(0) = 1, x'(0) = 0 Find the general solution.

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Q: Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. A y(t) e…

A: Given differential equation is y'' - 3y' + 2y = e3t ; y(0) = 0, y'(0) = 0

Q: APPROXIM ATE CRAPH FX) use FouR THE Ant A OF THE RECION DornOtO 1By THE AND THE X-A XI7 E sIN X TOR…

A: This is the problem of Numerical Analysis.

Q: 16. Prove that an integer (a,-1an-2 · . . ao)10 is divisible by 11 if and only if ao + a2 + a4 + . .…

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Q: Consider the following IVP: y +y = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) =…

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Q: 10+ j5+3Z40° +10Z30° - 3+ j4

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Q: 1. Are the following matrices diagonalisable? Explain your answer. 2 0 50 1] a) A =-2 3 -1 -2 0 3 c)…

A: A matrix is diagonalizable if and only if for each eigenvalue the dimension of the eigenspace is…

Q: Find the solution. y' = y - xy3 e-2x A e=x?(y²+c) (A) (в B e2 =x²(y²+c) © e2» =y²(x²+c) e2x…

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