Calculate the integral of - e2x -dx. 3x +8

Q: Define a sequence {a„} as follows: Let a, = 1, and define (an)² + (2n + 3)a,n + (4n + 3) An+1 an + 2...

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Q: at are the coordinates of R' for the dilation D(0.5, P)(PQR

A: Given,  The graph of PQRS is given. The coordinates of R are to be found by dilation.

Q: Format: [*10^] . Indicate the sign only when it is negative. • Consider only 5 decimals for the res...

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Q: 24 12 17 16 14 38 13 C How many elements are in (AUB)n O 75 39 14 10

A: We have to find the number of elements in A∪B∩C from the given Venn diagram.

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Q: 1. Let A = {1,2, 3, 4, 5} and B = {1,2,3, 4, 5, 6}. Give a set T C A B so that following three const...

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Q: A mouse that lives in a hotel wants to travel from the ground floor entrance at location (0,0,0) to ...

A: The complete solutions are given below

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A: Trapezoidal rule

Q: by, Z= 9 x1- X1+ X2s

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Q: 36- 32+ 28 24 20 16- 12 4 -4 -3 -2 For the above function f( x - 7.0.65*, estimate f (x) using h = 0...

A: Derivative at point 

Q: Show that if T : Rº → Rº has 6 distinct eigenvalues and S has the same eigenvectors as T, then ST = ...

A: The solution of given problem is followed by

Q: 2.4. Compute and plot y[n] = x[n] * h[n], where %23 1, 3 s n < 8 0, otherwise x[n] = 1. 4 s ns 15 h[...

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Q: 17. Using Runge-Kutta method of fourth order, solve dy y2-x2 dx y2 + x2 | with y(0) = 1, at x = 02 a...

A: Numerical methods: Ruge-kutta method

Q: For questions 5-10, type the letters of the correet answer 5. EF represents a A. plane B. ray C. lin...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: n by using the slope and the y-intercept. - - 3 7 y = 8. 10

A: Given, y=78x-3 Slope and y-intercept are needed to graph this equation.    

Q: please send complete handwritten for Q1

A: Given- Consider the following set of premises: If it is not too cold and if it doesn't rain, then I...

Q: :- -b where a and b are positive real numbers, The matrix C %3D a V3 2 and C2. V3 2 m+n TC can be wr...

A: The given problem is to find the value of cos(π/12) that can be written in the given form using the ...

Q: 1. If P(A) = - determine the odds against event.1 occurring. %3D

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Q: (b) Find the solution for cos(x)- (1+x?) – 2xy = with the conditions 1+x2 y(1) = -1, y(2) = 2 and h ...

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Q: In Exercises 51-56, find the lim that the limit does not exist. x'- xy? 51. f(x. y) =

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: Exercise 1. Prove that for sets A, B,C we have C \(AUB) = (C\ A) N (C \ B).

A: We have to show that for sets A, B, C   C ∖(A∪B)=(C∖A)∩(C∖B).

Q: How many ways are there to pick 9 balls from large piles of (identical) red, white and blue balls, p...

A: To determine the number of ways to pick 9 balls from large piles of red, white, and blue balls, plus...

Q: ~[(a→~b)+c] v [(~a→b)<→~c]

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Q: ow that if T : Rº → R° has 6 distinct eigenvalues and S has the same eigenvectors as T, then ST = TS

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Q: 4. Prove or Disprove Prove or disprove that for all real numbers a and b, if a² = b² then a = b.

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Q: Question 43 The integral expression for the area of the region bounded by the curves y = 20 – 322, a...

A: We have to find the area.

Q: Q3 (a) A polluted pool has an initial concentration of bacteria of 10* part/m³, while the acceptable...

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Q: Solve the system 4.x1 -5x2 +4x3 +4x4 +x2 +3r3 +2x4 3x1 -4x2 +7x3 +6x4 = 2x1 -2r2 -6x3 -4x4 = 3 5 8 +...

A: Given system of equation is 4x1−5x2+4x3+4x4=3−x1+x2+3x3+2x4=53x1−4x2+7x3+6x4=82x1−2x2−6x3−4x4=−10......

Q: Describe all solutions to: (a) 2 10 -2 1 -9 4 1 21 9. (b) 2 10 -2 1 -9 · x = 4 1 21 3 (c) 0 0 3 3 3 ...

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Q: B. Determine whether each statement is correct by use of inductive reasoning. Write CORRECT if the c...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub-...

Q: A=| 0 4 0 0 (a) Find elementary matrices E3E (b) Express A as a product of elem 3 websites.

A: INTRODUCTION: An nxn matrix is referred to as an elementary matrix if it can be obtained from the nx...

Q: Consider the following matrix A= 2 3 4 b) Find the transformatón to preach a dhagonal form.

A: The given problem is to find the diagonalization of given following matrix.

Q: Let 2 = {1, 2, 3, ...}. Define A = {ACQ: A or A°consists of at most finite number of elements}. Is A...

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Q: onsider the Following matrix A= 2 3 4 E) Find the Pollowing Funchon f A. At Sin (At)

A: We can solve this using diagonalization

Q: Let p E Z Z be a prime number such that p > 2. Let n = 2p. Find all positive %3D divisors of n. NO J...

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Q: 5 The volume of the solid region T = (x, y, 2) E R° : 1< z² + y° < 9, 2 < z <3V² + y? is (A) 727 (B)...

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Q: (a) Give an example of a 3 x 3 matrix A with C(A) = R³. (b) Give an example of a 3 × 3 matrix A with...

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Q: Consider the ordinary differential equation y'' + 4y'+2y=0 such that a solution is of the form y and...

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Q: The expression for the shaded region is: OAn BUC O (AUC)N B O A'n B'nC OANBNC

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Q: Question 5 The set of pointwise convergence of the power series 1 -1)". 3n +2 (- 4)n+2 n=1 is (A) {4...

A: We have to find the set of convergence of the Power series.

Q: 10. 2r"(t) – 2r'(1) – 4x(1) = 2e"

A: To solve the given differential equation. 

Q: Q2/(a): Evaluate the double integral 3xy2 dA over the rectangle R = ((x, y): -3 SxS 2, 0 sys1, dA = ...

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Q: 417+ = 922 Part Part Whole

A: 417 + [x] =922

Q: Consider the continuous-time dynamical system given by the ODE & = -x. (a) Determine the explicit so...

A: Given the ODE is x˙=-x

Q: 9. Assume that the stated inverses exist, prove (A+ B)-1 = A-'(A-1+B-!)-'B-1.

A: Here we prove a equivalent statement. 

Q: Q3/ Determine whether the following functions are harmonic or not. 1. 3xy + 5xy - 2y 2. 3x²y + 2x - ...

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Q: 5 The flux of the curl of the vector field F (1. y, z) = (y², 7, z) through the surface E= {(z, y, z...

A: To find- The flux of the curl of the vector field Fx, y, z = y2, x, z through the surface ∑ = x, y, ...

Q: o matrices A and B one has that Null(B) is contained in Null(A · B).

A: Given, for two matrices A and B, to show that Null (B) contained in Null(A·B).

Q: Consider the Following matrise [: A= 2 3 4 b) Find the transformatón to peach a diagonal form.

A: Fist of all we will show that A is diagonalisable , then we will find the required transformation 

Q: solve question (d) with explanation asap

A: An exponential equation is represented in the form of y=aebx. A graphing display calculator can be u...