Prove that: (A+B)•(B+C)x(C+A) =2A•BxC

Q: Example 10.15. Apply Runge-Kutta fourth order method to find an approximate value of y when x = 0.2…

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Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A: Solution. :

Q: Given that A and B is a group. Find out if : A→B is a homomorphism. If it is a homomorphism, also…

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Q: Use Simpson's Rule to evaluate the following. n = 10 3 1 dx -3 1+x²

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

Q: @ For the following power series expansion, give the anter and find the redive of convergence Test .…

A: Follow the steps.

Q: Find the norm of a and the unit vector u in the direction of if 1 3 x = ||*|| = 13 = = 81 -4 Y ♡

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Q: Find the angle a between the vectors α= | and

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Q: b 8 b) Explain (in words) how you could find the number of paths between vertex a and vertex e which…

A: As per the question we are given a undirected graph with seven vertices a, b, c, d, e, f, g And we…

Q: 4. Given these data X 1 2 3 5 f(x) 3 19 99 Calculate f(4) using Lagrange polynomials of order 3. 7…

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Q: Example 10.26. Using Picard's method, find approximate values of y and z corre- sponding to x = 0.1,…

A: Problem is solved using picard's method.

Q: 26 p44 dxdy xy A

A: FIND THE integral value USING SIMPSON RULE

Q: 1.1 2. t 3. e3t 4. t sin 3t 5. et sin 3t

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Q: Given that A and B is a group. Find out if : A→B is a homomorphism. If it is a homomorphism, also…

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Q: ve y=-x³. 16 Find the area bounded by the curve O 8 square units O 16 square units AA sauare unite 2…

A: The area bounded by the curves f(x) and g(x) is given by ∫abf(x)-g(x)dx y=116x3-34x2+3xy=x equating…

Q: Example 10.10. Using modified Euler's method, find an approximate value of y when x = 0.3, given…

A: We can solve this using given information

Q: Part A: “Infeasibility means that no solution to the LPP satisfies all the constraints, including…

A: Infeasibility exists when the given LPP has no solution. This means there is no value that satisfies…

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)² = 2y, the…

A: The shaded region is our required area

Q: Use Cartesian coordinates to evaluate JJJ xy² z dv D where D is the tetrahedron in the first octant…

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Q: | Example 10.30. Using Runge-Kutta method, solve y" = xy2-y² for x = 0.2 correct to 4 decimal…

A: As per the question we are given the following second order differential equation : y'' = xy'2 - y2…

Q: VII. Let S be the surface with equation (z − 4)² = 4x² + 4y². 1. Find an equation of each trace of S…

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Q: Find the inverse laplace transform

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Q: Evaluate: (7-j3)ln(cosh(2+j5))

A: Solution : Formulas, coshx=e-x+ex2 lna/b=ln(a)-ln(b) ln(a×b)=ln(a)+ln(b) To solve,…

Q: C: 2: Find the first 4 terms of the Maclaurin series for : In(1+x)

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Q: Example 9.10. Solve y2 - 4y = n² + n - 1.

A: Please find step by step answer below:

Q: 1. Which of the following has an asymptote and which has a hole? Why? (Hint: Use desmos and look at…

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Q: sin Đi = i sinh 0

A: The given problem is prove the following complex trigonometric identity using euler identities. The…

Q: Which first order DE is variable separable? dy dx =y²cosx-y²sinx = 1 + xy =ycosx-xsiny =(x-y)² dy dx…

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Q: 1. Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False…

A: We have given a statement ,  P(x) : x = x2 Here , domain consists of the integers , that is x ∈ ℤ.…

Q: 2. Determining whether odd or even function, state the period. a.) b.) .

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Q: Example 9.16. A light elastic string stretched between two fixed nails 120 cm apart, carries 11…

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Q: Convert + [²√¹²5² √²¹²²²³²²³² (x² + y² + 2² )dzdxdy into an (x² + y² + ²)dzdxdy √18-1²-² coordinate…

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Q: Use Simpson's Rule to evaluate the following. n = ·3 1 dx 1 + x² 2

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Q: y dy Find using the substitution +5= √√y+2. √x+2 A²/(√y+2-5)(-5√/y+2+y+21) +C 3 ® ²/(√y+2-5)…

A: ∫ydyy+2 Substitute, u+5=y+2 Then , du=12y+2dy ⇒2y+2 du =dy ⇒2u+5 du =dy and y=u+52-2=u2+10u+23

Q: dy Example 10.24. If dx mula by calculating y(1), y(2) and y(3) using Euler's modified formula. = 2e…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: Find the 4-point discrete Fourier transform (DFT) of the sequence x(n) = {1, 5, 3, 1}.

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Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

A: Solution:

Q: 1. N 2. 3. 4. X # X XX D E B :: C O ماده با - C ? D E ? E ? ?

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

Q: Pandas are an endangered species. Currently (2021) their world-wide population is 3,500. Their…

A: As per company guidelines i am solving first three sub-parts. The exponential decrease is defined by…

Q: d plans to increase output eks 1; 5; 10; 15. Estimate t

A: Here company A increase its production by 200 each week and company B increase its production by…

Q: 1. Find the Fourier series representation of f(x) = { x ² 0, -π< x≤ 0 0<x< T X, **Box your answers…

A: According to guidelines we can solve only one problem.

Q: 3cos(6x)

A: 3cos(6x) we know formula cos2A=1-2sin2A and Sin(3A)=3SinA-4Sin3A

Q: Consider the equation du - 2y = 0, y(0) = a. Let I = (-1, 1). Which statement below is NOT true? (A)…

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Q: Determine the convolution of the following signals using z-transform: 1,(0)-(-)-(4-1). 20)-[1-()*1.0…

A: As per the question we are given two discrete signals x1(n) , x2(n) And we have to find their…

Q: 6. 7. 5 (s+3)² 3 s2-32

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Q: Using the power series method about x = 0, the recurrence relation of the differential equation: y"…

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Q: The rate of change of the height h(t) of water in a cylindrical tank with a hole in the bottom is…

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Q: 3:Use Gamma & Beta properties to evaluate : 2x¹e¹-* dx

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Q: 1. Let 1, y € R" be given. (a) If ||z|| = ||y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1…

A: \documentclass{article}\usepackage{amsmath,amssymb}\begin{document} (a) Norm x=Norm y=1\\ Let angle…

Q: Solve the following differential equations: 1. () + (x −2x*)y'+xx=0

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