II. Evaluate the following integrals 2x 2. S -dx 5+2x+x

Q: What is the y-coordinate of the centroid of the plane region bounded by * y = x^2 - 4 and y = 2x -…

A: We have to find the y-coordinate of the centroid of the plane region bounded by y = 2x - x2 and y =…

Q: 24 4 x 2 30 Û 6 6. 9. 1 X *5 9 5 3 3 "0"

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

Q: of the following is a subgroup of (R+, *) where a*b = (ab)/2? A. (Q, *) B. (Z.*) C. (Q+, *) D. (Q-,…

A: Given group G = ( R+ , *)  where ,                       a*b = ab2 (.)  Group :  Let G be a non -…

Q: Set up the double integral that will find the volume of a solid bounded by z = 1- y²x² and the xy-…

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Q: Solve the non-homogeneous linear recurrence relation. (note: the non-homogeneous part is a constant…

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Q: Evaluate J by means of Simpson's rule with n = 2m=10 and h = 0.10 = [*exp(-x²) dx Answer in 4…

A: f(x)=exp(-x2)h=b-an=1-010=0.10 table for x and y values x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1…

Q: 1. In solving the beam equation, you determined that the general solution is Nếu đi y 9₁x³ + tốt…

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

Q: с рое избиј using Fourier series (a) Derive and solve the BVP, T, 4)= (bi Solve the other DE and…

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Q: Find the volume of the wedge cut from the cylinder x 2 +y 2 =9x 2+y 2 =9 by the planes z=0and z=y…

A: Solution :

Q: for 2x" + 4x' + 5x = 10e¹ is -t

A: Given as, 2x''+4x'+5x=10e-t   As per guidelines, allowed to answer first question and post the…

Q: would you solve this?

A: Given,       f(x)=x2-x-20, and g(x)=x2-8x+15

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Q: Solve for x, sin²(x) + cos²(x)-1=0

A: Solution :

Q: Use the definition of set operations to prove that for any set A, A- A = Ø . A + A = Ø

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Q: ources amongst thems

A: Nash equilibrium: It refers to a theory that helps in deciding the game which helps the players to…

Q: 2. Using power series, evaluate lim x →0 sin x-x 3 x

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Q: 12. Which of the following is submonoid of (Q, *) where a*b = ab? A. (Z, *) C. ({0}, *) B. (R+, *)…

A: We have to determine which of the following is a submonoid of (Q,*) where a*b=ab. (Z,*) (R+,*)…

Q: For item 4, illustrate the problem, the triangle diagram, and solve for the problems.  4. A Three…

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Q: Using the Ring or Washer method, what will be the equation of the volume of the solid formed when…

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Q: Find the Inverse Laplace transform of F(s) = 8Bs 7C (s + 3) (s - 4) (As − 1)

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Q: Evaluate J by means of Simpon's rule using n = 2m = 10 and h = 0.05. Reminder that the integral…

A: Answer is = 0.7468

Q: 23. 2x² + y = 0 and y = 8x

A: As per the policy we are allowed to answer only one question at a time. So, I am answering the first…

Q: 3. Obtain the Maclaurin series for cosh x using the fact that cosh x = ²/²/² ( e ² + e^²³) е

A: We have to find Maclaurin series for cosh x. Given that, cosh x=12ex+e-x

Q: olve the following differential equation y" + 3y' + 3y = et sint, y(0) = 0, y'(0) = 1

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Q: Follow the instructions below: a. Use Laplace transforms to solve the following Differential…

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Q: 3. Which of the following operations is BOTH associative and commutative on positive integers C. a*b…

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Q: 4. Find the measure of the angle between u = 6i - 3j and v = 2i + j to the nearest tenth of a…

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Q: An ordered field is a field F, and a subset PCF, called a positive set, such that (a) If x, y EP,…

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Q: (b) Consider the 2nd order linear differential equation xy" + y = 0. (i) Given that y₁ = ln x solves…

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Q: Be V a unitary space and a, b belong to 7 its unit vectors to which scalar product (a, b) = 1/3 Then…

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Q: contrapositive proof. Include explanation.

A: Given that if n is an even, then 7n + 4 is an even integer.

Q: For items 53-55. Refer to the graph below: B E F H 53. Using Kruskal's Algorithm, the last edge to…

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Q: Consider the function f(x)=2 sin(π 2 (x−3)) +6  State the amplitude A, period P, and midline. State…

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Q: Evaluate J by means of Simpson's rule with n = 2m =20 and h =0.05 J= exp(-x²) dx Answer in 4 decimal…

A: f(x)=exp(-x2)h=b-an=1-020=0.05 table for x and y value: x 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4…

Q: What is the center of gravity of the solid formed when the plane region bounded by y=x, y = 2x, and…

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Q: 37. Consider Graph A and B are isomorphic. If vertex E of Graph A corresponds to vertex 2 in Graph…

A: The degree of vertex D in graph A is  3  and it connected with vertex A, B, C. The degree of vertex…

Q: 5. The state-space representation for 2x" + 4x + 5x = 10e" is D = +² го 98

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Q: Using variation of parameters, find the particular solution of the differential equation x²y" - xy +…

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Q: Find

A: We find surface area of given region.

Q: Evaluate J by means of Simpson's rule with n = 2m = 20 and h = 0.05: 1` = exp(-x²)dx Note that this…

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Q: Solve the system of differential equations X = = 14x - 6y |y' = 40x 40x17y x(0) = 0, y(0) = −1 x (t)…

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Q: 43.Given that Tree A is bipartite, which of the following gives the grouping of the vertices of Tree…

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Q: Obtain the power series solution of the differential equation y" (1+x)y=0 about the ordinary point x…

A: Solution :

Q: A D E For Items 25-30, choose what best describes the sequence of vertices based on the graph above.…

A: GFEDCBA is a walk from G to A. Here vertices and edges are distinct.So it is  both a path and a…

Q: Using Laplace transforms, solve the initial value problem y" - 2y + 10y = 0, y(0) = -3, y'(0) = 3.

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Q: Evaluate J by means of trapezoidal rule using n = 10 and n =20: 1 = [*exp(-x²) dx Evaluate J by…

A: We need to find the value of J=∫01exp(-x2) dx using the trapezoidal rule with n=20 and n=10

Q: 12. Which of the following is submonoid of (Q, *) where a*b = ab? A. (Z, *) C. ({0}, *) B. (R+, *)…

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Q: ا دند c) | -3 + d) 4 0-1 3-2 21 + −1 3 24 نیا

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Q: 3. Which of the following differential equations describe the direction field shown below? " 1 1 / /…

A: Let us draw the graphs of differential equations one by one.

Q: Find the solution to the equation 2x² - 4x + 1 = 0 using simpsons rule with an lower a and upper…

A: Given , f(x)=2x3-4x+1 we have to use Simpsons rule to find solution with lower limit is 1 and upper…