Numerical Integration: •2 S² = 1. -dx X

Q: (b)show that: 1(cosh at cos at) s++4a

A: The solution is given as

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: z² 2 (z-1)(z-0.5)

A: Given z - transform ,                                            F[z] = z2(z-1)(z-0.5) Inverse  z -…

Q: 7) x = y² 8) y=

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Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

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Q: Topic: Root Finding using Fixed-Point Iteration Solve the problems and show the complete solution.…

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Q: Solve the initial value problem y" + 6y' +9y = 0, y(-1) = 2, y'(-1) = 3. y(t) =

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Q: In dx Evaluate the integral: Sen(2²+2x-7) X+5x +5x+31n|x-2|+C 2 B x² + 5x + In|3x-6|+C O ²+5x+x=2+C…

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Q: Consider the following optimisation problem max f(x, y) = t√x y, subject to tx2 + y ≤ 5 x ≥ 0, y ≥…

A: a) when t=1 , max f(x,y) = xy  subject to x2 + y≤5 , x≥0 , y≥0.   x2 + y≤5  ⇒y≤5-x2 ⇒ f(x,y)≤…

Q: Evaluate the following iterated integral: LS xy(2y + 1) dy dx.

A: Evaluation of the double integrals

Q: Given transformation T: R³ → M2x2 which is defined as T(x, y, z)=(x + y ) 1 M2x2 is a vector space…

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Q: Instruction: Divide the given straight line AB externally at a point P such that AP:PB = a:b Methods…

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Q: Evaluate. 2x lim (e²x + 2) 8118

A: The solution is given as

Q: The general solution of (D³-4D²)y=0 is A y=C₁ + C₂x + c3e-4x B y=C₁ + C₂x + c3e4x C D y=c₁+ c₂e²x +…

A: To find the general solution of  D3-4D2y=0

Q: For the function f(x, y) = 4x³ + x² − 7, find the solution of the differential equation from x = 0…

A: To solve: The initial value problem dydx=4x3+53x2-7, y(0)=3, Analytically.

Q: Which of the following is homogenous of smallest degree? x² + y² A X x-y B C D x-y In x - In y √√x+y

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Q: 7.) John borrowed P4500 cash from his friend. His friend's condition is that he must pay his debt in…

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Q: A contour map is shown for a function f on the square R = [0, 4] × [0, 4] 12 12 Use the Midpoint…

A: Solution:-

Q: D II. Power Series expansion. 1. f(x) = 2x² in powers of (x-1).

A: 1. The given function is fx=2x2 To find: the power series of f(x) about x=1. Please post the…

Q: Which of the following statements is/are true about non-Euclidean geometries? I. In non-Euclidean…

A: To find the statements which is/are true about non-Euclidean geometries.

Q: (a) Prove that if m ₹ N, then the function f(x) = xm is continuous on R.

A: We have to prove that, the function f(x) = xm,   m∈ℕ  is continuous on ℝ.

Q: The score in a game in a television show can be represented by the discrete random variable X with…

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Q: Get the combined application of Simpson's 1/3 and Simpson's 3/8 rules and and solve for the percent…

A: As per the question we are given the following integrand : f(x) = 8 + 5sin(x) And we have to find…

Q: Find the determinant of the following matrix- (1 x₁ x² ... x7-¹\ 1 2 x2x² x²2 ... 1 In x² : ⠀ ⠀

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Q: Who is the Condorcet(Pairwise Comparison) winner? Number of Votes 14 12 1st Rank BBM LENI 2nd Rank…

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Q: 4. When solving for the solution of higher order differential equations, the presence of x in the…

A: NOTE:Kindly repost the other question as a separate question.  When solving for the solution of…

Q: What is the radial lines a and ß of the equation r = sin 30 ? α = 0 and в= A B. a = α = 0 and ³= π/3…

A: Solution:-  Options (b) is correct

Q: Solve the problem using Separation of Variables. Transform the solution into Explicit Form after…

A: Given :  The initial value problem is ;   y' = y(2-y) ,  y(0) = 3 To find :  The solution of given…

Q: Find the surface area generated by y = x³; x = 0 and x = 3 and is revolved on x-axis.

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Q: (a) In the downtown section of Vijayawada two sets of one-way streets intersect. The average hourly…

A: To solve (a) In the downtown section of Vijayawada, two sets of one-way streets intersect as shown…

Q: Find the z-transform of the following equations: a. 2un+n b. cos(3n) + 2 sin(3n)

A: According to our guidelines I can answer only question no. (a)

Q: Summarize what happens in their relationship. (Hint: Think about the eigenvectors. Be sure to…

A: As per the question we have to explain what happens in the relationship (dynamic system) as time…

Q: Premise 1: He is an action star or he has the support of the administration party . Premise 2: He…

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Q: The general solution of (D³-5D2-6D)y=0 is Ay=c₁+c₂e2x + c3e³ B) y=c₁+c₂e-2x + c3e-3x y=c₁ex+c₂e²x +…

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Q: Based on the figure below, approximately how many orders of magnitude bigger is the genome of…

A: Given,A figure showing genome size in log for different genomes.To find: Order of magnitude of the…

Q: Find a general solution. 7y" + 13y' - 2y = 0 y(t) =

A: Solution

Q: Find the z-transform of the following equations: a. 2un + n 2 b. cos(3n) + 2 sin(3n)

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Q: A house with an original value of $160,000 increased in value to $220,000 in 5 years. What is the…

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Q: Determine inverse z-transform of the following equations: Z 2² a. b. (z-2)² (z-1)(z-0.5)

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Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

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Q: 8.M.2 One can define a bilinear form on R2 by the formula ‹ [ 8 ], [ 8 ]› = ac − 3ad − 3bc + 7bd. a)…

A: We have to find the Gram matrix G of the given bilinear form. Then, we can proceed further.

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Solution : Solution of an Equation sin(x)-x3+1=0x1=2 and x2=4x=3.1Step value h = 0.5 using Newton's…

Q: Express (i)(T) J3(x) in terms of J₁(x) and Jo(x) (ii) J₂(x) in terms of J₁(x) and Jo(x) (iii) J4…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: 4.1.16. Use Proposition 4.1.12 to prove that the Petersen graph has an m if and only if 3 ≤ m ≤ 12.…

A: We have to prove that Petersen graph has an edge cut of size m if and only if 3≤m≤12.

Q: 5. (D³2D+4)y=0; y = -2, Dy = 8, D²y = 0, when x = 0.

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Q: Evaluate. 3 Lox f(x) dx, f(x) = (−x + 1, x≤2 1-x² + 6x-9, x>2

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Q: Determine inverse z-transform of the following equations: a. (z-2)²

A: We will use partial fraction method and table of z transformation to find inverse z transformation…

Q: 9. To solve L [et] = you may use: n! (s-a)n+1 [te] - (-1){(t)}

A: here , we need to find laplace transform of function f(t)= f     we know laplace transform of eat…

Q: Which cross-section absolutely cannot be used when solving the problem in the lesson? a. Disks b.…

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Q: Evaluate: L-¹{- S-2 (s+ 2)² - 49 (A e-2tcosh7t 4 B e-2t(cosh7t – sinh 7t) 7 4 © e2t(cosh7t + 7 sinh…

A: Inverse Laplace transform using table values: L-1ss2-a2=coshat,   L-11s2-a2=sinhata First shifting…