Round your answer to four decimal places, if necessary. Find the arc length of the portion of the curve y = 3x² + 5 with 0≤x≤ 1.

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A: We can solve this using ordinary Differential Equation with substitution method

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A: Let us consider the matrix A Then the inverse of the matrix is obtained using augmented matrix…

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Q: the inverse transform of the given functions: - F(s) = S²-130+14

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Q: 7) There is no proper non-trivial maximal ideals in (Z2₁, because is a maximal ideal in Z2₁, ,0 )…

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Q: Suppose gcd(a, n) = 1. Then a(") = 1 (n

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Q: (B) 3 (C)2 If D* f (x) = 2f (x) D(f (x)), then (D*(x/nx)), is- (A) 4 BYA 16

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Q: A

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Q: Use the Laplace transform to solve the given initial-value problem. y"+y= √2 sin(√2t), y(0) 13,…

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Q: ADVANCED MATH (You may use excel for solving. Rate will be given.) See the following system of…

A: We can solve this using LU decomposition method And gaussin elimination method

Q: 1. Evaluate the given integral Q. 2/3 √9-22 2 = 1₁² [²/² √ √²=3² [ C (y-x) dx dy dz Your answer 2.…

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

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Q: solve the equation day + (2 cosx + tanx) dy + y cos³x = costic dx dx² by changing the independent…

A: Given differential equation is d2ydx2  +2cosx +tanx dydx +y cos2x =cos4x Here, P = 2cosx +tanx,  Q=…

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A: Since you have posted multiple questions and we can answer one question. So, answered the first…

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Q: Tank A initially holds 100 gallons of brine that contains 100 lbs of salt while tan B holds 100…

A: This is a problem of modeling differential equations.

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Q: 1. Find the trigonometric Faurier Series of the function defined by; f(x) = x + # if π..<X. <. ... D…

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Q: (a) LEEDS1060 What is the elementary matrix corresponding to the row operation 10 R₂ → R₂ +3R3 on a…

A: This is a question of Linear Algebra, Linear Transformation.

Q: 12. = y dV, where E is bounded by the planes x = 0, y = 0, z = 0, and 2x + 2y + z = 4

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Q: Find the sum : [00 En = n=0 (-1)" πT 2r q" (2n)!

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Q: (D²-1)y=2(1-e-2x) - ²

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Q: A- Find the integrating factor of the following D.E (2 cos y + 4x²)dx (x sin y) dy 1. Add file B-…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 100 000 61 383 52 279 Find the unknown number in between 45 000

A: It is known that: ∆=E-1, where ∆ is the forward difference operator and E is the shift operator.

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Q: Consider the initial-value problem: y' =y-x, y(0) = 1²/12 Use Euler's method with h= 0.1 to compute…

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Q: Find the General Solution of (D² + 5DD' +6D2)Z = 10 cos(x - y)

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