Use Simpson’s Rule with to estimate the arclength of the curve. Compare your answer with n=10  the value ofthe integral produced by your calculator  y = square  root of x    1<=x <=4

Q: x'(0) = 2 x"+ 4x + 3x = 65 sin (21), x (0) = 1, Solve the above IVP and then find x(0.25). Put…

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Q: Show that Q.) J′′0 (x)=−J0(x)−x−1J′0(x).

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Q: Prove that there does not exist a Pythagorean triangle whose length of the hypotenuse and length of…

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Q: (a) find the Minimum of में wsz 81m g ++ for xe R (6) If log₂ (a+b) +logs (c+d) = 2 2012 • them find…

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Q: rove that if p and q are distinct odd p CT (p-1)(q-1) = (-1) 4 uadratic reciprocity law.

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Q: 3. Find the series solution for around xo = 0 (for x > 0). (If you cannot find the generic…

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Q: Find the sum to infinity of the series 1 − 3x + 5x² − 7x³ + .... ∞

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Q: Give an equation for a cosine function that has a maximum at (7.8), followed immediately by another…

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Q: y = x² = x + e-x(x + co

A: Given ode solution y=x2-x+e-xx+cosx

Q: The inverse Laplace transform £¯¹{: L is equal to -3s +36 s²+36 *-^{- = − 3sin(6t)+6cos(6t). -3s +36…

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Q: A periodic function is defined by f(x + p) = f(x), where p is the period of f(x). Assume a periodic…

A: note : Since you have posted multiple questions with multiple sub parts, we will provide the…

Q: which are Subspaces of RB & find abasă to those that <x+y, x+z, g+z)..... < x, y, z) 936

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Q: 1, solve the following Fredholm integral equations by using the Ado- mian decomposition method r1 1.…

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Q: 1 If ym + y¯m = 2x then prove that (x² − 1)⁄n+2 + (2n + 1)xYn+1 + (n² — m²)yn = 0 and also find…

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Q: ƒ(t) + 2 * ƒ(1) cos(t − 1)dt = 4e¯t + sint

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Q: 2- Fill in the multiplication table and the addition table z₂ = {0,1}

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Q: Du(x) = x ( 4 + Sin (2x)) - 0 xultidt

A: Fredholm equation is defined as the equation in the integration over the fixed general region. The…

Q: (b) A sequence (fn) of differentiable functions such that (fn ) converges uniformly but the…

A: To Explain: A sequence fn of differentiable functions such that fn' converges uniformly but the…

Q: Using the Method for Variation of Parameters for the differential equation y" + P(x)y' + Q(x)y =…

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Q: Evaluate the Integral. Take the integral from - pi/4 to pi/4 from the function 8 cost i + 7 sint j…

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Q: Once you do Pe1 = 0•e1 + 0•e2 + 1•e3 and then the same for Pe2 and Pe3, how do you know the matrix…

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Q: y = x²e-x + 4e*

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Q: d³y dx3 +2 2d²y/ Find the particular solution: = = 0 when x = 0, y = −3, y' = 0, y" = 12

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Q: The distance from the star S to the planet X is approximately 149,000,000 kilometers (km). The…

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Q: Show that both R and R² may be covered by countably many open balls.

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Q: ze² = πi) 4 Verify that i is

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Q: Example 6.24. Using Mil dy (t dt equation For y(2), given that (0) 2

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Q: Find the answer and simplify. If possible, write the answer in its rectangular form. sinh−1i

A: Let  sin h-1(i)=u   ⇒   sin h(u)=i                                   ⇒    eu-e-u2 = i…

Q: - Select the graph below that best represents f(2) = −2sin (2 (æ – 2 n)) – 2 Graph A Graph C -2 /-R…

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Q: Use the modified decomposition method to solve the following Fredholm integ tions: 1. ULF 3. u(x 4.…

A: Given the Fredholm integral equation ux=π-2x+sin-1x+12-sin-1x-12-∫01xutdt. We need to use the…

Q: Show by contrapositive that (3n+2) is even →n is even

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Q: 3.) [D5 — 5Dª + 7D³ + D² − 8D + 4](x₁) = 0 4.) [D² - 4D +7] (yx) = 0 5.) [Dª + 2D³ + 10D²](yx) = 0

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Q: 2. Let C be the semicircle z = 2e where 0 ≤ 0 ≤ T. Show that < C -dz ≤ z² +1 2π√/2 3

A: Given: z=2eiθ , 0≤θ≤π To show: ∫Czz2+1≤2π23

Q: Compute y (0.4), y (005) by corrector method where differential eqantra A дам zet 2e t-y milmes…

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Q: 9. (p) Let F(x, y, z) = (y² + y)i + (z²y +72) 5+ (z+y+z) K, and let C be the triangular closed path…

A: The given vector field is  F=xy2+yi+x2y+7xj+x+y+zk our aim is to find the value of the line integral…

Q: the following problems. integrals: Provide clear, neat, and complete solutions/proofs for Let C be…

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Q: 8. For each situation, decide whether the correlation implies causation. List reasons why or why…

A: 28. It is given that since 2005, the average salary of an NBA basketball player has increased every…

Q: Find the Sum of the Series. 5 + 7 + 13 +31 + 85 + +...+ n fems

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Q: Negative marking applies. Consider the linear operator Pin a 3 dimensional linear vector space with…

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Q: 5. y=x²e + 4e* -x

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

Q: Find g'(x) for the function g(x) = sin(x)+1 dt. g'(x) Click here to start next step :

A: Leibniz Integral Rule For an integral g(x)=∫axbxfx,tdt  its derivative…

Q: Consider a vector x in a linear vector space of dimension N spanned by basis {e^i}. You need to…

A: As per the question we have to prove that any vector in a linear vector space has a unique expansion…

Q: State the first minimum and maximum point to the right of the y- axis of the given function: y = 5…

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Q: use the noise terms phenomenon to solve the following Fredholm integral equations !- = x (1 + √5/2²…

A: As per the question we are given a Fredholm integral equation in u(t) And we have to solve 8t using…

Q: Solve the l.p.p. by graphical method. Maximise Z = 3a + 2b S.T. 1a + 1b ≤ 4 1a 1b ≤ 2 and both a and…

A: The given problem is to solve the given linear programming problem by using the graphical method.

Q: Consider the function F: RR defined by cos(xt) () == // F(x):= dr for xER. a) Show that F is…

A: As per the question we are given a function F : R → R in integral form and we have to show that :…

Q: b) The upward velocity of a rocket can be computed by the following formula where In g pupward…

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Q: (Q1] [20 points] You can leave answers unsimplified. 000 HTAM (A) How many lists of length 4 can be…

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Q: find the sum of 1x (2-6) X (2-60²) + 2X (3-w) x (2- -+ (9-1'x (m-w) x (m-10²); ها Buln rest of Orite

A: A

Q: On what domain, and range is the function y = 2x + 1 both one to one and onto? (i.e. bijective)?

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.