2. Solve f e** using Simpson's 1/3 Rule with n = 8.

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A:

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A: Given: The computer completes a 5000 equation back substitution in 0.005 seconds.

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Q: 6. Is the following improper integral convergent? There is no need to compute the answer, but you…

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Q: 3. Use a fixed-point iteration method to determine a solution accurate to within 10-4 for a = at…

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Q: 12)Use the Trapezoidal Rule to estimate the integral ₁√x² - 1 dx using 4 intervals. Round to the…

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Q: The approximation of the root x of the function f(x) = 2x +5-e in the interval [3.4] accurate to…

A: Thanks for the question :)And your upvote will be really appreciable ;) Need 3 iteration

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Q: Show that integral 0 to infinity e -x 2 is convergent.

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Q: Suppose that f is an integrable function on R (real numbers).  How do you show that the integral  of…

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Q: provide the steps for f(x)= sin x2/ x.     integrate using power series

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Q: (Use Simpson's Rule with n=4 to approximate 5x* dx

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Q: 59. Show that 1- sin x dx converges. x? 00

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Q: Use Simpson's Rule with n = 4 to approximate 5x* dx.

A: The solution is given as

Q: ) Use Taylor's formula to estimate the error in the approximation In(x) ~ P3(x) or all x in the…

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Q: The approximation of the root x' of the function f(x) = 2x² + 5 - e* in the interval [3,4]accurate…

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Q: у" - In x

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Q: on inteaurron (ii) Determine the general formula for V Pn.

A: Numerical analysis.

Q: What do you mean  by Stirling's Approximation ?

A: Query- What do you mean  by Stirling's Approximation ? Answer-  Stirling's approximation. Stirling's…

Q: 6. The improper integral 1 dx converges to х -5 попe 2 1 4

A: We have to find

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Q: Use Simpson's Rule with n = 4 steps to estimate the integral. 3 3

A: To estimate the integral ∫025x2dx with n=4. Formula used: ∫abfxdx ≈Δ…

Q: 17.) How large should n be in order for the error in approximating , to be less than 0.0001 /2 x…

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Q: | de P8- メレー Oe dedx

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Q: solve the integral: I2=  integral limit from 0 to 4= 1/((x+1) squar root of 2x+1) dx

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Q: Find lower bound for f(n) = 5n².

A: To find the lower bound for f(n) = 5n2

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Q: Use Simpson’s Rule with n=4 to approximate the integral 8∫0√xdx.

A:

Q: 55. Show that dx J+4 converges by comparing with x³ + xdx. -3 dx. х

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Q: Š The minimum value of n required to approximate dx by composite Simpson's Rule with an error less…

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Q: 4. Letf(x)=x22/5 - 19x². Determine the largest n for which fis n-times continuously differentiable.

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Q: 2. Determine the positive real root of the function f(x) = In(x²) – 2 with initial guess [5/2, 3]…

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Q: Evaluate the definite integral S (1 + 2x) dx using Riemann sum.

A:

Q: Does fn converges to L1 and L2 i.e the distance between fn and f goes to 0

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.