Using Simpson's rule with n=2, I(x³ + 1) dx = Select one: а. 22.1 b. 22 c. 22.2 16 d. 22.01

Q: Find the approximate value for |- 1 dx using -1 Vx? +1 (a) the trapezoidal rule, with h = 0.2, 0.1.…

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Q: 13- What is the average value of the function f) = sin' X COSX on the interval 0.? 3 a) 27 b) 2 d)…

A: Given function:                     f(x) = sin2 x cos x                              on the interval…

Q: Find the number(s) b such that the average value of f(x) = 6x? 42x +70 on the interval 0, b is equal…

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Q: x In (x?) dx

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule t 10 In(x) dx,n = 6

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Q: dy when t = 7. dx Evaluate y = 2z? – 3z + 5 x = 4t +t t = z? +z+1

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Q: using Simpsons Rule with n=2 Swbinter valsi e va lute the intey ral intag ral Ln X dV

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Q: 2. Find the average value of the function f(x) = sin(x) on [0, 27]. Could you have guessed the…

A: Given function is

Q: Find the antiderivatives for dx = 77' + 5. dt X = + C. Hint: In WeBWorK, you write |x| with…

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Q: .5 Approximate J, In x dx using the Midpoint Rule with n = 4. Round your answer to five decimal…

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Q: What is the average value of y = COS x on the closed interval [-1, 3]? ² +x + 2 (A) -0.085 (B) 0.090…

A: Solution is in step 2

Q: Q Give Some definitio ns to the Best approximation you know, and then glve the Sufficiet condition…

A: We have to write about best approximation method

Q: What is the average value of the function f(x) = sin2xcos3x on the interval [0,? a. t b. 0 π с. d.…

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Q: Evaluate y dx using weddle's rule from the following table.

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Q: Given that S" 4Væ dx = 152, what is fo*4Vt dt ? 3 )

A: As we know that;  the value of definite integral will not change if independent variables changes,…

Q: Use either integration by substitution or integration by parts as needed to evaluate S³= A B x²+1…

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Q: 34. Which of the following is solvable directly by power rule of antiderivative? A. [xe"dx B. Ssin*…

A: Which of the following is solvable directly by power rule of antiderivative?

Q: Which method approximates (x³ + Inx) dx to 0.9314 (a) trapezoidal rule with 12 intervals (b)…

A: Trapezoidal rule ∫x0x0+nhfxdx=h2y0+yn+2y1+y2+y3+y4+...yn-1 Simpson's one-third rule…

Q: 1 I = dx V(a-a)(x-a-2b)

A: Given data: The given integral is I=∫1a-xx-a-2bdx. The given integral can be written as,…

Q: dy when t = 7. dx 13. Evaluate y = 2z? – 3z + 5 x = 4t' +t t = z? + z+1

A: Derivative of the function decides whether the function is increasing or decreasing. If the first…

Q: 5/ calculus

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Q: > Approximate o using the trapezoidal Rule x² dx Is this an wnderestmahon or over estimation ?

A: we have been given the function f(x)=x2

Q: dx using Simpson's rule. 3 Q5. Evaluate

A: Here Simpson 1/3 is not applicable.

Q: Q6. The average value of R(z)= sin(2z)e'-cos(2=) on [-x,7] is?

A: For the solution of the problem follow the next step.

Q: blve using method of undetermined coeffi cients d x X.P + 6 dx dt 3 + 12 dx + 8x =0 dt2 dt when t…

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Q: Q2: Evaluate o o" y*(x² + y²)dx dy 1 cV1-y? y² (x? + y?)dx dy

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Q: sec z dr

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Q: r.S. Let X N(u, o2) of size n. Find an MLE for u and o².

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Q: 3- Approximate xe* dx using h = 0.25. Use a. Composite Trapezoidal rule. b. Composite Simpson's…

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Q: r.s. 5. ! Let Let X N(µ,o²) of size n. Find an MLE for u and o?.

A: Given: x~N(μ,σ2)f(x)=1σ2πe-12x-μσ2

Q: B) Find Sx e2x dx, at h = 0.2, use Simpson's 1/3 rule. J0.4

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Q: Suppos analyts s? show work. you

A: Given that f is analytic. And z≤1 And f(0)=0 And f(5)≤5 The formula for derivative is,…

Q: 3 dx 7 1 dx dx {an}n=1 %3D 3 5. dizisi için aşağıda verilen bilgilerden hangisi doğrudur?

A: A series is convergent if the series approaches certain value when the value of x approaches its…

Q: Evaluate 2xz dV where E = {(x, y, z) | 2 < x < 4, x <y < 2x, 0 < z < x + 3y} . E Round your answer…

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Q: y (a) Find the average value of f(x) = 25 – x² on the interval [0, 2]. Answer: (b) Find a value c in…

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Q: dx Evaluate 1 using Simpson's – rule. 3

A: Simpson 1/3 rule is not applicable here.

Q: Q3/8- Using Simpson's rule ,choose the correct integration value of x* +5 ,with width = 2? =1030…

A: By Applying Simpson's 3/8 rule.with widht =h=2

Q: A. Use Simpson's rule to evaluate dx , by taking n=4 Inx

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Q: " dy_ x +x*e prove that dx Q: If x =k (1+e II

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Q: Evaluate -dx by taking n = 10 using the Trapezoidal and Simpson's 1/3rd rule. Also compute the…

A: Given : The function ∫12.61xdx n=10 By using the Simpson's 13rule: Given x1=1, x2=2.6,n=10…

Q: Find the average value of f(x) = Vĩ on the interval [0, 25]. favg %3D Enter your answer as a…

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Q: 1. Evaluate a dV where E = {(x, y, 2) E R³ | 0 < z < x + y,0<x < y?,0 < y< 1}.

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Q: 1 dx (i): Trapezoidal rule, (ii): Simpson’s 1/3 rule, taking 6 equal intervals, J0 x3+x+1

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Q: Q3/ Evaluate Sz Vsinx dx, using i- Trapezoidal rule ii- Simpson's 3/8 rule Ans. 1.1615

A: 3 Given integral is ∫0π2sinxdx. i We have to evaluate the given integral by using trapezoidal rule.…

Q: Q2// 1.5 I= S dx use Simpson's 1/3 rules, with n=4. 0.2

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Q: Let @ = 7e* dx ^ dy + ae³ dx ^ dz and n = 7e*y dx + 14e* dy+ e³ dz, where a E R. Find the value of a…

A: Given: 2-form, ω=7exdx∧dy+αeydx∧dz. 1-form, η=7exydx+14exdy+eydz.  where α∈ℝ. To find: The value…

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.