Suppose that f(0.25) = f(0.75) = B. If the Composite Trapezoidal rule with n = gives the value 4 for f(x)dx, and gives the value 3 with n = 4, then B=: %3D %3D 2 %3D Select one: a. 2 0 b. 3 C. 4 O d. 1

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A: NOTE: Refresh your page if you can't see any equations. .

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Q: d. Use your answers for parts a and b to estimate 1 -dx using the trapezoid rule with n=4

A: Approximate by trapezoid rule

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Q: 2: For a given table 2 5 8 11 y 4 8 13 18 (c) Using Lagrange's interpolation formula, find the value…

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Q: y to solve the following linear differe ] dy

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Q: Q4) Find dy /dx for the following functions: a) e*y = x – y b) y = (cos x)Vx

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Q: If the D. E. + M(x, y))dx + sin(xy)dy = 0 is exact then the function М(х, у)

A: If the Differential Equation 1y+M(x,y)dx+sin(xy)dy=0 is exact then the function M(x,y)

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A: given I=∫01∫02x2+2xy+y2dydx with  h=0.2 let x0=0.2 , y0=0.5 let fx,y=x2+2xy+y2 substituting the…

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A: We will evaluate the integral by using trapezoidal rule as shown below

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A: To evaluate: ∫02fxdx given the table of values:

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Q: dy for the following implicit function at p(1,1) Find dx Vxy +1 = y is O 1 O 1/2 O -1/2

A: A detailed solution is given below.

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Q: (a) Use n = 6 subdivisions to approximate the value of 6 Vx + 3 dx by the trapezoidal rule.

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A: The value of the integration

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Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 В. 2.718 O C. 1.363 O D. 1.372

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Q: Given that 7 < f(x) < 8 for 1 < x < 2, | f(x)dx estimate the value of / s(x)dx < VI

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Q: f(x) = 3x²+x+7. Approximate fo trapezoids. O a. 60 Ob. 44 Oc. 30 Od. 22 f(x)dx using the trapezoidal…

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Q: - Use Modified Euler method to find the function (y) when dy 0< x< 0.4, given that = y* + Vx, for…

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Q: 3 5. Evaluate I x*dx exactly and find the actual error with the trapezoid approximation. 0.

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Q: 1 If the approximate value of dx is 0.2178 by Trapezoidal rule, then the error is 5x+7 а. 0 b. 0.369…

A: We will find error by finding the difference between exact value found by integration and…

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Q: If x= Arctant, y=. 2ay" =17 when t=V2. 1+76, find the value of a if y' В © VE E -2/2

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Q: Why is e^x selected as u and not e^2x (to get du /2 = e^x dx in the problem attached?

A: Consider the integral  ∫e2xe2x+3ex+2dx

Q: 1 Approximate xe*dx using the Trapezoidal rule with 4 points. O A.3.123 O B. 6.246 OC2.082 O D.1.041

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Q: Given the graph of the linear function y = k(t) with k(6) = 24. %3D y 2A A 6 t 8.1 Show how you use…

A: 8.1) Given:     y=kt with k6=2A Area ∫06ktdt        Substitute kt=2A            =∫062A dA

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.