Considering four subintervals, the value of f dx by trapezoidal rule is: 1+x Select one: a. 0.6870 b. 0.6670 c. 0.670 31 d. 0.6970

Q: For a given table 10 14 y 4. 12 20 dy at r = 2 using forward difference formula. dx Find the value…

A:

Q: If f(x, y) = x cosy + ye*, find a2f дхду

A: Partial derivative: A partial derivative of a function is defined as the derivative of the function…

Q: Use these 3 methods to approximate , ex dx, n = 8 a. Trapezoid Rule b. Midpoint Rule c. Simpson's…

A:

Q: Consider the two quadrature rules 0 Which one is better? Þƒ (¹) +cf (1), 2 3 + ߃ ( ¹² ) + yf าร์ (…

A: The function f(x) is integrated from 0 to 1.

Q: Use Gaussian Quadrature with 2 steps (n=2) to approximate -5 0.2 dx, xe' which of the following is…

A: According to Gaussian quadrature with 2 steps, ∫abfxdx≈c1fx1+c2fx2 Where…

Q: For degrees of freedom, df = 11 and t = 2.201, the area to the right of the t-value is:

A:

Q: Select the best option based on the information below. MP at(x;,x;). = TRS = MP, %3D %3D - W2 Select…

A: Given....

Q: The value of e" dx from 0.2 to 2.2 by using multiple segment trapezoidal rule, n-2 is O 7.8423 O…

A:

Q: Find the length of the secant XY in the following diagram if the radius is 6, XW= 9 and WY =XZ z а.…

A:

Q: Find a,b and c so that the quadrature formula has the highest degree of precision | f(x)dx % af(-2)…

A:

Q: The result is calculated as follows. '1 +5/8 dx 8_y13/8 . 13 = F(1) – F(0) - 0 II

A: Let I=∫01x5/8dx

Q: Use the Midpoint Rule with m = n = 2 to estimate the value for R. 5x + 3ydA on the rectangle R = [0,…

A: use the midpoint Rule with m=n=2to estimate ∫∫R5x+3y dAor R=0,8*0,6here limit of x is x=0 to…

Q: 2 b.f V1 + x³ dx

A: The given integral is√(1+x3) limit from 1 to 2.

Q: Use the Midpoint Rule with m = n = 2 to estimate the value for 4x + 2ydA on the rectangle R = [0, 8]…

A:

Q: z) = 8x? In (5y + 9z). Find the range of tl %3D

A: We have to choose the correct option according to the given option

Q: The total surface" area, S, of a cone of base radius, r, and perpendicular height, h, is given by S…

A:

Q: (a) Approximate the value of dx, using two and three points Gauss Quadrature Vx+A A: O

A:

Q: While evaluating the approximate value of 13 x dx, using Trapezoidal rule, taking 7 h = 0.5, the…

A:

Q: Use the trapezium rule, with 4 strips, to estimate ? e−x2 dx on [0, 2]. What is the maximum error?…

A:

Q: Find a,b and c so that the quadrature formula has the highest degree of precision | f(x)dx & af(-3)…

A: Let us consider a function f(xk)=yk for k=0,1,2,....n x0=a and xn=x0+nh=b  The general quadrature…

Q: Use the trapezoidal rule to find A- using the indicated value of n. dx; n = 8 3 3x +3 A, = (Round…

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

Q: While evaluating the approximate value of x2 dx, using Trapezoidal rule, taking 3 h = 0.5, the value…

A:

Q: Find a, b and e so that the quadrature formula has the highest degree of precision [ f(x) dx =…

A: Solution :-

Q: The area, in square units, between the curve y = 4|x and the x-axis on the interval [-3,4] is…

A:

Q: Suppose that f(0.25) = f(0.75) = B. If the Composite Trapezoidal rule with n 2 gives the value 4 for…

A: The formula for Composite Trapezoidal rule is given by, ∫abf(x)dx=h2f(a)+2∑i=1n-1fxi+fb where…

Q: Given f(x, y) = – læ – 3x?y? – 6y³, find fz(x, y) = fy(x, y) = fzz(x, y) = fry(x, y) = |

A:

Q: Apply the midpoint and trapezoid rules to the following intergal. Make a table showing the…

A: Consider the provided question,

Q: Use the Midpoint Rule with m = n 2 to estimate the value for 5 x + 3ydA on the rectangle R = (0, 8]…

A: Given fx,y=5x+3y

Q: While evaluating the approximate value of 20 x² dx, using Trapezoidal rule, taking 3 h = 0.5, the…

A:

Q: Given f(x, y) = In Vay³. What is the value of fy (1, 2)? If the answer is a fraction, write your…

A: Given:  fx, y=lnx2y3 To Find:  To determine the value of fy1, 2.

Q: B- Use the Trapezoidal rule with n=2 to estimate fdx, to find the absolute relative true error |E¿|?

A: In this question we have to use trapazoidal rule to find integral.

Q: The value of a. 11.807 2.2 xe* dx by using the three-segment trapezoidal rule is most nearly 0.2 b.…

A:

Q: Use Composite Trapezoidal Rule with M = 4 to find: Lif(x)dx where f(x)=(1+x?)-1 Select one: O a.…

A:

Q: Use the Midpoint Rule with m = n = 2 to estimate the value for 4x + 3ydA on the rectangle R = [0, 8]…

A:

Q: Use Lagrange interpolation to approximate y at x=c from the following tabulated values: C+3 Y3 C-1…

A: We know the Lagrange interpolation polynomial is…

Q: If we use Trapezoidal rule to approximate * f(x)dx then find the value of x2, where n= 6 Select one:…

A: The Trapezoidal rule formula is ∫abf(x)dx ≅ h2f(x0)+ f(xn) + 2( f(x1)+f(x2) + .. f(xn-1)) h = b-an =…

Q: y muricui cun 13 grven by tm JurT uct urcu IctiorT g(r) = 2ar2 + 6xr, where r is the radius. If f(r)…

A: Surface area of a cylinder is the sum of surface are of two circular ends and surface area of the…

Q: Suppose f(5.25) = f(5.75) a. Find a if the composite Trapezoidal Rule with n 2 gives the value 12,…

A:

Q: e values of x fo g trapezoidal off to one

A:

Q: Suppose that f(0.25) = f(0.75) = B. If the Composite Trapezoidal rule with n = gives the value 4 for…

A:

Q: 23. Find the absolute value of the resulting error if the value of fx³ dx is estimated with 3…

A:

Q: Given f(x, y) = ex° fæy = fyx. ,8 x°yt, show that ,8,

A:

Q: D Given: l, m antersect at P M <1 = 2x+5 m22 = X+5 %3D Pove: x= 50°

A:

Q: sy,z) = 8x? In (5y + 9z). Find the range %3D

A: We have to choose the correct answer from the given option according to the given option

Q: :Evaluate , V1 + x dx using Gauss-Quadrature formula (n=4).

A:

Q: Given that 3 = ym +, determine the exact value of m +. %3D

A: a+b2 = a2+b2 +2ab.

Q: Find a,b and c so that the quadrature formula has the highest degree of precision f(x)dx × af(-3) +…

A:

Q: Use the trapezoidal rule to find A, using the indicated value of n. dx; n=8 3 X +1 .....

A: Please refer the attached image for complete solution. THANK YOU.

Q: If Jf(x)dx = cotx? +C, then f(x) is equal to

A: ∫f(x)dx=cot x2+C

Q: Ex Find the Salution of the sliff. equ. + 2x° cosx, given that yf z dx

A: Here we have to solve differential equation

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.