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![nziu Ana 12-4 8 4 4 -२ =2=6222 Sub Polerrals: [4, 6], [68],[8,10],[10,123 midpointsi ut 6 6-18 8710 a ) 10612 5, 7, 9, 10 f(5](http://img.homeworklib.com/questions/88eaed60-e7cc-11ea-8e0f-4f761dd34b1e.png?x-oss-process=image/resize,w_560)
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Find the midpoint rule approximations to the following integral. 12 S x x3dx using n= 1,...
Find the midpoint rule approximations to the following integral. 3 X dx using n 1, 2, and 4 subintervals. 1 M(1)- (...
Find the midpoint rule approximations to the following integral. 3 X dx using n 1, 2, and 4 subintervals. 1 M(1)- (Simplify your answer. Type an integer or a decimal.)
Find the midpoint rule approximations to the following integral. 3 X dx using n 1, 2, and 4 subintervals. 1 M(1)- (Simplify your answer. Type an integer or a decimal.)
Find the indicated Midpoint Rule approximation to the following integral. 12 S22 2x dx using n=1,...
Find the indicated Midpoint Rule approximation to the following integral. 12 S22 2x dx using n=1, 2, and 4 subintervals 4 12 The Midpoint Rule approximation of S xx? dx with n= 1 subinterval is (Round to three decimal places as needed.)
1 Find the midpoint and trapezoid rule approximations to S cos zxdx using n=25 subintervals. Compute...
1 Find the midpoint and trapezoid rule approximations to S cos zxdx using n=25 subintervals. Compute the relative error of each approximation. 0 T(25) (Do not round until the final answer. Then round to six decimal places as needed.)
EXAMPLE 5 Use the Midpoint Rule with n = 5 to approximate the following integral. dx...
EXAMPLE 5 Use the Midpoint Rule with n = 5 to approximate the following integral. dx х SOLUTION The endpoints of the subintervals are 1, 1.6, 2.2, 2.8, 3.4, and 4, so the midpoints are 1.3, 1.9, 2.5, 3.1, and width of the subintervals is Ax = (4 - 175 so the Midpoint Rule gives The 1.9* 2s 313) dx Ax[f(1.3) + (1.9) + (2.5) + F(3.1) + f(3.7)] -0.06 2 + 1.3 2.5 3.1 . (Round your answer to...
Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule approximations f...
Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule approximations from the Trapezoid Rule approximations. Make a table showing the approximations and errors for n 4, 8, 16, and 32. The exact value of the integral is given for computing the error. Sax-2) dx 1920 Complete the table below. (Type integers or decimals. Round to two decimal places as needed.) Absolute Error in T(n) Absolute Error in T(n) S(n) S(n) 4
Apply Simpson's Rule...
Given the integral below, do the following. 2 cos(x2) dx Exercise (a) Find the approximations T4...
Given the integral below, do the following. 2 cos(x2) dx Exercise (a) Find the approximations T4 and M4 for the given interval. Step 1 The Midpoint Rule says that b f(x) dx = Mn Ax[f(+1) + f(22) + ... + f(n)] with ax = . b - a + n a 1 We need to estimate 6 2 cos(x2) dx with n = 4 subintervals. For this, 1 - 0 Ax = 4 = 1/4 1/4 Step 2 Let žų...
(a) Approximate the definite integral using n-6 equal width subintervals and: the Midpoint Rule. 0 Simpson's...
(a) Approximate the definite integral using n-6 equal width subintervals and: the Midpoint Rule. 0 Simpson's Rule. s- 1 ob) Glven that / vd2- 4 tnd ne aboolute valuse of the exact emor to sik deimal pinces In each apprximation trom (e).
Let EM represent the error in using the Midpoint Rule with subintervals to approximate S. f(x)...
Let EM represent the error in using the Midpoint Rule with subintervals to approximate S. f(x) dx. Then K(b - a) TEM 24n2 where K is the maximum number that the absolute value of IF"(x) achieves for asx<b. Use this inequality to find the minimum number, 17 of subintervals necessary to guarantee that the Midpoint Rule will approximate the integral dx to be accurate to within 0.001. 80 O 358 253 114
The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate f(x) dx, whe...
The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate f(x) dx, where f is the function whose graph is shown below. The estimates were 0.7811 0.8675, 0.8632, and 0.9540, and the same number of subintervals were used in each case. (a) Which rule produced which estimate? ?1. Trapezoidal Rule estimate 2. Right-hand estimate 3. Left-hand estimate N4. Midpoint Rule estimate (b) Between which two approximations does the true value of o fa) dx lie? A. 0.8675 β...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) S 2 + cos(x) dx, n=4 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read Talk to Tutor
Find the midpoint rule approximations to the following integral. 3 X dx using n 1, 2, and 4 subintervals. 1 M(1)- (Simplify your answer. Type an integer or a decimal.)
Find the midpoint rule approximations to the following integral. 3 X dx using n 1, 2, and 4 subintervals. 1 M(1)- (Simplify your answer. Type an integer or a decimal.)
Find the indicated Midpoint Rule approximation to the following integral. 12 S22 2x dx using n=1, 2, and 4 subintervals 4 12 The Midpoint Rule approximation of S xx? dx with n= 1 subinterval is (Round to three decimal places as needed.)
1 Find the midpoint and trapezoid rule approximations to S cos zxdx using n=25 subintervals. Compute the relative error of each approximation. 0 T(25) (Do not round until the final answer. Then round to six decimal places as needed.)
EXAMPLE 5 Use the Midpoint Rule with n = 5 to approximate the following integral. dx х SOLUTION The endpoints of the subintervals are 1, 1.6, 2.2, 2.8, 3.4, and 4, so the midpoints are 1.3, 1.9, 2.5, 3.1, and width of the subintervals is Ax = (4 - 175 so the Midpoint Rule gives The 1.9* 2s 313) dx Ax[f(1.3) + (1.9) + (2.5) + F(3.1) + f(3.7)] -0.06 2 + 1.3 2.5 3.1 . (Round your answer to...
Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule approximations from the Trapezoid Rule approximations. Make a table showing the approximations and errors for n 4, 8, 16, and 32. The exact value of the integral is given for computing the error. Sax-2) dx 1920 Complete the table below. (Type integers or decimals. Round to two decimal places as needed.) Absolute Error in T(n) Absolute Error in T(n) S(n) S(n) 4
Apply Simpson's Rule...
Given the integral below, do the following. 2 cos(x2) dx Exercise (a) Find the approximations T4 and M4 for the given interval. Step 1 The Midpoint Rule says that b f(x) dx = Mn Ax[f(+1) + f(22) + ... + f(n)] with ax = . b - a + n a 1 We need to estimate 6 2 cos(x2) dx with n = 4 subintervals. For this, 1 - 0 Ax = 4 = 1/4 1/4 Step 2 Let žų...
(a) Approximate the definite integral using n-6 equal width subintervals and: the Midpoint Rule. 0 Simpson's Rule. s- 1 ob) Glven that / vd2- 4 tnd ne aboolute valuse of the exact emor to sik deimal pinces In each apprximation trom (e).
Let EM represent the error in using the Midpoint Rule with subintervals to approximate S. f(x) dx. Then K(b - a) TEM 24n2 where K is the maximum number that the absolute value of IF"(x) achieves for asx<b. Use this inequality to find the minimum number, 17 of subintervals necessary to guarantee that the Midpoint Rule will approximate the integral dx to be accurate to within 0.001. 80 O 358 253 114
The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate f(x) dx, where f is the function whose graph is shown below. The estimates were 0.7811 0.8675, 0.8632, and 0.9540, and the same number of subintervals were used in each case. (a) Which rule produced which estimate? ?1. Trapezoidal Rule estimate 2. Right-hand estimate 3. Left-hand estimate N4. Midpoint Rule estimate (b) Between which two approximations does the true value of o fa) dx lie? A. 0.8675 β...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) S 2 + cos(x) dx, n=4 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read Talk to Tutor
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