Q3/ Find the integral x e* dx by using trapezoidal and simpson methods with an error of no more that 0.001.

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it converges

A: Consider the given integration as Use the special formula of integration which states

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

A: Given integral is ∫03 x3+xdx Number of sub-intervals = 6 Take f(x) = x3+x Step size  ∆x  = 3-06…

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral S7 n = 20…

A: we nee to find ∫π4π2ln(tanx)dx,  n=20 a=π4=0.7854,  b=π2=1.5708 ,  y=ln(tanx)…

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

A:

Q: Suppose f has absolute minimum value  m and absolutemaximum value M . Between what two values must…

A: Given that the absolute minimum value of f(x) is  m and absolute maximum value is M So,…

Q: Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge. 00 3x dx = (x² +…

A:

Q: 1- Use trapezium's Rule with n = 4 to approximate the integral Vx dx

A: We have to use formula of Trapezoid Rule.

Q: (b) Find the value of the improper integral dx with infinite interval of integration, if they…

A:

Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x3 + x)dx.

A: We need to estimate integral value. NOTE - As per Bartleby's guidelines we can solve only one…

Q: Use Simpson's Rule with n=2 subintervals, evaluate the integral - Inx. dx, and compare the estimate…

A: Here we use Simpson's rule with n= 2, evaluate the integral value and compare the estimate with…

Q: The value of the integral Vx dx computed using Trapezoidal rule with 2 subintervals is (Rounded upto…

A: The trapezoidal rule uses the area of the trapezoids to approximate an integral. Using the…

Q: Find the value of integral that converges.

A: Find the value of integral that converges ∫-∞0xx2+3dx.

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x3 +x)dx

A:

Q: 18) Use two compositions of composite Simpson's method to estimate the integral Inx dx

A: The Simpson's rule can be used to calculate the integral approximation. The formula used in…

Q: Evaluate the improper integral if it converges. (If the quantity diverges, enter DIVERGES.) 2e* dx

A: We have given an improper integral; We know that if an improper integral evaluates a real value…

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

A: Solve the following

Q: Use the Midpoint Rule with n = 3 to approximate the integral 16 | (- 10x + 2x2) dx 10

A: In this question we will use basic of calculus i.e concept of midpoint rule to approximate the…

Q: Calculate an approximate value of the integral ; dx by dividing the 1+x2 interval into 8 equal parts…

A:

Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

A:

Q: The approximated value of the integral fe* dx is equal to - Rule with step size (h=2). when using…

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Q: find integral dx 4) S x²V4-x2

A: Indefinite Integration

Q: 1. Evalute the improper integral 3x dx. 1+ x2

A: Given: ∫-1∞3x1+x2dxTo evaluate the improper integral:

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral S³ dx 8 x-6 6 x+8

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: dx 00 1+vx

A:

Q: If the integral diverges, indicate that using the checkbox. 6 dx The integral diverges x(x + 1)

A:

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx

A: We need to use the mid-point rule to find the value of the definite integral.  The mid-point rule…

Q: Find the approximate value of integral from 0 to 10 1/√(x2+1)dx to 4 decimal places using Simpsons…

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Q: Calculate the value of the integral dx to show that it is convergent. Then, use this result and the…

A: The given integral,∫1∞1x2dx and ∫1∞x2x4+x2+1dx

Q: Use Simpson’s rule with n = 4 to approximate the value of integral.

A: Consider the given integral as ∫01exex+4dx

Q: –1 dx x V In (-x) -3

A: Find the type of the generalized integral and examine its convergence.…

Q: Evaluate the improper integral if it converges, or state that it diver - 1 dx 1 8 Diverges

A: We have to check

Q: Use the 4_segment trapezoidal Rule to numerically integrate. S(0.2 + 25x + 3x²) dx

A:

Q: Estimate the minimum number of subintervals needed to approximate the integral dx with an error of…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: Evaluate the integral if it converges. Enter the exact answer, or enter na if it diverges. +00 -dx =…

A: Let I is the value of given Integral.

Q: 3 Estimate the integral 1 dx by Simpson's rule using n= 8. Vx3 + 5

A: Given that a integration and ask estimate value use Simpson rule when n= 8. In Simpson rule we can…

Q: dr Find the percentage error by calculating the integral with the Trapezoidal Formula using n = 4…

A: Given that, the integral is ∫28xx2+1dx. It is known that, the formula for the trapezoidal…

Q: Calculate the improper integral if it converges, or show that it diverges. 3x4 dx 5 – 1 -

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Q: a. Use the Trapezoidal Rule with n = 10 to approximate the integral  b. Give an upper bound for the…

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Q: Evaluate the integrals that converge: 3 dx 2x ! b) | a) dx (x² + 5)³ 3 – x -00

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Q: Using the trapezoidal rule with n = 4, estimate the integral / (x (x+1)² dx.

A:

Q: Using the trapezoidal rule with n = 5, approximate the integral L' TO S³ give the error of…

A: Trapezoidal rule formula: ∫abf(x) dx=h2(y0+yn)+2(y1+y2+...+yn-1) Given ∫03dx16+x2 Here f(x)=116+x2…

Q: 1. ntegral dx with 6 (x-4)2

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Q: 3. Approximate the integral -dx using 4 trapezoids.

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Q: diverges: too e -2 dx 2. Evaluate the integral and state whether it converges or

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Q: Estimate the minimum number of subintervals needed to approximate the integrals with an error of…

A: Here I have appended the formula used in the solution part

Q: Find the minimum value of n that guarantees an error of no more than 1/30,000 in approximating the…

A: Given the integral: Hence we have

Q: 7) Estimate the value of e dx using Simpson's rule using 8 subintervals.

A: Given: ∫02ex2dx Here, n = 8 subintervals

Q: .find the integral by Gamma fun y(-Iny)5 dy

A: Gamma function is defined as Γ(x)=∫0∞xn-1e-x dx .               Disclaimer: Since you have asked…

Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral x³ + x)dx.

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.