Question

7. Determine the values of n which guarantee a theoretical error less than e = 0.01 ifthe integral is estimated by trapezoida

I need help solving all these questions with step hy step work.
0 0
Add a comment Improve this question Transcribed image text
Answer #1

.3 Iu+3-2) du 4 Ang a Uing The tapezoidel yoksesthat h 4 f2f+2f)+2f) fo) du 2 Mee A= b-a we have that a-1, b-3, h h 4 3-1 4 21 3M- dn 1 -25+6125 +10 +14.125 + 9.25 4 & 10.1875 28 0 Cos (5) dx h=4 he trape zoida! Yule sttes that f)+ 2ff+2ff)+2f f)+f A3 5M du 0 283+ 0.C33-1618 +1.995-0159 COS 4 0.534 4. 0.133 Thanhu

Add a comment
Know the answer?
Add Answer to:
I need help solving all these questions with step hy step work. 7. Determine the values...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • please provide brief steo descriptions so i can follow what is being done. neat legible writing...

    please provide brief steo descriptions so i can follow what is being done. neat legible writing as well. 7. Determine the values of n which guarantee a theoretical error less than E = 0.01 if the integral is estimated by trapezoidal rule 3 +3x-2 4 a. 3 J(cos5x)dc b. 1 7. Determine the values of n which guarantee a theoretical error less than E = 0.01 if the integral is estimated by trapezoidal rule 3 +3x-2 4 a. 3 J(cos5x)dc...

  • 4. Consider using the Simpson's 1/3 rule to estimate the following integral I[cos(x 3)l dx (a) Fi...

    4. Consider using the Simpson's 1/3 rule to estimate the following integral I[cos(x 3)l dx (a) Find the approximate values of 1 when the step size h-: 2 and h 1 , respectively. (b) Find an upper bound of the step size h in order to guarantee that the absolute error (in absolute value) of the estimate is less than 0.001. Hint: 2 sin x cos x = sin (2x). I cos x I " The arguments of all trigonometric...

  • QUESTION 5 The integral 2 1 I= dx x +4 0 is to be approximated numerically....

    QUESTION 5 The integral 2 1 I= dx x +4 0 is to be approximated numerically. (a) Find the least integer M and the appropriate step size h so that the global error for the composite Trapezoidal rule, given by -haf" (), a< & <b, 12 is less than 10-5 for the approximation of I. b - a (b) Use the two-term Gaussian quadrature formula and 6 decimal place arithmetic to approximate I. (Hint: Parameters are ci = 1, i...

  • Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7...

    Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7 2x+5) 5x2–2x+3 (ii) dx (x2+1)(x-1) x2+x+2 (iii) S3x3 –x2+3x+1 dx dx (x+1)V-x-2x In (x) dx (iv) S x2 X+1 (vi) S dx (1+x2) (vii) S dx x(x+Inx) (viii) Stancos x) dx (ix) 30 Sin3 e*(1 + e*)1/2 dx dx 2 sin x cos x (x) S B) Find the length of an arc of the curve y =*+ *from x = 1 to x...

  • class : numerical analysis I wish if it was written in block letter Sorry I can't...

    class : numerical analysis I wish if it was written in block letter Sorry I can't read cursive = Problem 2: Let I(f) = S• f (x)dx. We are interested in approximating this integral within a certain error tolerance. First some notation. Let n be a positive integer and define xj = a + j xh where h (b − a)/n. Recall that the Midpoint rule approximates the integral of f by a Riemann sum that evaluates the function at...

  • MATLAB Create a function that provides a definite integration using Simpson's Rule Problem Summar This example demo...

    MATLAB Create a function that provides a definite integration using Simpson's Rule Problem Summar This example demonstrates using instructor-provided and randomized inputs to assess a function problem. Custom numerical tolerances are used to assess the output. Simpson's Rule approximates the definite integral of a function f(x) on the interval a,a according to the following formula + f (ati) This approximation is in general more accurate than the trapezoidal rule, which itself is more accurate than the leftright-hand rules. The increased...

  • Please show all your work. I need step by step. How did you solve? Please help...

    Please show all your work. I need step by step. How did you solve? Please help me both part or both question. Please help me with all question. Will give you thumbs up. Part IV – True or False Each question is worth 1 point. For each of the following statements, determine whether it is true or false (circle the answer; you don't need to show any work). 1. True or False: The rank of a square matrix equals its...

  • No work required I just need answers! QUESTION 7 Find the values of p for which...

    No work required I just need answers! QUESTION 7 Find the values of p for which the series is convergent. (-1)" Σ n=2 (In(n 4) O a. p > 0 O b.p> 1 O c. p<1 d.00 QUESTION 8 How many terms of the series do we need to add in order to find the sum to the indicated accuracy? 27 (-1)"+1 (error| <0.2793) n = 1 n2 O a n = 5 b. n = 6 Ocn= 12 d....

  • I just need help with questions 5,6 and 7 Economists wish to look at the relationship...

    I just need help with questions 5,6 and 7 Economists wish to look at the relationship between the price of regular unleaded gasoline in the U.S. (units-$/gallon) and the acquisition cost of OPEC crude oil (units-$10/barrel). Summary measures for a random sample of 13 years are given below 13 29.3 0.39 329.67 143.61 What is the estimated regression equation? (Specify which variable is y and which is x) Question 1 where ice of gas t of Question 2 Show the...

  • 13. In an arithmetic sequence , +7. If I =-5 determine the values of I, and...

    13. In an arithmetic sequence , +7. If I =-5 determine the values of I, and to show the calculations that lead to your answers 14. If x4,2x+5 and 4x + 3 represent the first three terms of an arithmetic sequence, then find the value of x. What is the fourth term? 15.18 S(1)=12 and f() = S(n-1)- 4 then which of the following represents the value of S(40)? (1) -148 (3) - 144 (2) - 140 (4) -172 16....

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT