


I need help solving all these questions with step hy step work. 7. Determine the values...
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) 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. (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 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 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 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 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 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 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 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....