#### Question Details

**Description**

Answer Download

**The Question**

(5) Suppose our computing resources are limited to performing only a few million ele? mentary operations such as addition and multiplication of two numbers. What is roughly the largest size N for a vector (f1, . . . , fN) whose ?nite Fourier transform we can compute using such limited resources? Why? How about using the Fast Fourier Transform method, what can the largest N be? Explain. (6) Let the points 0 (0,0),A (1,0),B (0,1),0 (1,1) be the corners of the unit square in the my plane. Find the continuous piecewise linear polynomial in two variables P(x, y) such that P(0,0) 1,P(1,0) 0,P(0, 1) ?1,P(1, 1) 1. Show all your work. 1 / ecos(7mc)dx. 0 (7) Consider the integral (a) Compute approximate values for this integral using the Composite Mid?Point Rule M N, Composite Trapezoid Rule TN and Composite Simpson?s Rule SN, for N 2. (b) Let f be a function de?ned on the interval [?1, 1] with the property that | f? | g 60 and | f (4)| S 3340 on this interval. Find what is the smallest integer N such that the error in the approximation of the integral LII f (x)dx by M N is less than 10?4. Answer the same question for TN and for SN as well.

This text was automatically generated from the attachment. Please refer to the attachment to view this question.

This question was created from sample_midterm1 https://www.aceyourstudies.com/file/8383347/sample-midterm1/?focusQaId10097516

##### Pay using PayPal (No PayPal account Required) or your credit card . All your purchases are securely protected by .

#### About this Question

STATUSAnswered

QUALITYApproved

DATE ANSWEREDOct 14, 2020

EXPERTTutor

ANSWER RATING

#### BEST TUTORS

We have top-notch tutors who can do your essay/homework for you at a reasonable cost and then you can simply use that essay as a template to build your own arguments.

You can also use these solutions:

- As a reference for in-depth understanding of the subject.
- As a source of ideas / reasoning for your own research (if properly referenced)
- For editing and paraphrasing (check your institution's definition of plagiarism and recommended paraphrase).

#### STUCK WITH YOUR PAPER?

### Order New Solution. Quick Turnaround

Click on the button below in order to Order for a New, Original and High-Quality Essay Solutions.
New orders are original solutions *and precise to your writing instruction requirements. Place a New Order using the button below.*

WE GUARANTEE, THAT YOUR PAPER WILL BE WRITTEN FROM SCRATCH AND WITHIN A DEADLINE.