💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

A manufacturer of corrugated metal roofing wants to produce panels that are 28 in. wide and 2 in. high by processing flat sheets of metal as shown in the figure. The profile of the roofing takes the shape of a sine wave. Verify that the sine curve has equation $ y = \sin (\frac{\pi x}{7}) $ and find the width $ w $ of a flat metal sheet that is needed to make a 28-inch panel. (Use your calculator to evaluate the integral correct to four significant digits.)

$L \approx 29.36$ inches.

Calculus 2 / BC

Chapter 8

Further Applications of Integration

Section 1

Arc Length

Applications of Integration

University of Nottingham

Idaho State University

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

03:44

A manufacturer of corrugat…

03:21

Your metal fabrication com…

01:06

Use a graphing calculator …

00:33

00:35

00:44

00:53

00:57

Set up an integral that re…

04:51

A one-lane highway runs th…

01:08

he has clearance. So when you married here, So we have we're gonna draw our metal roof. So why is equal to sign? Hi ex over a seven. So it represents the sheep off the metal roof. It has to have an amplitude of one since the thickness is too. In the period of four. Since we're defining 28 by two when we see that it satisfies both of these conditions. The period to pine divided by kind, divided by seven, which is equal to 14 pie. The amplitude is indeed one. So we're gonna go on to our blink formula, which is from 0 to 28. We have f of X is equal to sign with pi X over seven so the derivative is equal to pi co sign of pi X over seven over seven. So our equation for W It's from the integral from 0 to 28 square root of one plus hi co sign of pi X over a seven over seven square D X. When we use the calculator, we get 29.37 dreary 36 Excuse me

Numerade Educator

In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

A manufacturer of corrugated metal roofing wants toproduce panels that a…

Your metal fabrication company is bidding for a contract to makesheets o…

Use a graphing calculator or computer to draw the following parametrically d…

Set up an integral that represents the length of the curve. Then use your ca…

A one-lane highway runs through a tunnel in the shape of one-half a sine cur…

Set up an integral that represents the length of the curve.Then use your…