💬 👋 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

Graph the region between the curves and use your calculator to compute the area correct to five decimal places.

$ y = \tan^2 x $ , $ y = \sqrt{x} $

0.25142

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 1

Areas Between Curves

Campbell University

Oregon State University

Baylor University

Boston College

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

01:22

Graph the region between t…

02:42

01:24

01:45

Find the area of the regio…

03:57

00:51

$3-26=$ Graph the region b…

04:21

Use an appropriate change …

04:44

01:57

Use a graphing utility, wh…

02:53

we want to find the area of the enclosed region by these two functions. The 1st 1 in blue is why equals 10 X squared. And the 2nd 1 in green is why equals discreet of X. So using a graphing calculator we see, actually that there are many regions in fact are infinitely many regions. Oh, okay. And we see that they're in fact increasing in size. So if we were to try to increase, if we were to try toe out of all of these areas, it wouldn't even converge to a real number since we're adding numbers which are increasing in size. So instead what we're going to do is we're just going to zoom up on this first region here, and we're going to determine the area of this region. So let's do that. The area, as usual, we're going to be doing an integral area is equal to integral. We see that our points of intersection are X equals zero and X equals 0.749 We're going to do the top function minus the bottom function so screwed X minus 10 squared X dx. Now, where lot using graphic. We're allowed to use a calculator for this question. So plugging this into a calculator and rounding to five decimals gives us our answer of 0.2514 two as the area of the enclosed region.

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…

Graph the region between the curves and use your calculator to compute the a…

Find the area of the region that lies between the curves $y=\sec x$ and $y=\…

$3-26=$ Graph the region between the curves and use your calculator to compu…

Use an appropriate change of variables to find the area of the region in the…

Find the area of the region bounded by the given curves.

$ y = \tan …

Use a graphing utility, where helpful, to find the area of the region enclos…

Find the area of the region described in the following exercises.The reg…