Ask question

Ask question

All categories

3 years ago

14

Find the intergration as 0 approaches 3

1 answer:

Nuetrik [128]3 years ago

6 0

You have to integrate two equations, one for the case where the value in the absolute signs is negative and one for the case where the value is positive...

So you will integrate one on the interval 0 to 1 and the other on the interval from 1 to 3...

⌠-x+1 dx, x=[0,1] + ⌠x-1 dx, x=[1,3]

(-x^2/2+x)[0,1] + (x^2/2-x)[1,3]

(-0.5+1)+(4.5-3-0.5+1)

(0.5)+(2)

2.5 u^2

You might be interested in

A product tester measures four different sizes of shampoo bottles to see if they are filled accurately. The table shows the resu

yarga [219]

By comparing the percent error in all sample, the sample with least percent error is sample 2

Step-by-step explanation:

Percent error is calculated using the formula:

$Percent\ Error = \frac{|Approx\ Value- Exact\ Value|}{Exact\ Value}*100$

The percent error in each sample needs to be calculated to find the bottle with least percent error

<u>Percent Error for Sample 1:</u>

Amount on bottle = 14 ounces

Actual amount in bottle = 13.7 ounces

Putting the values in the formula

$Percent\ Error = E_1 = \frac{|13.7-14|}{14}*100\\= \frac{|-0.3|}{14}*100\\= \frac{0.3}{14}*100\\=0.214*100\\=2.14\%$

<u>Percent Error for Sample 2:</u>

Amount on bottle = 24 ounces

Actual amount in bottle = 24.4 ounces

Putting the values in the formula

$Percent\ Error = E_2 = \frac{|24.4-24|}{24}*100\\= \frac{|0.4|}{24}*100\\= \frac{0.4}{24}*100\\=0.0166*100\\=1.66\%$

<u>Percent Error for Sample 3:</u>

Amount on bottle = 25 ounces

Actual amount in bottle = 25.8 ounces

Putting the values in the formula

$Percent\ Error = E_3 = \frac{|25.8-25|}{25}*100\\= \frac{|0.8|}{25}*100\\= \frac{0.8}{25}*100\\=0.032*100\\=3.2\%$

<u>Percent Error for Sample 4:</u>

Amount on bottle = 39 ounces

Actual amount in bottle = 40.2 ounces

Putting the values in the formula

$Percent\ Error = E_4 = \frac{|40.2-39|}{39}*100\\= \frac{|1.2|}{39}*100\\= \frac{1.2}{39}*100\\=0.307*100\\=3.07\%$

By comparing the percent error in all sample, the sample with least percent error is sample 2

Keywords: Samples, Percent errors

Learn more about samples and errors at:

#LearnwithBrainly

5 0

4 years ago

What is the area of a rectangle that has lenghts of 2/5 foot and 3/8

spin [16.1K]

0.15 as fraction or multiply 3/8 and 2/5

8 0

4 years ago

Read 2 more answers

Answer the following on my profile pleaseee

yawa3891 [41]

Answer:

h(x) = (x − 2)2(x + 4)(x − 1)

Step-by-step explanation:

I know this is the answer because I got it right on my test.

6 0

3 years ago

Pls help<br> simplify the expression<br><br> 8t^5*8t^5

dangina [55]

Simplified would be
64t^10

6 0

3 years ago

(12.9−3.1)×6.2−2+<img src="https://tex.z-dn.net/?f=4%5E%7B3%7D" id="TexFormula1" title="4^{3}" alt="4^{3}" align="absmiddle" cla

alexandr1967 [171]

The answer is -67.24

6 0

3 years ago