All categories

3 years ago

Calculus. Find the area.

Mathematics

2 answers:

matrenka [14]3 years ago

6 0

Answer:

8/3 square units.

Step-by-step explanation:

First, visualize the area. You can refer to the attachment below.

To find the area then, we will integrate y from x = 0 to x = 2. Therefore:

$\displaystyle A=\int_0^2x^2\, dx$

Integrate:

$\displaystyle A=\frac{1}{3}x^3\Big|_{0}^2$

Evaluate:

$\displaystyle A=\frac{1}{3}[2^3-0^3]=\frac{1}{3}(8)=\frac{8}{3}$

The area is 8/3 square units.

Irina18 [472]3 years ago

5 0

Answer:

<em>A = </em> $\frac{8}{3}$ <em> units²</em>

Step-by-step explanation:

You might be interested in

Need Help with these problems can so,e some explain and give me the answers.

kotegsom [21]

Answer:

there you go all the answers

4 0

4 years ago

How many 150 mL glasses can I fill with 5 bottles of soft drinks each hold 1.2 L

Liono4ka [1.6K]

Answer:

<h2>you can fill 40 (150ml) glasses with 5 bottles of soft drinks</h2>

Basic fact:

<em>there are 1000 ml in a litre</em>

Step-by-step explanation:

let us do

5 x 1.2

= 6

now let's turn 6 litres in ml

6 x 1000

=6000

now we need to do

6000/150

instead of doing such big numbers, lets do

600/15

=40

8 0

2 years ago

Read 2 more answers

Find the area of the shaded sector of the circle

sweet-ann [11.9K]

Answer:

119.78 square m.

Step-by-step explanation:

$d = 28 \: m \implies \: r = 14 \: m \\ central \: \angle \:( \theta) \\ = 180 \:degree - 110 \degree \\ = 70 \degree \\ \\ area \: of \: sector \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{70 \degree}{360 \degree} \times \frac{22}{7} \times {14}^{2} \\ \\ = \frac{7}{36} \times \frac{22}{7} \times 196 \\ \\ = \frac{7}{36} \times \frac{22}{1} \times 28 \\ \\ = \frac{7}{9} \times 22 \times 7 \\ \\ = \frac{1078}{9} \\ \\ = 119.777778 \\ \\ = 119.78 \: {m}^{2} \\$

3 0

4 years ago

Arelli drank 2 3 liter of water Monday before going jogging. She drank 5 7 liter of water after her jog. How much water did Arel

bearhunter [10]

We have been that Arelli drank 2/3 liter of water Monday before going jogging. She drank 5/7 liter of water after her jog. We are asked to find the amount of water that Arelli drink altogether.

To find the amount of water that Arelli drink altogether, we will add amounts of water drank before going to jogging and after the jogging.

$\text{Amount of water that Arelli drink altogether}=\frac{2}{3}+\frac{5}{7}$