Calculus. Find the area.

Calculus. Find The Area.

Answers

Answer 1

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:

[tex]\displaystyle A=\int_0^2x^2\, dx[/tex]

Integrate:

[tex]\displaystyle A=\frac{1}{3}x^3\Big|_{0}^2[/tex]

Evaluate:

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

The area is 8/3 square units.

Calculus. Find The Area.
Answer 2

Answer:

A = [tex]\frac{8}{3}[/tex] units²

Step-by-step explanation:

Calculus. Find The Area.

Related Questions

PLEASE HELP ONLY IF YOUR FOR SURE!! <3 What is the value of x in the figure?

Enter your answer in the box.

x =

Answers

Answer:

68. We just subtract 22 from 90

Can any one help me on this question ?

Answers

Answer:

70°

Step-by-step explanation:

2x +x + 80° + 70° = 360° { being sum of angles of quadrilateral }

3x + 150° = 360°

3x = 360° - 150°

3x = 210°

x = 70°

Hope it will help :)

Answer:

70

Step-by-step explanation:

Since sum of all angles in a quadrilateral is 360°

angle P+ angle Q + angle R + angle S= 360°

80+70+x+2x=360

3x= 360-150

3x = 210

x = 210/3

x= 70

Find a. Round to the nearest tenth.

Answers

Answer:

use for formula a^2+b^2=c^2 to execture

*" ^ "  means square or to the power of two

Step-by-step explanation:

Which pair of numbers has a sum of 100?

( A) 39,61

(B) 49,61

(C) 59, 51

(D) 39,51

Answers

Answer:

a

Step-by-step explanation:

 39+61 is the only pair that make 100.

Help asap!!!!

Around which line would the following cross-section need to be revolved to create a sphere?

circle on a coordinate plane with center at 1 on the x-axis and a radius of 1

y = x
y-axis
x = 1
y = 1

Answers

Answer:

I believe your answer would be y=1.

Step-by-step explanation:

The circle is located with its point on 1 of the x axis, and the cross section would be pulled straight from that term. So the cross section would need to be revolved around y = 1, instead.

This is just my best guess, so I hope it helps!

To get a sphere, we need to do a revolution around the line x = 1.

Which line should we use?

The line that we must use must be a line that divides the circle in two equal parts, so it must pass through its center.

We know that the center of our circle is the point (1, 0).

With that in mind, the two lines that we know that will divide the circle in two equal parts are:

y = 0x = 1

(There are more lines, the above two are the simplest ones).

The only one that appears on the options is x = 1, so that is the correct option.

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774

The freshman convention was held at the activity center with 12 567 seats. If 120 seats were not occupied. How many seats were occupied?​

Answers

The answer would be 12447 seats were occupied

Hope this helps

Have a great day/night

Feel free to ask any questions

Find slope. I NEEDDDD HELPPPPP IMA MARK BRAINLIESTTT

Answers

-1/3


hope this helps :)

Answer:

-1/3

Step-by-step explanation:

You buy 3 shirts and 1 pair of pants for $32Your friend buys 2 shirts and 3 pairs of pants for $40.

Answers

Answer:

Each shirt costs $8 and each pair of pants costs $8

Step-by-step explanation:

3+1=4

32/4=8

2+3=5

40/5=8

A collection of dimes and nickels is worth 3.30. if there are 42 coins in total how many of each kind of coin are there?

Answers

Answer:1 nickels =$0.05

1 dime= $0.1

Step-by-step explanation:

1 nickels =$0.05

1 dime= $0.1

let the number of nickels be x and that of dimes be y.

total number of coins is given by:

x+y=42

hence:

y=42-x.......i

total amount of cash will be:

0.05x+0.1y=3.30.........ii

substituting i in ii we get:

0.05x+0.1(42-x)=3.30

0.05x+4.2-0.1x=3.3

-0.05x=-0.9

x=-0.9/(-0.05)

x=18

hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24

triangle ABD~ triangle DBC the perimeter of triangle ABD=36, fond the perimeter of triangle DBC.

Answers

Answer:

Perimeter of ΔDBC = 48 units

Step-by-step explanation:

It's given in he question,

ΔABD ~ ΔDBC

Therefore, by the definition of similar triangles,

Corresponding sides of both the triangle will be proportional.

[tex]\frac{AB}{DB}= \frac{BD}{BC}= \frac{AD}{DC}[/tex]

[tex]\frac{9}{12}= \frac{12}{16}= \frac{AD}{DC}[/tex]

[tex]\frac{3}{4}=\frac{AD}{DC}[/tex]

AD = [tex]\frac{3}{4}DC[/tex] ----------(1)

Since, perimeter of ΔABD = 36,

AB + BD + AD = 36

9 + 12 + AD = 36

AD = 36 - 21

AD = 15

From equation (1),

15 = [tex]\frac{3}{4}(DC)[/tex]

DC = 20

Perimeter of ΔDBC = DB + BC + DC

                                = 12 + 16 + 20

                                = 48

Therefore, perimeter of ΔDBC = 48 units is the answer.

Find the area of a regular pentagon with an apothem of 8.95 cm and a side length of 13 cm. (round to the nearest whole number)

Answers

Answer:

C) 291 cm^2

Step-by-step explanation:

Sorry it took me so long to answer, but I am taking a test with this question and I want to make sure I got it right on the test before I gave you the answer.

The test I am taking is on USA TESTING and I got 100

Evaluate the expression and enter your answer below.

6^2-3

To the power ​

Answers

Answer:

[tex]33[/tex]

Step-by-step explanation:

[tex]6^2-3[/tex]

First we do 6^2:

[tex]6^2\\6*6=36[/tex]

Now we have to subtract by 3:

[tex]36-3=33[/tex]

33 is your final answer.

6^2-3

Start by doing the power

6^2 = 36

Now subtract by the number 3 to get our answer

36-3=33  (Answer)

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Ashley made 2 out of 4 total shots. What percent of her shots did she make?

Answers

Answer:

50%

Step-by-step explanation:

2 divided by 4 is .5

.5 ×100 =50

if you simplify in fraction form it would be 2/4 equals 1/2 which would still give you the same answer

pls I neeeed to ace this test.

Answers

Answer:

but

Step-by-step explanation:

moreover is more of a transition that means "also"

furthermore is used as a conclusion

Answer:

But

Step-by-step explanation:

Im pretty sure is the right answer is but it could be while to but is not an option so im a 100% sure is A-But

Please help with ALEKS >-< ..................................

Answers

Answer:

4.5

Step-by-step explanation:

From the file, we see that;

Horizontal distance from bottom of ladder to side of house = 2

Length of ladder leaning against side of the house = 4 m.

Now we want to find the distance from the top of the ladder to the ground which we can call d.

Thus we can find it from pythagoras theorem.

d = √(2² + 4²)

d = √(4 + 16)

d = √20

d = 4.47

To the nearest tenth gives;

d = 4.5

A store wants employees to start wearing uniforms to work. The plans to purchase the uniforms and hand out 5 uniforms to every employee one for each day or the week. Uniforms come in packs of 8, and the store plans to purchase 56 packs of uniforms. How many employees can the store give uniforms to?

Answers

Answer:

89 employees

Step-by-step explanation:

Uniforms come in packs of 8, and the store plans to purchase 56 packs of uniforms.

This means

1 pack = 8 uniforms

56 packs = x uniforms

Cross Multiply

x = 56 × 8 uniforms

x = 448 uniforms

The plan is to hand out 5 uniforms to every employee one for each day or the week.

Hence, the number of employees that the store can give can uniforms to is calculated as:

5 uniforms = 1 employee

448 uniforms = x employees

Cross Multiply

5x = 448 × 1 employee

x = 448/5

x = 89.6 employees.

Since a person cannot be represented by decimal, the store can give uniforms to 89 employees

Determine the number of operations needed to solve 7c = 84

Answers

Answer:

12

Step-by-step explanation:

7c=84

c=84/7

c=12

Answer:

2

Step-by-step explanation:

You need division and multiplication (division for 84/7 and multiplication to identify 7c = 7 x c), which means 2.

Hope that helps!

Find the remainder when 2x^3 + 15x^2 + 31x + 12 is divided by (x-1)​

Answers

Answer:

1/

2 3 15 2 31 12

2 1 14 -12 43

__________________

2 1 14 -12 43 -31

so the answer is r=-31

Answer:

remainder = 60

Step-by-step explanation:

Given f(x) divided by (x - h) then the remainder is f(h)

f(x) = 2x³ + 15x² + 31x + 12 , then

f(1) = 2(1)³ + 15(1)² + 31(1) + 12

     = 2 + 15 + 31 + 12 = 60 ← remainder

PLS HELP ASAP!!! 30 POINTS (a) What is m<3 ? (b) What is ?
PICTURE BELOW PLS ANSWER IN COMPLETE SENTENCES

Answers

Answer:

ACTUA,LY ITS

Step-by-step explanation:

2222

Step-by-step explanation:

angle 3 = 180-20-57 =103

angle 4 = 180 - 103 = 77

Which number line represents the solution to the inequality x - 3 > 2

Answers

Answer: x > 5

Step-by-step explanation: To solve for x in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.

Since 3 is being subtracted from x, we add 3 to

both sides of the inequality to get x > 5.

When graphing x > 5, we have an open circle on 5 and the

open circle tells us that 5 is not part of our answer.

Then we draw an arrow going to the right to represent

all possible solutions to this inequality, any number greater than 5.

YALL WHAT IS THE ANGLE OF C
65
65

Answers

Answer:

A,G

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

In parallelogram BCDE if m EBC=45 find m DEB

Answers

Answer:

x = 135

Step-by-step explanation:

parallelograms have supplementary angles

180 - 45 = 135

Answer:

x = 135 degrees

Step-by-step explanation:

Because this is a parallelogram, the opposite sides are parallel

45 and x = 180 because they are corresponding congruent angles

180-45=135

Jon and Keith save money at the end of each month and begin saving money at the same time . Jon's savings after m months are modeled with the formula f(m) = 40m + 20 Keith's savings after m months are modeled with the formula g(m) = 35m + 45 At the end of how many months will they have saved the same amount of money ?

Answers

Answer:

g5654

Step-by-step explanation:

PLEASE HELP!!! I need an urgent answer and I'll give brainiest just please answer this easy question!

Answers

do like show in pic

hope it helps you

Which is equivalent to 72 inches?
O A 0.72 yards
O B. 2 yards
O c. 6 yards
O D. 7.2 yards
O E. 36 yards

Answers

the answer is B because there is 36 inches in 1 yard

Answer:

Its 2 yards

Step-by-step explanation:

divide 72 by 36

a b c d e f g h i j k l m n o p q r s t u v w x y z

Answers

Answer:

???

Step-by-step explanation:

Answer:

now i know my abc's

Step-by-step explanation:

The equations 3x - 4y = -2,4x-y-4, 3x+4y= 2, and 4x+y=-4 are shown on the graph below.
-5
0
5 X
Which is the approximate solution for the system of equations 3x+4y = 2 and 4x+y=-4?

Answers

Answer:b

Step-by-step explanation:

ILL MARK BRAINLIEST AND 20 POINTS FOR THE FIRST TO HELP! ITS DUE IN 10! PLEASE AND THANKS

Answers

Answer:

7/30

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

it’s a 14 out of 60 chance he draws a yellow. so 14/60 & in simplest form it’s 7/30

Please help giving brainliest

Answers

Answer:

this is a scalene triangle. we can see that none of the side lengths and none of the angles are equivalent to each other. that's why it's scalene.

A customer asked Crazy Dave to split a pie into sixths. This is what he did: Explain why he is wrong and show a correct way to do it.

Answers

Answer: He split it into unequal halves which would make his way wrong. the correct way to do it would be to cut it so all the lines met in the middle of the pie

Step-by-step explanation:

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