In the field of calculus there is an opposite function to differentiation. What is the name of this function that is used to determine the area under a curve?

Integration
Separation
Agglutination
Conglomeration

Answers

Answer 1

Answer:

Integration

General Formulas and Concepts:

Calculus

Integration

IntegralsIntegration TechniquesAntiderivativesArea under the curveApplication of Integration

Step-by-step explanation:

Integration is known as the "opposite" to differentiation. Integration is essential coined "antiderivatives" for being so.

Applications of Integration include finding the area under a curve; area between 2 curves; volumes of revolution; surface area for cartesian, parametric, and polar graphs; arc length for cartesian, parametric, and polar graphs; and the Integral Test for series convergence.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e


Related Questions

If f (2) = 60 – 5.
find x for f (x) = 13

Answers

Answer:

The required value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Given,

f (2) = 60 – 5

      = (30 X 2) - 5

∴ f (x) = [tex]30x-5[/tex]

Again,

f (x) = 13 [given]

[tex]30x-5=13\\or, 30x= 13+5\\or, 30x=18\\or, x=\frac{18}{30} \\\\or, x=\frac{3}{5} \\[/tex]

∴[tex]x=\frac{3}{5}[/tex]

Verification:

f (x) = [tex]30x-5[/tex]

∴ f ([tex]\frac{3}{5}[/tex]) = (30 X [tex]\frac{3}{5}[/tex]) - 5

         = 18 - 5

         = 13

∴ The required value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]

I'LL GIVE 25 POINTS!!!

Min has a shelf filled with books. The books have different thicknesses. This line plot shows the thickness of each book. He piles the four thickest books on top of each other.

How thick is the pile?

Enter your answer as a mixed number in simplest form.

Answers

Answer:

I believe it is 2 3/8 if not I'm sorry for being wrong

Answer:

3 1/2

Step-by-step explanation: I took the test. I hope this helps! (it's right please give brainliest)

What is the answer to the photo down below

Answers

Answer:it's A

Step-by-step explanation:

1. The diameter of a cylinder is 48 meters. What is the radius?​

Answers

Step-by-step explanation:

diameter of cylinder is 48m

radius= diameter/2

48/224m

stay safe healthy and happy.

Answer:

24 meters

Step-by-step explanation:

1. Radius is half of a diameter

2. d = 48 meters

3. r = d/2 = 48/2 = 24 meters

PLEASE HELP! I'M GIVING 100 POINTS!

The depth of the deepest part of a body of water is 25,344 inches. Express this depth in scientific notation using an appropriate unit from the given list. What is the most appropriate unit for expressing the​ depth? What is the​ depth?
1 centimeter
10 millimeters
1 meter
100 centimeters
1 inch
2.54 centimeters
Select the correct choice below. If​ necessary, fill in the answer box to complete your choice.
​(Use scientific notation. Use the multiplication symbol in the math palette as​ needed.)
A.
The most appropriate unit is the meter. The depth is
nothing meters.
B.
The most appropriate unit is the millimeter. The depth is
nothing millimeters.
C.
The most appropriate unit is the centimeter. The depth is
nothing centimeters.
D.
The most appropriate unit is the inch. The depth in inches is given.

Answers

Answer:

meter probably

Step-by-step explanation:

I think it’s meter, cuz the other options are mainly used for smaller amounts.

HELP ASAP! I need the answer to all 3 of these questions.

If f(x)=3x+2, find f(8).

If f(x)=3x+2, find f(-2)

If f(x)=3x+2, find f(-2)

Answers

Answer:

I think that number one is 26, two is -4, and three is -4

Step-by-step explanation:

To solve for number one replace 8 with (x) so 3(8) + 2. 3 x 8 = 24 and 24+2 = 26

Numbers 2 and 3 appear to be the same problem so just do 3(-2) + 2 (Because you replace the number with the x) 3(-2) = -6 + 2 = -4!

I hope that helped!

Could someone please help me with this? Show all your work & I would mark you Brainliest:)

Answers

Answer:

An = 6 + (n-1)5

A25 = 120

Step-by-step explanation:

Given sequence;

6 , 11 , 16 , 21 , 26 , .......

Find:

25th term

Computation:

First term of AP (a) = 6

Common difference (d) = a2 - a1

Common difference (d) = 11 - 6

Common difference (d) = 5

An = a + (n-1)d

So,

An = 6 + (n-1)5

So,

If n = 25

A25 = 6 + (25 - 1)5

A25 = 6 + (24)5

A25 = 6 + 120

A25 = 120

Write the equation of a circle with radius 9 and center (6, –4) in standard form.

Answers

The answer:

(x–6)²+(y+4)²=81

factor each polynomial
-28y^2-12y^5

Answers

Answer:

y=[tex]-\frac{\sqrt[3]{63} }{3}[/tex]

y=0

Step-by-step explanation:

− 4 [tex]y^{2}[/tex] ( 3 [tex]y^{3}[/tex] + 7 )

-4[tex]y^{2}[/tex] =0,     ( 3 [tex]y^{3}[/tex] + 7 )=0

[tex]y^{2}[/tex] =0         3[tex]y^{3}[/tex] =-7

y=0            [tex]y^{3}[/tex] =[tex]\frac{-7}{3}[/tex]

                   y=[tex]-\frac{\sqrt[3]{63} }{3}[/tex]

                   

               

Choose the correct formula for combination.
A . n!/r!(n-r)!
B. n!/(n-r)!

Answers

Answer:

B

Step-by-step explanation:

The number of combinations of n objects taken r at a time is determined by the following formula: C(n,r)=n!/(n−r)!

Answer: The answer is A n!/r!(n-r)!

search it up

Louis buys a motor bike of price of R17500 he pays a deposit and will repay the balance in equal instalments over a period of 3 years simple interest is calculated on the balance at rate of 9.6 p.a .

calculate the balance due after he paid the deposit
calculate the balance payble on the balance
calculate monthly instalments ​

Answers

Answer:

b

Step-by-step explanation:

THis one too please in the pic ill give brainlesslt

Answers

Answer:

25

Step-by-step explanation:

80% of 25 is 20

20 / 0.8 = 25

Check:

20/25 = 0.8 = 80%

Answer: OHHH lol this is 6th grade math- its the last choice D. 25

Step-by-step explanation:

Ehhh I done with 6th grade that's how I know -_-

What type of quadrilateral has the vertices A(3 , 6), B(3 , 3), C(6 , 3),and D(6 , 6)

Answers

Answer:

It is a square.

Step-by-step explanation:

Background:

With this, lets find the distance between each of the shape's points, in order to find which shape it is.

Here's the distance formula, its a bit overkill for what you're doing right now, but it may help you with questions later on.

d=√(x2​−x1​)2+(y2​−y1​)2

Process:

​So with this, compare the distance between each of the points. With Point A, it is (3, 6) with Point B it is (3,3). The change between these two points is down 3.

Next, with Point B (3,3) and Point C (6,3). The change between these two points is right 3.

Then, with Point C (6,3) and Point D (6,6). The change between these two points is up 3.

Last, with Point D (6,6) and Point A (3,6). The change between these two points is left 3.

Reasoning:

From this, we can see that all of the distance lengths are 3 units and that each of them create 90 degree angle turns*.

*You can find this by noting that the total amount of a rotation is 360 degrees, so when you change walking from up to the right, you are turning 90 degrees to do so.

Answer:

With this information in mind, it can be named a square given the definition of square:

"A regular quadrilateral, which means that it has four equal sides and four equal angles."

https://en.wikipedia.org/wiki/Square

. A Shopkeeper sells 81,590 bicycles in the month of June, he sells 61,753 3-Marks bicycles in the month of July, in the month of august he sells 9152 less than what he sold in July. How many bicycles are sold in 3 months?

Answers

Answer: 195,944 bicycles

Step-by-step explanation:

First find the number of bicycles sold in August.

August sales - July sales - 9,152

= 61,753 - 9,152

= 52,601 bicycles

The number of bicycles sold in 3 months is:

= June sales + July + August ,

= 81,590 + 61,753 + 52,601

= 195,944 bicycles

Find the area of the figure to the nearest thousandth

Answers

Answer:

Total Area = 236.715 sq ft

Step-by-step explanation:

this is a composite figure made up of a circle and a rectangle; find the area of each and then add them together

A(circle) = πr²

= π(7.5²)

= 176.715

A(rectangle) = 15(4) which is 60

Total Area = 236.715 sq ft

The picture shows a figure.
5 ft
2 ft
2 ft
8 ft
7 ft
Make an equation to show the area of figure?

Answers

Answer:

1,270

Step-by-step explanation:

you are going to multiply all the numbers by the answers example: 2 ×2=4 ×5 =20×8=160×7 = 1,270

Can someone give me the answers for this ?

Answers

Answer:

vertical angles

Step-by-step explanation:

angles 6 and 7 are formed by the same two lines and are on opposite sides  of the intersection point

Answer

Step-by-step explanation:

please please please help me ill mark you brainlist last question

Answers

Answer:

B. SF=1/2 (image was reduced)

Step-by-step explanation:

10 mi
7 mi
7 mi
I need the volume for

Answers

Step-by-step explanation:

multiply length, width and height. 7x7x10=197.33

I need help on this question

Answers

Answer:

I think you need to combine the equations, which would end with 26x - 2, and to solve for x just isolate it by adding to the other side which would look like 26x = 2

Then divide 26 on both sides, 26x/26 = 2/26

You should end with x = 1/13

Drag each equation to the model and situation it matches.
(Picture) *I will give a brainliest

Answers

Answer:

First model gets the equation: y = 2 . 2^z

Second model gets the equation: y = 4^z

Third model gets the equation: y: = 4 . 2^z

Find the value of f(-2)

Answers

Answer:

f(-2) = 3.

Step-by-step explanation:

Reading off the graph, f(-2) = 3.

what is the answer to ?+?x?=58

Answers

Answer:8+10X5=58 or 3+5x11=58

Step-by-step explanation: hope it help

Si el diametro de la Tierra es de 12 756 kilometros , ¿Qué tienes que hacer para saber cuál es la medida de su circunferencia

Answers

Answer:

40079 Km

Step-by-step explanation:

La circunferencia de la tierra está dada por;

C = 2πR

Dónde;

R = radio de la tierra

Tenga en cuenta que;

R = D / 2

Por eso;

C = 2πD / 2

C = πD

C = 3.412 * 12756 kilómetros

C = 40079 Km

Round answers to the nearest tenth if necessary.

1. the measure of arc JI is ?? degrees

2. the measure of arc IJH is ?? degrees

3. the measure of angle IKH is ?? degrees

Answers

Answer:

a) mJI = m∠JKI = 125°, same measure as central angleb) mIJH = 360° - (180° - 125°) = 305°, same as central angle ∠IJHc) m∠IKH = 180° - 125° = 55°, supplementary with ∠JKI

What's 2 + 2 I need to know!!!!!

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The ratio of solid beads to clear beads in a vase is 820. Select all the correct statements that tell if the operations will give an equivalent ratio.

Answers

Answer: C) Multiply the number of solid and clear beads by 2.

D) Divide the number of solid and clear beads by 4.

E) Multiply the number of solid and clear beads by 18.

Step-by-step explanation:

Multiplication and Division are the two arithmetic operations that are used to get an equivalent ratio or fraction.

So, the operations that will give an equivalent ratio are Multiplication and Division.

So that correct options are

C) Multiply the number of solid and clear beads by 2.

D) Divide the number of solid and clear beads by 4.

E) Multiply the number of solid and clear beads by 18.

Select the perfect square trinomial from among the options below!
you will be marked as brainliest

Answers

A ) ( x - 3 )( x + 1 ) [ not perfect ]

B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]

C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]

D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]

Thus the correct answer is option D .

Answer ;(D) 2- 12+36

24. (01.05)
What is the equation of a horizontal line passing through the point (1, 14)? (1 point)
A: y = 1
B: y = 14
C: x = 1
D: x = 14

Answers

Answer:

x=1 I believe

Step-by-step explanation:

The following data represents the amount of snow snow that fell in a week.
Daily snowfall
Day
Snowfall (inches)
Sunday
9
Monday
7
Tuesday
6
Wednesday
10
Thursday
3
Friday
4
Saturday
6
The median of the numbers is

Answers

The median of the numbers is 6.
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