Mathematics College

Fundamental Theorem of Calculus and its application.​

Fundamental Theorem Of Calculus And Its Application.

Answers

Answer 1

Answer:

Step-by-step explanation:

The fundamental theorem of calculus can be applied to the proper integrals. I'm going to use the general formula:

[tex]\int\limits {x^n} \, dx =\frac{x^n^+^1}{n+1}[/tex]

I'm also going to assume you know the integrals of basic trig functions and 1/x. I cant prove them, you just have to know them.

a) [tex]y+\frac{3y^2}{2} -\frac{y^4}{4} +C[/tex]

b) ln|x| --> ln(6) - ln(3) = 0.69

c) sin(Ф) --> sin(2pi) - sin(0) = 0

d) [tex]2e^x[/tex] --> [tex]2e^l^n^(^6^)-2e^l^n^(^3^)=12-6=6[/tex]

Related Questions

please help, asap! ive tried everything to solve this and everything has been wrong so far.

Answers

Answer:

Step-by-step explanation:

$575.68

Tanya purchases gifts for two friends The first is a purse for $19.99, and the second is pair of shoot. Her total is $45.67 before tax, How much did she spend on the shoes?​

Answers

Answer:

$25.68​

Step-by-step explanation:

Cost of purse = $19.99

Cost of shoe pairs = x

Total cost = $45.67

Total cost = cost of purse + cost of shoe pairs

$45.67 = $19.99 + x

x = $45.67 - $19.99

x = $25.68

Hence, cost of shoe pair = $25.68

help if you can please

Answers

Answer:

The answer is 44

All Triangles add up to 180° so since you already have two of the three angles you add them up and subtract by 180 to find the missing angle which in your case Is E

Answer: 44 because the I side of a triangle equals 180

Can a triangle be formed with the sides lengths of 7 cm, 5 cm and 12 cm?

Answers

Answer:

NO because 7+5=12

The sum must be larger (not equal to) the longest side. If it's exactly the same, there's no room to for the shorter two sides to angle up to form a triangle.

To get an A in her math class, Jada needs to have at least 90% of the total number of points possible. The table shows Jada’s results before the final test in the class.
Jada’s points total points possible
row 1 Homework 141 150
row 2 Test 1 87 100
row 3 Test 2 81 100
row 4 Test 3 91 100
Does Jada have 90% of the total possible points before the final test? Explain how you know.
Jada thinks that if she gets at least 92 out of 100 on the final test, she will get an A in the class. Do you agree? Explain.

Answers

yes jada has 90% for her test because row 2 and 3 have 71 100

What is the area of this face?

please help!!!!

Answers

Answer:

it is 52 i did this ireafy before

Answer:

28 in^2

Step-by-step explanation:

overall face area =10x4=40

cutout area=6x2=12

40-12=28 in^2

y=-X+4
What is the slope and Y-intercept?

Answers

Answer:

Slope = 1 Y-intercept=4

Step-by-step explanation:

So. . . . what is ( 7 + 21 + 18 + 13 ) ?

Answers

Answer:

59

Step-by-step explanation:

Answer:

59 lol. Ty for the free points. Btw hello

Step-by-step explanation:

9 times 10 to the power of 7 is how many times as large as 3 times 10 to the power of 3

Answers

Answer:

30000

Step-by-step explanation:

9×10=90

90 power 7=90[10000000]

3×10=30

30 power 3=30[1000]

900000000÷30000=30000

At the local bank 60% of the employees have 2 or more children. There
are 240 employees that have fewer than 2 children. How many
employees does the bank have?
A 96
400
D600

Answers


2
x
=
596


x
=
596
2
=
298
So like 400

I need help with this problem please

Answers

Answer:

dang i wish i knew but i dont ,_,

A circle has a radius of 15 feet. What is the area of
the circle?

Answers

Answer:

A = 706.5 ft 2

Step-by-step explanation:

A = π ( 15  ft ) 2

A = π 225ft 2

A = 225 π  ft 2

A = 225 ⋅ 3.14  ft 2

Find the number that is exactly halfway between and
3/10 and 4/5

Answers

Answer:

0.550

Step-by-step explanation:

PLEASE HELP!! DUE TONIGHT!!!

Answers

Answer:

Step-by-step explanation:

Even ( I think)

positivie ( I think )

x intercept - (0,0)(-2,0)(-4,0)

y intercept - (0,0)

what is x? 6(x+2)=2(x-3)
(Also I need good explanation please im very bad with my negatives and postives)​

Answers

Step-by-step explanation:

the answer is -2

I'll explain in commets

Answer:

-9/2

Step-by-step explanation:

6(x+2)=2(x-3)

6x+12=2x-6

6x-2x+12=-6

4x+12=-6

4x=-6-12

4x=-18

x=-18/4

simplify

x=-9/2

Graduated containers are used to measure ingredients by weight. true or false

Answers

Answer:

false

Step-by-step explanation:

they are used to measure mL / L

I need help. I don't get this

Answers

Answer:

1) 2(x+1)(x+5)

2) (x-10)(x-4)

Step-by-step explanation:

what is the answer to this question

Answers

Answer:

0

Step-by-step explanation:

The answer is A srry if I’m wrong

A TV is listed for 35% off. If the original price was $550, what is the sale price?

Answers

Answer:

357.50$

Step-by-step explanation:

550 x 35% =192.50$

550 - 192.50 = 357.50$

How to calculate percent off?
Divide the number by 100 (move the decimal place two places to the left).
Multiply this new number by the percentage you want to take off.
Subtract the number from step 2 from the original number. This is your percent off number.

Which of the following fractions is smaller than
1/2

Answers

the answer is C: 3/7

Combine Like Terms:
2x + 3 - 5x + 8x + 3x2 + 2



Help please

Answers

Answer:

14x + 5

Step-by-step explanation:

group all the varaibles with x

2x - 5x + 8x + 3x^2

-3x + 8x + 9x

5x + 9x

=14x

now the regular numbers

3 + 2

=5

now put them together to get

14x + 5

Which value is the solution for this equation2
2(a + 3) -4

Answers

Answer:

a=-1

Step-by-step explanation:

2(a+3) -4

you bring it to the other side

2a + 6-4 so 2a+ 2

2a =-2

a =-1

Please solve this...................

Answers

Answer:

2 1/12.

Step-by-step explanation:

To solve this you have to find the least common denominator. You know that 4 and 6 can both go into 12 so 5/6 becomes 10/12 and 3/4 becomes 9/12. So now all you have to do is subtract. 7 10/12 - 5 9/12 = 2 1/12.

I hope this helps you :D

Answer:

24/2

Step-by-step explanation:

Hope it is helpful.....

I WILL MARK BRAINLIST, HELP PLEASE
#1.At the beginning of the season, McDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges.

Answers

The equation that represents the initial amount of range trees on MacDonald farm is 41790 = 210t - 1050.

The initial amount of trees is 204

How to form an equation ?

The equation that represents the initial amount of range trees on MacDonald farm can be calculated as follows;

Therefore,

number of trees presently = t - 5

Therefore,

41790 = 210(t - 5)

41790 = 210t - 1050

41790 + 1050 = 210t

42840 = 210t

t = 42840 / 210

t = 204

Therefore, the initial amount of trees is 204 .

learn more on equation here:https://brainly.com/question/2269904

#SPJ1

What is the answer??????????????????????

Answers

Answer:

I think so Yes

Step-by-step explanation:

The relationship between the number of grams of carbohydrates in a loaf of bread and the number of calories the loaf contains can be modeled by the equation y approx15x-25 where the number of grams of carbohydrates, and y is the number of calories. According to the model, which statements are correct? Select all that apply.

Answers

Answer:

A and C

Step-by-step explanation:

Slope of the equation is 15, that represents calories per gram of carbohydrate increased.

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Given equation,

y = 15x - 25

x is number of grams of carbohydrates in bread

y is number of calories in bread

Comparing it with y = mx + c

slope m = 15

y - intercept c = -25

Slope represents calories per gram of carbohydrate increased.

Hence, 15 is slope of the equation, which represents calories per gram of carbohydrate increased.

Learn more about linear equation here:

https://brainly.com/question/13738061

#SPJ2

A car averages 25 2/3
miles on a gallon of gas. How many miles can it travel on 8

Answers

205.28 miles is the correct answer

Answer:

205 1/3

Step-by-step explanation:

Because it travels an average of 25 2/3 on one gallon, you simply multiply it by 8 in order to find how many miles it travels on 8 gallons of gas.

If y = 5x-2 were changed to y = 3x-2how would the graph of the new
function compare with the first one?

Answers

Hi there! The answer is B. it would be less steep.

The change of the function (in this case) influences the slope of the line. Since we've modified the slope from 5 to 3/4, the line will be less steep.

In a marathon,mike finished ahead of fred.emma finished after fred.john finished after agnes and agnes finished later than emma.in what sequence did each of them finish the marathon?​

Answers

Answer:

Mike Fred Emma Agnes John

Step-by-step explanation:

Mike Fred Emma Agnes John

Create a list of the names in the order they're given and order them through the information provided.

Pls help now ok am tired

Answers

Answer: -9.5

Step-by-step explanation:

10 hope it’s that........
Other Questions
Plz answer will mark brainliest Read the excerpt below and answer the question.To be, or not to be: that is the question:Whether tis nobler in the mind to sufferThe slings and arrows of outrageous fortune,Or to take arms against a sea of troubles,And by opposing end them?()Thus conscience does make cowards of us all;And thus the native hue of resolutionIs sicklied oer with the pale cast of thought,And enterprises of great pith and momentWith this regard their currents turn awry,And lose the name of action. (Hamlet 3:1)Which of the following types of conflict occurs in the excerpt above?person vs. personperson vs. societyperson vs. natureperson vs. selfClick on the solution set below until the correct one is displayed. 200 POINTS In the poem, "In Spite of War," what does the speaker mean by a glory liveth through despair?Question 1 options:that war helps people achieve glorythat people become more glorious through hardshipthat life goes on even when bad things happenthat despair can make people strongerQuestion 2 (1 point) Read the last stanza of the poem In Spite of War.And in my ear a whispering breath, Wake from the nightmare! Look and see That life is naught but ecstasy In spite of war, in spite of death!What is the whispering breath that the speaker describes?Question 2 options:the reminder that hope is possible even in times of troublethe sound of renewed life within naturea voice that wakes the speaker up from sleep the message that war and death make life difficultQuestion 3 (1 point) In "The Colossus," who is the author referring to with the line Give me your tired, your poor, Your huddled masses yearning to breathe freeQuestion 3 options:exilesthe homelessimmigrantsAmericansQuestion 4 (1 point) In "The Colossus," what does the name Mother of Exiles refer to?Question 4 options:the speakerimmigrantsThe Statue of LibertyEllis IslandQuestion 5 (1 point) Recall that the first two lines of the poem The New Colossus allude to the ancient Greek statue of Colossus of Rhodes.Not like the brazen giant of Greek fame,With conquering limbs astride from land to land;What does this allusion represent?Question 5 options:a place where everyone was welcomea place where citizens were unhappya place where wars were often foughta place where outsiders were not welcome AdeThe point shown on the map is located nearest which natural barrier between China and other areas? What is the answer?????????????????????? At the local bank 60% of the employees have 2 or more children. Thereare 240 employees that have fewer than 2 children. How manyemployees does the bank have?A 96400D600 What ages are Middle childhood children? giving brainiest for free ig HELP DUE IN 15 MINS!Which postulate/theorems can be used to prove triangles are congruent? (multiple answers should be selected)SSSSASSSAAAAASAAASHL The newspaper headline below describes an event in U.S. history. Based on the headline, what happened before the event presented in the image u.s. is voted dry? Question 9 options: The president forwarded the amendment to the states after Congress voted to support it. The president rejected the amendment after Congress voted to support it. Two-thirds of each house of Congress voted to support the amendment. Three-fourths of each house of Congress voted to support the amendment. A relay race is 1 3 4 miles long. Each relay team has 4 runners. If each runner runs the same distance in the race, how far will each runner run? Please solve this................... Calculate the compound interest on investing $8500 for 3 years at 8% annum please urgent please beg I need help with this problem please What transformation is shown in the diagram? According to John Locke, liberty includes the right to At the end of meiosis stage 2, you had 4 ______ gametes. Fill in the blank. Misty purchased a car several years ago for 21,459. The value of the car depreciated at a rate of 15% annually. What was the value of the car after 5 years? Round your answer to the nearest whole dollar.Misty purchased a car several years ago for 21,459. The value of the car depreciated at a rate of 15% annually. What was the value of the car after 5 years? Round your answer to the nearest whole dollar. PLEASE HELP ME WITH THIS I HAVE BEEN ON THIS QUESTION FOR SO LONG