Find the area enclosed by the x-axis and the curve x = 4 + et, y = t − t2.

Answers

Answer 1

Find where the curve intersects the x-axis; this happens when y = 0:

y = t - t ² = 0   →   t (1 - t ) = 0   →   t = 0, t = 1

Then the area of the bounded region is

[tex]\displaystyle\int_0^1 y(t) x'(t)\,\mathrm dt=\int_0^1 (t-t^2)e^t\,\mathrm dt=\boxed{3-e}[/tex]

(you can compute the integral by parts)


Related Questions

Find the LCM of the pair of numbers. 15 and 21 The LCM is​

Answers

Answer:

105

Step-by-step explanation:

sry if my answer is wrong

Answer:

LCM=Least Common Multiple

Step-by-step explanation:

Let's use this:

1. LIST THE FIRST  MULTIPLES OF 15 AND 21. UNTIL YOU SPOT  A COMMON MULTIPLE

15:30, 45, 60,75, 90, 105,  120,

21:42, 63, 84, 105

105

Yeah!  105 is the LCM of these 2 numbers!

I hope this helps:)

Q3. If I = (P × R × T)/100, find T if I = 80 Rs, P = 400 Rs., R = 10 Rs. (2)
______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Answers

Answer:

hope it helps.........

find the area of the figure. use 3.14 for pi <3

Answers

Answer:

23.13m^2

Step-by-step explanation:

We'll use 3.14 for pi as instructed.

We can rearrange the figure to one square and 2 full circles.

Area of the square is 3m*3m = 9m^2

Area of a single full circle is pi*1.5m*1.5m = pi*2.25m^2 = 3.14*2.25m^2 = 7.065m^2

Full area = 9m^2 + 2*7.065m^2 = 9m^2 + 14.13m^2 = 23.13m^2

Answer:

23.14

Step-by-step explanation:

tto find the area of a circle itz A=πr

A=π1.5=7.07

3x3=9

7.07+7.07+9=23.14

Convert the following number to percent. 11/3. If needed, round to nearest hundredth.​

Answers

Answer: 27%

Step-by-step explanation:

prove this that the lll​

Answers

Answer:

hmm pray you will fine the answer.

Step-by-step explanation:

dunno can you please say details

Serena's mom is planning her birthday party. She bought balloons, plates, and cups. Serena's mom bought twice as many plates as cups. The number of balloons Serena's mom bought was half the number of cups.

Answers

Answer:

Cups = 24

Plates = 48

Balloons = 12

Total = 84

Step-by-step explanation:

Serena's mom is planning her birthday party. She bought balloons, plates, and cups. Serena's mom brought twice as many plates as cups. The number of balloons Serena's mom bought was half the number of cups. If Serena's mom bought 84 items, how many of each item did she buy.

Let

c = number of cups

Serena's mom bought twice as many plates as cups.

2c = number of plates

number of balloons Serena's mom bought was half the number of cups

0.5c = the number of balloons

Total items = 84

c + 2c + 0.5c = 84

3.5c = 84

Divide both sides by 3.5

3.5c / 3.5 = 84 / 3.5

c = 24

c = number of cups = 24

2c = number of plates = 2 * 24 = 48

0.5c = the number of balloons = 0.5*24 = 12

Cups = 24

Plates = 48

Balloons = 12

Total = 84

No Explanation Please Don't Answer

Answers

Answer:

A) [tex]\frac{1}{2}(9+15)w[/tex]

Step-by-step explanation:

Area of a trapezoid is [tex]\frac{1}{2}(base1+base2) *h[/tex]

[tex]A=\frac{1}{2}(9+15)*w[/tex]

What is the factored form of this expression?

x^2 + 6x − 16

Substitute numerical values into the expression for p and q.

Answers

Answer:

(x+2)(x-8)

Step-by-step explanation:

can you help me please ​

Answers

the correct answer is B 70

35 + 75 = 110

triangles always make up 180°

180 - 110 = 70

What is the value of L-12]?
-13
-12
o 13
3

Answers

Answer:12 is the answer for your question

NO BOTS OR SPAM PLEASE

Answers

Answer:

The answer is 18

Step-by-step explanation:

6 × 3=18

Hope it helped!!! Sorry it was late!!!!!

Anybody please help me

Answers

Answer:

reflection over the y axis

Step-by-step explanation:

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Independent then dependent

Step-by-step explanation:

Yes. YES!

Find the sum of the first 48 terms of the following series, to the nearest integer.
6, 9,12,...
6,9,12

Answers

Answer:

3,672

Step-by-step explanation:

Given the sequence 6, 9, 12...

The sequence is an arithmetic sequence

first term a = 6

common difference d = 9 - 6 = 12 - 9 = 3

number of terms n = 48

Sn = n/2[2a+(n-1)d]

Substitute the given values

S48 = 48/2[2(6)+(48-1)(3)]

S48 = 24(12+(3*47))

S48 = 24(12+141)

S48 = 24(153)

S48 = 3,672

Hence the sum of the first 48terms is 3,672

Which quantity is proportional to 35⁄80?

Answers

Answer:

7/16

Step-by-step explanation:

Answer:

7/16

Step-by-step explanation:

Simplify

A shirt is on sale for 30% off the original price of $85.00.
How much will the shirt cost, after the discount?
Hint: 30% is equivalent to 3/10 and .30



FAST RESPONSE PLEASE

Answers

Answer:

59.5

Step-by-step explanation:

30% of 85 is 25.5

85-25.5=59.5

Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.





mJKL = 230


area of shaded sector =


area of unshaded sector =

Answers

Answer:

Area of the unshaded sector = 113.4 sq units

Area of the shaded sector = 200.6 sq units

Step-by-step explanation:

First let us calculate the area of the circle

Area of the circle = πr²

radius r  = 10units

Area of the circle = π(10)²

Area of the circle = π(100)

Area of the circle = 3.14(100)

Area of the circle = 314 sq. units

Area of a sector = theta/360 * πr²

Area of the unshaded sector = 130/360 * 314

Area of the unshaded sector = 13/36 * 314

Area of the unshaded sector = 113.389 sq units

Area of the unshaded sector = 113.4 sq units

Area of the shaded sector = Area of circle - Area of the unshaded sector

Area of the shaded sector = 314 - 113.89

Area of the shaded sector = 200.6sq. units

HELPPP PLEASE 10th GEOMETRY NO LINKS only 4 questions

Answers

I don’t see the question

The drama club held a car wash on Saturday and Sunday. They washed a total of 60 cars. If they washed 24 cars on Sunday, what percent of the cars did they wash on Sunday?

Answers

Answer: 2.5%

Step-by-step explanation:

60 divided by 24 equals 2.5

Answer:

24

Since they washed a total of 60 cars, then according to the question they washed 40%(40 per cent) of 60 cars on Sunday.

Per

c

e

n

t

is simply per

h

u

n

d

r

e

d

or out of

h

u

n

d

r

e

d

.

We have to find out 40% of 60, which is

40

100

×

60

This is equal to

2400

100

=

24

00

1

00

=

24

Step-by-step explanation:

please follow me and make me brainlist

Can someone please show the answer and explain? tysm!

Answers

Answer:

B. 40°

Step-by-step explanation:

AB // ED       ∠ABC = ∠EDF = 50°

AC // EF        ∠AGE = ∠CAB = 90 - ∠ABC = 90 - 50 = 40°

A boat is heading due north at 15 mph. The current is flowing southeast at 5 mph. Find the actual bearing and speed of the ship

Answers

Answer:

3 Mph

Step-by-step explanation:

Have a nice day!

Lucas works for a salary of $2,396 per month. His deductions include $360 of federal income tax, $148 for Social Security, $35 for Medicare, and a $95 insurance premium. What is his monthly net pay?

Answers

Answer:

Lucas monthly net pay is $1758

Step-by-step explanation:

Lucas works for a salary of $2,396 per month.

His deductions include $360 of federal income tax,

$148 for Social Security,

$35 for Medicare, and

a $95 insurance premium.

Now,

2396 - 360 - 148 - 35 - 95 = 1758

Thus, Lucas monthly net pay is $1758

-TheUnknownScientist

whats the mean

8, 10, 10, 11, 16, 17, 18, 21, 41

Answers

Answer:its just going up

Step-by-step explanation:

Answer:

The numbers are going up.

Which graph represents a function with a domain of all numbers greater than or equal to -7 and less than 2? Your explanation should include all information about reading domain on a graph given the limitations. As well as how the different circles affects the notation on the graph when equal to and not equal to are used.

Answers

Answer: D.

Step-by-step explanation:

The way to know if it is “greater than or equal to” opposed to jsut greater than is to look at the dot. If it is filled in it is “equal to” if not it isn’t.

946 x 1/3
Please help!!​

Answers

Answer:

Sure! Your answer is about 315.33.

Step-by-step explanation:

If you want to figure this out by yourself, just open a calculator and do 946 * 0.33. You could also find this by dividing 946 by 3.

Please like and mark brainliest!

Hope it helps!


Which of the following is a solution to the system of
equations?
4 + y = -x
y = 2x - 10

Answers

Answer:

x=3, y= -6

Step-by-step explanation:

make 4+y= -x as equation (1) and make y=2x-10 as equation (2, then you must find a third equation either from equation (1)or (2). If you choose to find equation (3) from (2) it will be y=2x-10 , then substitute equation (3) from (1) because you can't choose (2) , then it will be 4+(2x-10)= -x

the answer will be x =2

substitute x from equation (3)

y=2x-10

y=2 (2)-10

y= -6

find the volume of a cone with a height 7 and radius 7

Answers

Answer:

359.19

Step-by-step explanation:

Using the formula V=(πr^2) * h/3 and plugging in the given values we get 359.19.

I estimated pi at about 3.14

Math is hard please help... 1st picture


isn't todoroki so cute? 2nd picture

Answers

Answer:

The new shape will be like the one that i have drawn for you , i think .

add two ( to base* from both sides of it * )

delete one ( from hights )

ask me question from it if u didn't understand this explanation :)

Answer:

yes todoroki is cute/handsome/hot/drop dead gorgeous and yes ima simp

Step-by-step explanation:

and i cant help you T^T

Need help ASAP please

Answers

Answer:

because the length is 4 feet more than the width

=> the length is x + 4 (feet)

because the base has an area of 21 square feet

=> x(x + 4) = 21

<=> x² + 4x = 21

gina drew three small congruent circles beside one large circle. based on the diagram which answer choice is the closest to the area of the large circle?

Answers

Answer:28.3 cm2

Step-by-step explanation:

Other Questions
someone please please help me with this I would really appreciate it with a explanation ! (No links ) On August 2, ABC Co. receives a $7,900, 90-day, 10.5% note from its customer who is past due on what he owes. This note is replaces the customer's $7,900 account receivable. Prepare ABC's journal entry assuming the note is honored by the customer on October 31 of that same year. (Do not round intermediate calculations. Round your answers to nearest whole dollar value. Use 360 days a year.) 1. A cardboard box is 5 feet long, 1.5 feetwide, and 2 feet high. Which of thefollowing answers is closest to thevolume of the box in cubic feet?A. 8.5 ft.3B. 15 ft.3C. 18 ft.3D. 24 ft.3 what type of intermolecular forces does ammonium lauryl sulfate have? Which expression is equivalent to(37) ?42-761 Discuss the teachers role as a model and participator in early childhood art How do you do the buss it challenge PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!! Find the area of the kite in square centimeters, 8cm 3.5cm 4.5cm 3.5 cm 25. Angie inherits a collection of 4213 antique duck-calls from her grandmother. If she goes around to yard sales and adds another 3 duck-calls to the collection every weekend, what's an equation that models her total collection?A) y = 3xB) y= 3x - 4213C) y= 3x + 4213D) y = 4213x+ 3 Which court system has general jurisdiction? What does that mean? A plumbing contractor charges a fee of $100 a visit and an additional charge of $50 per hour. Which equation can be used to find the number of hours x he worked if he gets paid $950 for a day's work? 2. the primary different between voluntary and coercive trade?(learning about money) what is ( 9 x 2/3 ) x 2/3 Place the Indian civilizations in chronological order from earliest to latest. Emma placed 100 golf balls in a bag. Thirty six of the golf balls were red 24 were blue and the rest were green . If Emma drew one golf ball from the bag without looking what is the probability that the golf ball was red Write a paragraph about a bus stand. Help me, i need someone to do this for me, i will give brainliest, five star and a thank you this is worth 100 points!!!! Plzzz help no links >:)Why does the population graph level out and then decline a bit? Is that pattern certain? What is it based on? 5. What other population growth patterns are possible What contributed most directly to the national mood, as interpreted by Carter?O uncertainty caused by the end of the Cold WarO stagflation, long gas lines, and distrust of government after WatergateO pride in the successes of the civil rights movementO the booming economy and a surge in civic participationMark this and return