intergrate, e^-x (e^-½) with limits from 0 to π​

Intergrate, E^-x (e^-) With Limits From 0 To

Answers

Answer 1

Answer:

Step-by-step explanation:

First off, your written problem doesn't match the one you typed. The written problem doesn't have a solution, so I'm going with the typed one (cuz I can solve that one!).

Begin by noting that [tex]e^{-\frac{1}{2}[/tex] is a constant and can be pulled out front of the integration symbol:

[tex]e^{-\frac{1}{2}}\int\limits^\pi _0 {e^{-x}} \, dx[/tex]

Choose u = -x, so du/dx = -1 and -du = dx. Put that - out front along with what's already there to get:

[tex]-e^{-\frac{1}{2}}\int\limits^\pi _0 {e^{-u}} \, du[/tex]

The antiderivative of e^-u is e^-u, so putting it all together and applying the First Fundamental Theorem of Calculus:

[tex]-e^{-\frac{1}{2}}(e^{-\pi }-e^0)[/tex] which simplifies to

[tex]-e^{-\frac{1}{2}}(e^{-\pi }-1)[/tex] which simplifies to

[tex]-e^{-\pi -\frac{1}{2}}+e^{-\frac{1}{2}}[/tex] which has a decimal equivalency of .5803200934


Related Questions

Two angles are supplementary. One of the angles measures 4(2x+9)and the other angle measures 2(4x−8). What is the value of x?

Answers

Answer:

x=10

Step-by-step explanation:

4(2x+9) +2(4x-8) = 180 >> sumpplementary angles .

16x = 180 -36+16

16x=160

x=10

What are some of the consequences the employee face

Answers

Answer:

rude customers and complaints

Answer:

Ignorant managers.

Step-by-step explanation:

Ignore them

Find somewhere else to move.

Collect the like terms: 5a + 2b + b - 2a​

Answers

Answer:

5a+2b+b-2a

5a-2a+2b+b

3a+3b

Select the correct answer from the drop-down menu.
Rewrite the formula to find the radius of a sphere.
V=
= GT 73
The volume (V) of a sphere is given by the formula
The sphere's radius (() is
Reset
(3V/4pi)1/3
(4V/3pi)1/3
(3pi/4V)1/3

Answers

Answer:

The formula of a sphere is v= 4/3 pi root to the power of 3.

Step-by-step explanation:

The answer is B

Solve. 140% of 340 is what number?​

Answers

Answer:

The answer is 476

Step-by-step explanation:

hope this helps :)

Helmet Nemzek recieved a COLA of 2.3% on his weekly gross wages of $760 how much will helmet earn per week after the pay increase

Answers

Answer:

Step-by-step explanation:

$760(1.023) = $777.48

Select the graph which correctly displays the function f(x) = |x + 2|– 3.

graph 1
graph 2
graph 3
graph 4

Answers

Answer:

Graph 4

Step-by-step explanation:

I have to put more words lol

What is the domain of f(x)=(1/4)^x?

A. y > 0

B. x < 0

C. x > 0

D. All real numbers​

Answers

[tex] \huge \bf༆ Answer ༄[/tex]

The domain of given function is All real numbers

[tex] \sf \: f(x) = { \bigg( \dfrac{1}{4} \bigg) }^{x} [/tex]

For each value of x the function is defined.

Example -

For x = 1

The value is [tex] \sf\frac{1}{4}[/tex]

For x = -1

The value is 4

[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]

Area of a circle
You might need:
Calculator
What is the area of the following circle?
Either enter an exact answer in terms of or use 3.14 for it and enter your answer as a decimal.
T = 1
units

Answers

Answer:

If the radius is 1, then the answer is pi.

Radius=r=1

Area

πr²π(1)²1ππ3.14 units²

Answer the question based on this system of equations.

{x=y−5
6x−2y=22

Which of the following choices help to verify whether (7,12) is a solution to the system above?

Select all that apply.

Group of answer choices

1.) 7=12−5 is true.

2.) 7=12−5 is not true.

3.) 6(7)−2(12)=22 is true.

4.) 6(7)−2(12)=22 is not true.

Answers

Step-by-step explanation:

1.) 7=12 - 5 is true

4.) 6(7) - 2(12) = 22 is not true

Use the slope formula to determine the slope of the line containing the two points. Type your answer as an integer or reduced fraction in improper form if necessary.

Answers

Answer:

The slope is:

[tex] \binom{1}{2} [/tex]

In slope-intercept form the equation is:

[tex]y = \binom{1}{2} x - 3[/tex]

Which inequality represents this sentence?
A number is no less than 48.
n < 48
n > 48
n < 48
n>48

Answers

The inequality that can be used to represent the information that a number is no less than 48 will be n > 48.

Inequality simply means a mathematical expression that is used in which the sides aren't equal to each other.

It should be noted that the expression that a number is no less than 48 means the number is greater than 48. Therefore, the inequality is n > 48.

Read related link on:

https://brainly.com/question/25701252

Answer: The correct answer is n≥48

Step-by-step explanation: Give me the brainiest

Please help me, thanks

Answers

Answer:

D how many months until the total spent is the same for both gyms

Step-by-step explanation:

30m+50 = 10m+100

By setting the cost of gym A equal to gym B we are finding  how many months it is when the cost is the same

Answer:

How many months until the total spent is same for both the gyms

Step-by-step explanation:

Then

GYmA=GYm B30m+50=10m+100

We may solve it

20m=50m=5/2m=2.5months

option D

plsss answer my questions in the picture

Answers

Answer:

8. B

9. B

10. B

thats my answer

help on 37 pleaseee (geometry)

Answers

Answer:

Step-by-step explanation:

x = 127

y = 5

z = 31

Two hundred fifty tickets are sold at a fund raiser. If Sarah buys 15 tickets, the probability that she will win the prize quilt is
.

Answers

Answer:

6%

Step-by-step explanation:

15/250=3/50   or 6%

The probability that Sarah would win the prize quilt given the tickets she bought  is 6%.

What is the probability?

Probability is how likely it is that a stated event would happen. The probability of the event happening lie between 0 and 1.

The probability that Sarah would win the prize quilt = number of tickets bought / total number of tickets

(15 / 250) x 100 = 6%

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ2

3/8 + 1/8 + 2/3 - 1/2 =

Answers

Answer: 2/3 (answer in decimal form = 0.6)

Step-by-step explanation: The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. Then do the rest of the operations.

calc 3 iiiiiiiiiiiiiiiiiiiiiiiiiiii

Answers

Take the Laplace transform of both sides:

L[y'' - 4y' + 8y] = L[δ(t - 1)]

I'll denote the Laplace transform of y = y(t) by Y = Y(s). Solve for Y :

(s²Y - s y(0) - y'(0)) - 4 (sY - y(0)) + 8Y = exp(-s) L[δ(t)]

s²Y - 4sY + 8Y = exp(-s)

(s² - 4s + 8) Y = exp(-s)

Y = exp(-s) / (s² - 4s + 8)

and complete the square in the denominator,

Y = exp(-s) / ((s - 2)^2 + 4)

Recall that

L⁻¹[F(s - c)] = exp(ct) f(t)

In order to apply this property, we multiply Y by exp(2)/exp(2), so that

Y = exp(-2) • exp(-s) exp(2) / ((s - 2)² + 4)

Y = exp(-2) • exp(-s + 2) / ((s - 2)² + 4)

Y = exp(-2) • exp(-(s - 2)) / ((s - 2)² + 4)

Then taking the inverse transform, we have

L⁻¹[Y] = exp(-2) L⁻¹[exp(-(s - 2)) / ((s - 2)² + 4)]

L⁻¹[Y] = exp(-2) exp(2t) L⁻¹[exp(-s) / (s² + 4)]

L⁻¹[Y] = exp(2t - 2) L⁻¹[exp(-s) / (s² + 4)]

Next, we recall another property,

L⁻¹[exp(-cs) F(s)] = u(t - c) f(t - c)

where F is the Laplace transform of f, and u(t) is the unit step function

[tex]u(t) = \begin{cases}1 & \text{if }t \ge 0 \\ 0 & \text{if }t < 0\end{cases}[/tex]

To apply this property, we first identify c = 1 and F(s) = 1/(s² + 4), whose inverse transform is

L⁻¹[F(s)] = 1/2 L⁻¹[2/(s² + 2²)] = 1/2 sin(2t)

Then we find

L⁻¹[Y] = exp(2t - 2) u(t - 1) • 1/2 sin(2 (t - 1))

and so we end up with

y = 1/2 exp(2t - 2) u(t - 1) sin(2t - 2)

1.5 - x
0.4 = - 7.75

Answers

Answer:−0.6

Step-by-step explanation:

(-1).3/5=−0.6

Classify: −4m+21(m−1)≤15m+2(m−1).

Answers

Answer:

[tex]\boxed{\sf All\: real\: numbers}[/tex]

Step-by-step explanation:

[tex]\star \:\sf Classify\: -4m+21\left(m-1\right)\le \:15m+2\left(m-1\right)\: \star[/tex]

Apply Distribution law:

[tex]\sf -4m+21m-21\le \:15m+2\left(m-1\right)[/tex]

Combine like terms:

** [tex]\sf \hookrightarrow -4m+21m=17m[/tex]

[tex]\longmapsto\sf 17m-21\le \:15m+2\left(m-1\right)[/tex]

[tex]\sf 2(m-1)[/tex]

[tex]\hookrightarrow 2m-2[/tex]

-----------------------------------------

[tex]\longmapsto\sf 17m-21\le \:15m+2m-2[/tex]

Combine like terms:

** [tex]\sf 15m+2m=17m[/tex]

[tex]\longmapsto\sf 17m-21\le \:17m-2[/tex]

Add 21 from both sides:

[tex]\longmapsto\sf 17m-21+21\le \:17m-2+21[/tex]

[tex]\longmapsto\sf 17m\le \:17m+19[/tex]

Subtract 17m from both sides:

[tex]\longmapsto\sf 17m-17m\le \:17m+19-17m[/tex]

[tex]\longmapsto\sf 0\le \:19[/tex]

Therefore, the solution of the inequality: All real numbers

_____________________________________________

soooooooooooooooooooooooo who wants to help with mah math

Answers

Answer:

t = c · (3.5)  

Step-by-step explanation:

The rate of change is 3.5.

So it takes three and a half mins to make one plane

So 3.5 times the number of planes equals the total time it takes to make them.

I really hope this helps!

pls help me i will give u thanks

Answers

(+6,+5)
Hope this helps!!

Answer:

c) (6,5)

Step-by-step explanation:

The horizontal axis represents x values

The vertical axis represents y values

Pre college need help

Answers

Answer:

C

Step-by-step explanation:

Naomi can run 1/4 mile in 2 minutes. Does Amal or Naomi run faster? How do you know

Answers

Answer: Yes

Step-by-step explanation:

A: 12 minutesAnswer to B: 36 minutesAnswer to C:

Help help math please help help help help

Answers

Answer:

Answered is x= 55x

Step-by-step explanation:

13x+10 * 12x+20

soln:

or, 13x+12x+10+20

or, 25x+30

:., therefore, x=55x

$4800 is 60% of what number?

Answers

Answer:

8000

Step-by-step explanation:


I NEED HELP W THIS ASAP!!!!!

Answers

Answer:

[tex]18[/tex]

Step-by-step explanation:

[tex] \frac{28}{14} = 2 \\ \frac{36}{x} = 2 \\ x = \frac{36}{2} \\ = 18[/tex]

find the slope from the pair of the points
(-3,-4) (1,5)

Answers

Answer:

2.25

Step-by-step explanation:

m = 9 / 4 = 2.25

points belong to an increasing, linear function.

Equation: y = 2.25x + 2.75.

BRAINLIEST?

Given slope of −25 with point (-5,3), write the linear equation in Slope-Intercept Form.

Answers

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 3=-25(-5)+b[/tex]

[tex]\\ \sf\longmapsto 3=125+b[/tex]

[tex]\\ \sf\longmapsto b=-122[/tex]

Equation of the line

[tex]\\ \sf\longmapsto y=-25x-122[/tex]

The problem 7,291 ÷ 19 is solved below using partial quotients. Identify what partial quotient was used in each step. Then, identify your final quotient.

Seven thousand two hundred ninety one minus five thousand seven hundred equals one thousand five hundred ninety one minus one thousand five hundred twenty equals seventy one minus fifty seven equals fourteen. Arrows pointing to step one, two, and three. You can not make anymore groups of nineteen. What is left becomes your remainder ill give brainliest

Answers

Using the partial quotient method, it is found that:

The partial quotients used in each step are as follows: 300, 80, The final quotient is of: 383.

Partial quotient method

When division is done applying the partial quotient method, consecutive subtractions are done with n groups of the divisor.

Each partial quotient is the number of groups, and the final quotient is the sum of the partial quotients.

In this problem, the divisor is as follows;

19.

The first subtraction is by 5700, which is 5700/19 = 300 groups of 19, hence the first partial quotient is of 300.

The second subtraction is by 1520, which is 1520/19 = 80 groups of 19, hence the second partial quotient is of 80.

The third subtraction is by 57, which is 57/19 = 3 groups of 19, hence the third partial quotient is of 3.

Then the final quotient is given as follows:

300 + 80 + 3 = 383.

Missing Information

The subtractions are given by the image at the end of the answer.

More can be learned about the partial quotient method at https://brainly.com/question/2059458

#SPJ1

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