Find the limit
(calculus)

Answers

Answer 1

Answer:

0

Step-by-step explanation:

Step 1: Define

[tex]\lim_{x \to \infty} e^{x-x^2}[/tex]

Step 2: Substitute in infinity

[tex]\lim_{x \to \infty} e^{\infty-\infty^2}[/tex]

We know that the second exponent is always going to be bigger than the 1st exponent, so we would get a negative exponent.

[tex]\lim_{x \to \infty} e^{-\infty}[/tex]

We can simplify a negative exponent into a fraction.

[tex]\lim_{x \to \infty} \frac{1}{e^{\infty}}[/tex]

We know that if we keep plugging in larger numbers for x, the denominator is going to be infinitely big. And bigger the number we are dividing by, the smaller the entire fraction is going to be.

Therefore, we would be approaching 0.


Related Questions

the function is graphed below. On which interval of X is the average rate of change of the function the greatest?

Answers

Answer:

Between x = 48 and x = 45.

Step-by-step explanation:

Average rate of change of a function in the given interval is represented by,

Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]

From the table attached,

Average rate of change of the function between x = 3 and x = 9

= [tex]\frac{16-7}{9-3}[/tex]

= 3

Average rate of change in the interval x = 9 and x = 22

= [tex]\frac{32-16}{22-9}[/tex]

= [tex]\frac{16}{13}[/tex]

= 1.23

Average rate of change in the interval x = 9 and x = 22,

= [tex]\frac{45-32}{45-22}[/tex]

= [tex]\frac{13}{23}[/tex]

= 0.57

Average rate of change in the interval x = 45 and x = 48,

= [tex]\frac{63-45}{48-45}[/tex]

= 6

Therefore, average rate of change is maximum between x = 45 and 48.

Option given in bottom right will be the answer.

Which values of a, b, and c correctly represent the answer in simplest form?

4 and one-half divided by 1 and one-fourth = a StartFraction b Over c EndFraction
a = 3, b = 6, c = 10
a = 3, b = 3, c = 5
a = 5, b = 3, c = 3
a = 10, b = 6, c = 3

Answers

Answer

the answer is a i

thinnk

Step-by-step explanation:

hope this helped!!

The values of the fraction are a = 3, b= 3,   c= 5 is the correct answer.

What is a fraction?

A fraction is a part of a whole number, and a way to split up a number into equal parts. It is a number expressed as a quotient, in which a numerator is divided by a denominator.

For the given situation,

The fraction is given as  [tex]\frac{4\frac{1}{2} }{1\frac{1}{4} }[/tex]

⇒ [tex]\frac{\frac{9}{2} }{\frac{5}{4} }[/tex]

⇒ [tex]\frac{9}{2}[/tex] × [tex]\frac{4}{5}[/tex]  

⇒ [tex]\frac{18}{5}[/tex]

⇒ [tex]3\frac{3}{5}[/tex]

Thus from the above value a = 3, b= 3, c= 5.

Hence we can conclude that the values of the fraction are a = 3, b= 3,   c= 5 is the correct answer.

Learn more about fractions here

https://brainly.com/question/17205173

#SPJ2

pls help will give brainliest

Answers

Answer:

14 units

Step-by-step explanation:

Answer:

[tex]\sqrt{116[/tex] ( award branliest :) )

Step-by-step explanation:

When you insert both points into the distance formula which is

d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]  you arrive at the final answer of [tex]\sqrt{116}[/tex]

pls help will give brainliest

Answers

Answer:3rd one

Step-by-step explanation:

UM WHAT I NEED SOME ADMINS LOOK

Answers

Answer:

LOL UGH THAT KEEPS HAPPENING TO ME

Step-by-step explanation:

Answer:

try reloading the page or check your internet

Step-by-step explanation:

determine the range of the following graph:

Answers

Answer:

(-15)

Step-by-step explanation:

(-7) - 8 = (-15) (Range is the difference between Max and Min Value)

please follow me and mark as brainliest

Round 1.24236 to the nearest hundredth

Answers

Answer:

1.24

Step-by-step explanation:

Evaluate 64 to the power of 1/2 x 10 to the power of -2

Answers

the answer should be 2/25 or 0.08

The Fashion Store has $6000 available each month for advertising. Newspaper ads cost $200 apiece and no more than 20 can be run per month. Radio ads cost $100 each and no more than 30 can run per month. TV ads cost $800 a piece, with a maximum of 7 available each month. Approximately 1000 women will see each newspaper ad, 800 will hear each radio ad, and 14,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize exposure?

Answers

9514 1404 393

Answer:

7 TV ads4 radio ads

Step-by-step explanation:

The audience per dollar is ...

  Newspaper: 1000/$200 = 5/$

  Radio: 800/$100 = 8/$

  TV: 14000/$800 = 17.5/$

So, TV gives the greatest exposure. As much of the budget as possible should be spent on TV ads. That amount is the lesser of $6000 and ...

  (7 ads)($800/ad) = $5600

With $5600 spent on TV ads, the remaining advertising budget is ...

  $6000 -5600 = $400

The next most cost-effective medium is radio. The remaining $400 budget allows for ...

  $400/($100/ad) = 4 ads

__

To maximize exposure, the advertising budget should be spent this way:

TV: 7 ads for $5600, exposure of 98000Radio: 4 ads for $400, exposure of 3200

I NEED HELP HERE ASAP, I’m giving brainliest to the right one. I forgot how to solve this:/

Answers

Answer:

28 weeks

Step-by-step explanation:

It says that $42 was 1/3 of her total. So you multiply $42 by 3 and you get $126. You now divide $126 by her weekly allowance, $4.5, and the answer is 28.

1. $42 x 3 = $126

2. $126/$4.5 = 28

3. The answer is Sharon has been saving her allowance for 28 weeks.

Hope this helps!

-Jerc

Answer:

She has been saving her money up for 28 weeks.

Step-by-step explanation:

1. If 42 is 1/3 of her money, then you would multiply 42 by 3 to get the full 3/3 so: 423=126

2. Next, you would divide $126 by $4.50 because that is the total amount of money divided by how much she saved up each week, so: 126/4.5=28 and that gives us the answer which is 28.

Find the value of x
PLEAASEEE HELP!!!

Answers

Answer:

x = 37

Step-by-step explanation:

4x + 3 + x - 8 = 180

4x + x - 8 + 3 = 180

5x - 5 = 180

5x = 185

x = 37

Hope this helps!

Simplify. 32v2 the power of 4/ 8v to the power of 6

Answers

the answer is 4/v to the power of two

y = x²+1 at x=1 what’s the solution?

Answers

y = x^2 + 1
if x = 1 then
y = 1^2 + 1 ( 1^2 = 1 )
y = 1 + 1
y = 2

The product of 3 consecutive integers is 4,896. What is the largest of the three consecutive numbers?

Answers

Answer:

18

Step-by-step explanation:

1. Try to create an equation. We can say that the first number is x and the following numbers are x+1 and x+2. That means that x*(x+1)*(x+2)=4896.

2. Solve and Simplify. x^3+3x^2+2x=4896.

3. Solve and Simplify (2) I'm assuming that you're not looking for the complex solutions, so x=16.

4. Find the 3rd number. 16+2=18

Answer: 18 is the largest number of the three

What is 40 percent of 50?
1. 20
2. 30
3. 40
4. 10

Answers

Answer:

1) 20

Step-by-step explanation:

40% percent of this number is only a small amount.

20

Step-by-step explanation:

40 percent of this number is a small amount

The product of the number g and the opposite of 7 is equal to k.
Change to an algebraic expression

Answers

answer: -7g = k

explanation: -7 is the opposite of 7
g(-7) = k. Hope this helps. You don’t need brackets by the way you can just say -7g or g times -7 if you want. Hope this helps and a Brainliest would be appreciated

Please help...

Solve using the method of your choice:
[tex]2 {x}^{2} + 3x - 2 = 0[/tex]

Answers

Answer:

x=½, -2

x= 0.5, -2

possibly im not perfect

Simplify the following expression, 3/8 divided by 1/4

Answers

The correct answer is 1.5 in decimal form but in fraction form it’s 3/2

The required simplified product is 3/2.

Given that fractions  3/8 ÷ 1/4.

To divide two fractions by multiplying the first fraction with the reciprocal of the second fraction.

Let a, b, c and d be any real numbers. Consider a/b ÷ c/d that gives

[tex]\frac{a}{b}[/tex]  ÷  [tex]\frac{c}{d}[/tex] = [tex]\frac{a}{b}[/tex] ×  [tex]\frac{c}{d}[/tex].

That implies, [tex]\frac{3}{4}[/tex]  ÷  [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{8}[/tex] ×  [tex]\frac{4}{1}[/tex] = [tex]\frac{3}{2}[/tex].

Hence, the required simplified product is 3/2.

Learn more about simplification of fraction, click here:

https://brainly.com/question/16510095

#SPJ6

Please Assist!
What is the answer to this question???

Answers

Answer:

[tex](-5,\frac{1}{2} )[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

Simply plug in your coordinates into the midpoint formula to find midpoint:

R(-2, 3)

S(-8, -2)

[tex](\frac{-2+-8}{2},\frac{3+-2}{2} )[/tex]

[tex](\frac{-10}{2},\frac{1}{2} )[/tex]

[tex](-5,\frac{1}{2} )[/tex]

what is the slope of a line parallel to the line whose equation is 3x - 2y = 18

Answers

Answer:

3/2

Step-by-step explanation:

3x - 2y = 18

y=(3/2)x-9

Slope of the given line=3/2

As parallel lines have same slope, slope of the line parallel to the line 3x - 2y = 18 is 3/2.

Hope it helps :)

Slope of a line parallel to the line whose equation is 3x - 2y = 18 is 3/2.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Two lines are said to be parallel when their slopes are same.

To find the slope of parallel line, we need to find slope of 3x - 2y = 18

3x-2y=18

-2y=18-3x

y=-18/2+3/2x

y=3/2x-18/2

Slope of line is 3/2

Hence, slope of a line parallel to the line whose equation is 3x - 2y = 18 is 3/2.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

How do I solve this?

Answers

Answer:

Step-by-step explanation:

Slope= -3/1

plot from point  (-2,4)

Answer:

Step-by-step explanation:

Just so that we have something to work with, the length of the longest day (June 22) in Acron Ohio is 15 hours 8 minutes and 9 seconds on the 20th of June of this year. The number we get won't be this accurate, but it will tell us if we have done it correctly. The tricky part is when to use the radians.

cos(0.1309 H) = -0.4336 tan (40o 46 minutes)  I have assumed this is in radians. It won't work any other way. The measurement cannot be in degrees which will give a negative tan from the minus sign out in front. The cos being minus will make things even worse.

cos(0.1309 H) = -0.4336 tan (40 46/60  )

cos(0.1309 H) = -0.4336 tan (40.766666667)

cos(0.1309 H) = -0.4336 * -0.074173405

cos(0.1309 H) = 0.032161588

0.1309 H = cos-1(0.032161588)

0.1309 H =  1.538629191

H = 1.538629191 / 0.1309

H = 11.754 which is no where near 15 hours, but it is what the numbers give.

I would suggest that you go to your instructor for the other two. Work this one out until you get somewhere near 11.7 hours.

The other two cities should come to something near  this answer.  

The rule (x, y)→(x−1, y-3) represents a translation 1 unit ____ and 3 units ____

Answers

Answer: left, down

Hope this helps.

Help me out please I need it

Answers

Answer:

what do you need help with you did not provide a picture or any evidence

Step-by-step explanation:

step-by-step explanation

What for you need help on? Also can you give me brainliest? Sorry I rlly need it but if you can’t that is totally fine :D

f(n)= 4n+4
g(n)= n + 1
Find (f + g)(n)

Answers

(F+g)(n) = f(n)+g(n) = 4n+4+n+1 = 5(n+1)

What Is It HomeWork*.

Answers

Answer:

sumthing that we hate doing

Step-by-step explanation:ughhhhhhhhhh

The inequalities is 6 is greater than or equal to 6

If p = 5, q = 4, and r = 1, what is the value of p - r ?

a. 3
b. 4
c. 6
d. 1

Answers

The answer is 4

We can replace p with 5 and r with 1, this will lead us with 5 - 1.
b. 4

If p=5 and R= 1 then 5-1=4

1 Later that afternoon, Robert spent more time playing the video game.
He earned 88 points. How many points did he tell his friend that
he earned?

Answers

This doesn’t seem like the full question...
Do you have a picture so I can answer it lol

Explain how sample size affects statistical significance.

Answers

Answer:

More formally, statistical power is the probability of finding a statistically significant result, given that there really is a difference (or effect) in the population. ... So, larger sample sizes give more reliable results with greater precision and power, but they also cost more time and money.

Find the standard deviation of the following data. Round your answer to one decimal place. x 00 11 22 33 44 55 P(X

Answers

Complete question :

Find the standard deviation of the following data. Round your answer to one decimal place.

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Answer:

1.833

Step-by-step explanation:

Given the data :

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Standard deviation (s) = Sqrt[Σx²*f(x) - E(x)²]

E(x) = (0*0.2) + (1*0.3)+(2*0.1)+(3*0.1) + (4*0.1) + (5 * 0.2) = 2.2

Sqrt[Σx²*f(x) - E(x)²]: [(0^2 * 0.2)+(1^2 * 0.3)+(2^2 * 0.1)+(3^2 * 0.1) + (4^2 * 0.1) + (5^2 * 0.2)] - 2.2²

Sqrt(8.2 - 4.84) = 1.833

4 tens + 14 ones = 5 tens + ___ ones

Answers

Answer:

that equation isnt set up right

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

40+14=54 and 50 = 4 + 54

Hope this helps :)
Other Questions
so um this isnt exact about learning but i have a pet hermit crab and his name is turbo what do i feed him??? Which of these are factors that caused Europeans in the West Indies to use enslaved Africans?Check all of the boxes that applyThey needed many people to work on their plantationsThey turned to Africans after West Indies natives planned major rebellions.They turned to Africans after West Indies natives died in large numbers.They could not afford to pay workers from the West Indies.They brought enslaved workers with them from Europe.DOO the sum of the 2 integers is -112. if one of them is -109 find the other THISSS IS 70 POINTSSS HELP What conclusion can you draw about the speaker's age from this passage from "At Night"?A-dozin' dis way by de fiah;Oo oom--hit feels so good to stretchI sutny is one weary wretch! Write an equation in slope intercept format that has a slope of 1/5 and includes the point (10, 7).Write your answer as y=mx+b. Write your answer as a fraction if it is not an integer. (#/#) A runner starts at rest and accelerates until reaching a speed of 9.0 m/s. A graph of her velocity over time is shown belowVelocitym15+12+963+Time (s)136912 15 18What is her average acceleration from 0 to 9.0 seconds? 16/25 divided by 15/8 The Huggins family went out to dinner. The price of the meal was $62.95. The sales tax is 8% of theprice of the meal. The tip is 15% of the meal and the sales tax. How much money did the familypay for the meal, including tax and tip? An organism that has two identical alleles (like two capital Ts or two lowercase ts for example) is called How many 1/3 inch pieces can be cut from 7/15 of an inch long How can never giving up help you Health, Safety, Money, Education, Time, Future Success, and Rights? I need help:( Write an argument in favor of the Navigation Acts. the hardware device that allows the user to see the results after processing is the monitor,scanner,webcam,Camara can u help, please help me Picture providedPlease solve. Those who argued for prison reformation based on religious viewpoints argued that which of the following was the best way to restore the moral balance of the soul?laborcounselingmediationsolitude pls help fast!!!! Analyze the map below and answer the question that follows.A color-coded thematic map of India. Climate regions are labeled 1, 2, 3, 4, and 5. 1 is in Central India and in the middle of the southern tip. 2 is most of Southern India. 3 is along the western coast and west coast of Sri Lanka. 4 is in Northern India and extends eastward. 5 is along the northern border of India with Nepal.The region labeled with the number 2 on the map above is a __________ climate region.A.humid subtropicalB.tropical wet and dryC.tropical wetD.semiarid what degree is this? awarded by a community college or technical school after completing 2 years of study can u plzz help meee whats 62.72.45......?