Find the limit
(calculus)

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

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Answers

Answer:3rd one

Step-by-step explanation:

Round 1.24236 to the nearest hundredth

Answers

Answer:

1.24

Step-by-step explanation:

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

Answers

the answer is 4/v to the power of two

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

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

Answers

Answer: left, down

Hope this helps.

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.

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.

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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)

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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)

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

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 :)

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

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.

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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.

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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

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.

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!

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

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

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.  

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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]

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

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

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.

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]

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

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
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