Mathematics College

Find the limit
(calculus)

Answers

Answer 1

Answer:

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 population of China is approximately 1.381x10^9, and the population of the US is approximately 3.23x10^8. About how many people live in both countries combined? Answer in scientific notation

Answers

Answer:

1.704 x 10⁹ people

Step-by-step explanation:

Population of China = 1.381 x 10⁹

Population of US = 3.23 x 10⁸

Problem:

Number of people in both countries combined = ?

Solution

To solve this problem, simply add them together;

Let us make the exponents the same for easy addition;

Population of China = 1.381 x 10⁹ = 13.81 x 10⁸

Poplation of US = 3.23 x 10⁸

Adding both:

(13.81 x 10⁸) + (3.23 x 10⁸)

⇒ (13.81 + 3.23) x 10⁸

⇒ 17.04 x 10⁸

⇒ 1.704 x 10⁹

Veronica is making emergency- preparedness kits to share with friends. She has 20 bottles of water and 12 cans of food, which she would like to distribute equally among to kits, with nothing left over. What is the greatest number of kits Veronica can make ?

Answers

Answer:

she could only make 4

Step-by-step explanation:

Lisa bucket weighs 21kg after pouring out half it weigh 12kg what’s the wight of the bucket?

Answers

Answer:

Step-by-step explanation:

9kg

A large cable company reports the following.

80% of its customers subscribe to its cable TV service.
41% of its customers subscribe to its Internet service.
31% of its customers subscribe to its telephone service.
25% of its customers subscribe to both its cable TV and Internet service.
20% of its customers subscribe to both its cable TV and phone service.
22% of its customers subscribe to both its Internet and phone service.
15% of its customers subscribe to all three services.

Consider the chance experiment that consists of selecting one of the cable company customers at random. Use the probability formulas of this section to find the following probabilities.

a. P(cable TV only)
b. P(Internet I cable TV)
c. P(exactly two services)
d. P(lnternet and cable TV only)

Answers

Answer:

Step-by-step explanation:

Let n(U) be total amount or customers = 100%

n(C) = 80% of its customers subscribe to its cable TV service.

n(I) = 41% of its customers subscribe to its Internet service.

n(T) = 31% of its customers subscribe to its telephone service.

n(CnI) = 25% of its customers subscribe to both its cable TV and Internet service.

n(CnT) = 20% of its customers subscribe to both its cable TV and phone service.

n(InT) = 22% of its customers subscribe to both its Internet and phone service.

n(CnInT) = 15% of its customers subscribe to all three services

number of those that subscribed to TV only = n(C) - (n(CnInT')+(n(CnI'nT)+(n(CnInT))

= 80-[(25-15)+(20-15)+15]

= 80-{10+5+15)

= 80-30

= 50

Hence 50% read cable TV only

Pr(cable TV only) = 50/100 = 1/2

2) number of people that read internet and cable TV = 25%

Pr(internet and cable) = 25/100 = 1/4

3) number of people that had exactly two services are;

n(cable and internet only)+n(internet and phone only)+(cable and phone only)

= (25-15)+(22-15)+(20-15)

= 10+7+4

= 21%

Hence 21℅ read exactly two services

pr(exactly 2 services) = 21/100

4) number of people that read internet and cable only = n(CnI) - n(CnInP)

= 25-15 = 10%

Pr(Internet and cable only) = 10/100 = 1/10

Enter the correct answer in the box. Write the sum of √28x^6 + 4√7x^6 in simplest form, if x ≠ 0.

Answers

Answer:

21.97025026/250

Which postulate or theorem proves that A CFE and ADFE are congruent? o OSSS Congruence Postulate O SAS Congruence Postulate O AAS Congruence Theorem O ASA Congruence Postulate 1 2

Answers

Answer:

Option (1)

Step-by-step explanation:

Given:

CF ≅ DF

CE ≅ DE

To prove:

ΔCFE ≅ ΔDFE

Solution:

From ΔCFE and ΔDFE,

Statements Reasons

1). CF ≅ DF 1). Given

2). CE ≅ DE 2). Given

3). FE ≅ FE 3). Reflexive property

4). ΔCFE ≅ ΔDFE 4). By SSS property of congruence

Therefore, SSS postulate of congruence will be the answer.

Option (1) will be the answer.

Answer:

dnssnskjsjsjsjajjawiiwiw

The answer is 13.2 or 66/5

Have a nice day! :)

Edgar has 20 dimes and nickels,all together sum up to $1.40.what does each one of them cost?

Answers

Answer:Edgar has 12 nickles and 8 dimes.

Step-by-step explanation:

Select all the conditions for which it is possible to construct a triangle.

Group of answer choices

A triangle with angle measures LaTeX: 60^\circ 60 ∘ , LaTeX: 80^\circ 80 ∘ , and LaTeX: 80^\circ 80 ∘

A triangle with side lengths 4 cm, 5 cm, and 6 cm

A triangle with side lengths 4 cm, 5 cm, and 15 cm

A triangle with side lengths 4 cm and 5 cm and a LaTeX: 50^\circ 50 ∘ angle

A triangle with angle measures LaTeX: 30^\circ 30 ∘ and LaTeX: 60^\circ 60 ∘ , and a 3 cm side length

Answers

Answer:

A triangle with side lengths 4 cm, 5 cm, and 6 cm

A triangle with side lengths 4 cm, 5 cm, and 15 cm

A triangle with side lengths 4 cm and 5 cm and a 50∘ angle

A triangle with angle measures 30 ∘ and 60 ∘ , and a 3 cm side length

Step-by-step explanation:

A triangle measuring 60 ∘, 80∘ and 80∘ is more than sum of angles of a triangle (180∘). This cannot be constructed as triangle because it is more than 180∘.

A triangle can be constructed, If the sum of any two sides is greater than third side,

Thus, a triangle with side lengths 4 cm, 5 cm, and 6 cm can be constructed because;

4 cm + 5cm > 6 cm

A triangle with side lengths 4 cm, 5 cm, and 15 cm can be constructed as well, because;

5 cm + 15 cm > 4 cm

A triangle with side lengths 4 cm and 5 cm and a 50 ∘ angle can be constructed ( two sides and an angle between them)

A triangle with angle measures 30 ∘ and 60 ∘ , and a 3 cm side length can be constructed ( two angles and a side between them)

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:

I only have 30 minutes left

Answers

Answer:

what is the question?

Step-by-step explanation:

U only posted a picture of a half paragraph

What’s the question
I can’t see the whole thing

The surface area of the rectangular prism can be found using the expression
6
x
3
+
4
x
2
+
12
x
. If the value of x is 3, what is the surface area, in square centimeters, of the prism?

Answers

Answer:

102

Step-by-step explanation:

6*3*3+4*3*2+12*2=102

hopefully, it's right

Neptunes average distance from the sun is 4.503x10^9 km. Mercury’s average distance from the sun is 5.791 x 10^7 km. About how many times farther from the sun is Neptune than mercury right answer in scientific notation

Answers

Answer:

7.78*10^1

Step-by-step explanation:

in 2015, the number of fish in a pond was 80. In 2016 The number of fish declined by 75% How many fish were in the pond in 2016?

Answers

I think the the answer is 20

g(x)=x^3
f(x)=(x+6)^3 -3
Ring to the equations above the graph of f(x) would be obtained from the graph of g(x) by translating the graph of g(x)

Answers

A, left 6 Units and down 3 units

Hope this helps

Determine if the transformation of figure a to figure b is a dilation

Answers

it is a dilation but it's a growth as well, it dilated but shifted as well

Which best describes the solution set of the compound inequality below? 2 + x ≤ 3x – 6 ≤ 12 4 ≤ x ≤ 9 4 ≤ x ≤ 6 –2 ≤ x ≤ 2 –2 ≤ x ≤ 3

Answers

Answer:

Im sure you dont need this anymore but in case someone else does, im pretty sure the answer is B

Answer:

B is tha right answer

Step-by-step explanation:

If the quarter note equals one beat, how many beats would this note be worth?

Answers

Answer:

4 beats

Step-by-step explanation:

that is a whole note and 4 quarters are equal to one whole

Can someone please tell me answerrrrrrr

Answers

Answer: B

Steps: $208.08

PLz mark brainliest:)

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Use cross products to demonstrate whether or not the two ratios are equivalent:
4/6 and 14/21.

Answers

cross products: a/b = c/d is also equal to ad = bc

so, essentially you’re just drawing two diagonal lines from one side to the other, multiplying those numbers together, and setting them equal

so: 4/6 and 14/21 = (4*21 = 6*14) = (84 = 84)

84 is equal to 84 so these two ratios are equivalent.

What line is perpendicular to y=2/7x+11/7 travel through (-3,8)

Answers

Answer:

2y- 16 = 7x + 21

Step-by-step explanation:

Y= mX+ c

y = (2/7)x + 11/7

m= gradient= 2/7

The perpendicular gradient should be the negative reciprocal of the gradient we have now.

which is : -1÷(2/7) = -7/2

Now for the perpendicular line equation, we have:

y = 8x= -3m= 7/2

y - y1 = m ( x - x1 )

y - 8 = 7/2 ( x + 3 )

2y - 16 = 7x + 21

A Mountain road rises 30 feet for a 490-foot run. What is it’s slope

Answers

490/30 = 82

you simply just divide the two numbers to get slope

Answer:

Correct answer is 3/49

Step-by-step explanation:

Does this table represent a function? Why or why not?
X
у
2.
1
3
4.
4
4
5
2
5
5

Answers

The answer would be A because 5 goes to two y-values, instead of just one.

THE ANSWER IS A........

Please help me with this

Answers

Answer:

A = (4, -2)

B = (-2, -2)

C = (-2, 2)

Please Brainliest! It wuld help out a lot..

Evaluate the expression for x = 5, y = 3, and z = 14.

5x−6y+20z4yz

Answers

Answer:

5(5)-6(3)+20(14)4(3)(14)

25-18+47040

7+47040= 47047

Answer:

Step-by-step explanation:

because on my k12 school say so so ya

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Find the limit (calculus)

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Find the limit
(calculus)