given that f(x)=x 1−−−−−√−2x−3, define the function f(x) at x=3 so that it becomes continuous at x=3 .

Answers

Answer 1

The function f(x) at x = 3 for given the function f(x) = x√(1 - 2x) - 3 so that it becomes continuous at x = 3 is f(3) = 3√(-5) - 3.

We are given the function f(x) = x√(1 - 2x) - 3, to define the function f(x) at x = 3 so that it becomes continuous at x = 3, you need to find the limit of f(x) as x approaches 3. To have a continuous function, the limit of the function as x approaches 3 should be equal to the value of the function at x = 3.

Let's find the limit of f(x) as x approaches 3:

lim (x -> 3) [x√(1 - 2x) - 3]

Substitute x = 3 into the function:

3√(1 - 2(3)) - 3

3√(1 - 6) - 3

3√(-5) - 3

Now, define the function f(x) at x = 3 to be equal to the limit:

f(3) = 3√(-5) - 3

Therefore, the function f(x) is defined at x = 3 as f(3) = 3√(-5) - 3, making it continuous at x = 3.

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Related Questions

empirical formula of c8h14

Answers

Answer:

C4H7

Explanation:

Empirical formula is defined as the  simplest ratios of atoms present in the compound.

The empirical formula for C8H14 is C4H7 as if you multiply each coefficient of C4H7 by 2, it will become C8H14. The chemical name of C8H14 or C4H7 is 1-Methylcycloheptene.

Hence, the correct answer is "C4H7".

how do humans impact the distribution of minerals?

Answers

Answer:

With our modern tools and increased rate of mining industries being built, id say we deal a big impact on mineral exportation.

Explanation:

Which of the following examples is a chemical property?

Answers

Where are the options to choose from

Answer:

Examples of chemical properties include flammability, toxicity, acidity, reactivity (many types), and heat of combustion. Iron, for example, combines with oxygen in the presence of water to form rust; chromium does not oxidize (Figure 2).

Explanation:

The purpose of mitosis is to produce

A. Sex cells
B. Body cells
C. DNA

Answers

Djhdjjdjdjdjdjfjjdjdjfjfjcjjdjsjdjejdkkdkdkd






Sorry I need to ask question

Now molecules: Choose... molecules of H 2 + Choose... molecules of O 2 → Choose... molecules of H 2 O

Answers

Consider this balanced chemical equation:
2 H2 + O2 → 2 H2O
We interpret this as “two molecules of hydrogen react with one molecule of oxygen to make two molecules of water.” The chemical equation is balanced as long as the coefficients are in the ratio 2:1:2. For instance, this chemical equation is also balanced:
100 H2 + 50 O2 → 100 H2O
This equation is not conventional—because convention says that we use the lowest ratio of coefficients—but it is balanced. So is this chemical equation:
5,000 H2 + 2,500 O2 → 5,000 H2O
Again, this is not conventional, but it is still balanced. Suppose we use a much larger number:
12.044 × 1023 H2 + 6.022 × 1023 O2 → 12.044 × 1023 H2O
These coefficients are also in the ratio of 2:1:2. But these numbers are related to the number of things in a mole: the first and last numbers are two times Avogadro’s number, while the second number is Avogadro’s number. That means that the first and last numbers represent 2 mol, while the middle number is just 1 mol. Well, why not just use the number of moles in balancing the chemical equation?
2 H2 + O2 → 2 H2O

Answer:

2 H2 + 1 O2 → 2 H2O

Explanation:

In the formula XS04, the symbol X could represent the element*
O (1) AI
O (2) Ar
O (3) Mg
0 (4) Na

Answers

4) Mg, sulfato de magnesio

9. This type of bond consists of closely packed cations and loosely held valence e- rather than
neutral atoms.
a. lonic
b. Covalent
c. Metallic
d. polyatomic

Answers

The answer would be C metallic.

A chemist determined by measurements that 0.050 moles of tin participated in a chemical reaction. Calculate the mass of tin that participated in the chemical reaction.
Be sure your answer has the correct number of significant digits.

Answers

Answer:

Explanation:

MM of I2 = 2 (127 g) = 254 g/mol

0.065 mol I2 x 254g I₂/ 1 mol I₂  = 16.5 g I2

Yes it’s the right Answer!!!

You're leaving a carnival and you're pumped because a clown just handed you a red, helium- filled balloon. But then, something tragic occurs. You hear the ice cream truck, jump with joy doing a 180 degrees in the air, and you lose grip of your beautiful balloon. Upward it flies as you stare speechless into the sky. Why did this helium balloon fly away instead of falling to the ground like a balloon filled with your breath usually does?

Answers

Because the helium inside it is lighter than air , hence it rises up
The balloon from our breath contains carbon dioxide which is heavier than air so it doesn’t rise

How does the temperature of the air change with altitude?

Answers

As you increase in elevation, there is less air above you thus the pressure decreases. As the pressure decreases, air molecules spread out further (i.e. air expands) and the temperature decreases. If the humidity is at 100 percent (because it's snowing), the temperature decreases more slowly with height.

BALANCE THE FOLLOWING EQUATION


1.) Sc(C2H3O2)3 + Na3BO3 = NaC2H3O2 + ScBO3


2.) Ba3(PO4)2 + Ca2SiO4 = Ba2SiO4 + Ca3(PO4)2

Answers

Answer:

1) Sc(C2H3O2)3 + Na3BO3 = 3 NaC2H3O2 + ScBO3

2) 2 Ba3(PO4)2 + 3 Ca2SiO4 = 3 Ba2SiO4 + 2 Ca3(PO4)2

Which of the following statements is true? According to the Law of Inertia, the Earth will stay in motion because it is already moving. The sun's gravitational pull keeps the Earth from moving in a straight line. The speed of the Earth's motion keeps it from crashing into the sun. All of the above.

Answers

Answer:

The Earth will stay in motion because it is already moving.

Answer:

b

Explanation:

What is the Lewis dot diagram for GaF3

Can someone help me

Answers

Answer:

View attached image

Fill in the blanks. In this phase, the particles are still in contact, but now move freely past each other. Heating a liquid sample will result in the particles having---- kinetic energy and the temperature of the liquid will ------- until it reaches the point at which there is another phase change, this time to a ------- .

Answers

Increase
Gas

Hope this helps!

Our current model of a chemical bond is to think of it as an electrical interaction between what two parts of an atom

Answers

Answer:

Explanation:

It involves the thinking of it as an electrical interaction between the positively charged part of an atom and the negatively charged part as well. Succinctly put, the interaction between the proton of an atom and the electron of an atom.

The relationship between these two sub atomic particles is one of the basis for many chemical bonding, and this is inclusive of all the bonds there exist. Hydrogen, Electrovalent and even Covalent bondings to mention but a few

C6H12O6 O3 NF3 Co KNO3 H2 CO

Which one of these are molecules list all that apply

Answers

Oh wow , what grade are you in ukliblo ?

describe nucleus of atom​

Answers

Answer:

the nucleus is made up of protons and neutrons

Oh okie oh gosh oh yeah yeah oh okie oh gosh lol lol

he distance from Earth to the North Star is about 430 light-years. Which of the following statements describes why scientists use the light-year unit to measure distances in space?


A light-year unit is very small and distances in space are very small.


A light-year unit is very small and distances in space are very large.


A light-year unit is very large and distances in space are very small.


A light-year unit is very large and distances in space are very large.

Answers

Answer:

D

Explanation:

because the rest don’t make any sense

A light-year unit is very large and distances in space are very large. Therefore, the correct option is option D.

What is distance?

No matter the direction of the journey, distance is the overall path that an item in motion has traveled. Since just the length of the path travelled is calculated as well as the motion's direction is ignored, distance is referred to as a scalar number. The distance can only ever be positive; it can never be 0 or negative.

Displacement generally defined as the overall alteration of an object's location and motion direction. Displacement is recognized as a vector quantity since it takes into consideration both the directions of the motion and the amount of the changing position. Displacement may be zero, positive, or negative. A light-year unit is very large and distances in space are very large.

Therefore, the correct option is option D.

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How many moles are in sample containing 2.71 x 10^24 atoms of iron?

Answers

Answer:

4.5 moles

Explanation:

One mole is equal to 6.022 x 10^23 atoms

2.71 x 10^24 atoms * 1 mol/ 6.022 x 10^23 atoms = 4.5 moles

When talking about the products of photosynthesis, why is it a HUGE issue when a vast amount of the rainforests is dying along with vast acres of forests from fires/deforestation? Remember, we know that this hurts the ecosystems of animals living there, but what else does it effect? Question 5 options: the creation of too much water the creation of oxygen the creation of to much heat the creation of carbon monoxide

Answers

Answer:d

Explanation:because im really really sure thats the answer

Amoeba have the following metabolism.
A. Autotrophic

Answers

[tex] \huge \purple{\tt{Answer:}} [/tex]

a. Autotrophic

ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART!!!
Write a paragraph that explains the differences among incandescent, fluorescent, and laser light.

Answers

Answer:

An incandescent light bulb works by heating a filament in the bulb. Fluorescent light is a bright light produced by electricity flowing through a tube filled with ionized gas. Fluorescent light bulbs are more energy-efficient than incandescent bulbs.

Explanation:

1) What type of molecule is water and why? Show its lewis structure, shape, and
explain what type of compound it is in terms of bond type and symmetry.
2) Which part of the water molecules will attract to the negatively shared balloon
and why? Show how the water molecule aligns itself to the negative part of the
balloon.

(PLeASE HeLP)

Answers

Answer:

I DO NOT UNDERSTAND THE QUESTION, BUT THANKS FOR THE COINS/TOKENS!

Explanation:

PLS HELP ME THIS IS DUE TODAY BRO ILL BRAINLIST U JUST DO THE ONES U KNOW WAJDHWNDIGB!

Answers

Answer: Helium: atomic number 2. EC 2

Neon: atomic number 10. EC 2,8

hydrogen: atomic number 1. EC 1

magnesium: atomic number 12. EC 2,8,2

chlorine: atomic number 17. EC 2,8,7

Aluminum: atomic number 13. EC 2,8,3

Explanation: hope this helped

hey guys i dont want to beg for help but i just am stuck in this q please help

Answers

I try this before but for me is letter C

Answer:

C

Explanation:

i took the test

Hey I'm Chloe,
Does anyone know How many sides and Octagon has?
I Tried Researching it but Nothing came up.

Answers

An octagon has 8 sides. Octo means 8.

Is barium hydroxide Ba(OH)2 or is BaOH?

Answers

Answer:

What is the charge on the barium ion and what is the charge of the hydroxide ion.

Explanation:

To get the correct formula they have to add to zero over all.

Why Doesn't The Earth Usually Feel Solar Winds?

Answers

Answer:

When the solar winds approach the Earth, the magnetosphere (part of the Earth's natural magnetic defenses) deflects/repels most of the charged particles and shields our planet's surface from the winds. Sometimes, however, the magnetosphere isn't strong enough to block the Earth from these winds, so they do hit Earth and may cause catastrophic consequences, such as ruin power grids, cut off telecommunications (cell service/calls), etc.

Hope this helps you out! Have a nice day! :)

If sodium (Na) bonds with chlorine (Cl), which statement is true?

An electron is transferred from sodium to chlorine and an ionic bond is
formed.
An electron is shared between sodium and chlorine and an ionic bond is
formed.
An electron is transferred from sodium to chlorine and a covalent bond is
formed.
An electron is shared between sodium and chlorine and a covalent bond is
formed.

Answers

Answer:

First Statement is correct

Explanation:

An electron is transferred from sodium to chlorine and ionic bond is formed.

Hope it help!!

If sodium ( Na ) bonds with chlorine ( Cl ), then an electron is transferred from sodium to chlorine and an ionic bond is formed. Therefore, option A is correct.

What is ionic bond ?

The main interaction taking place in ionic compounds is ionic bonding, a form of chemical bonding that includes the electrostatic attraction between two atoms or ions with dramatically differing electronegativities.

When the ionic character is larger than the covalent character, i.e., when there is a significant difference in the electronegativity between the two atoms, the bond is more polar than when the electrons are divided more evenly in covalent bonding.

The ionic bond found in the salt sodium chloride is an illustration of this type of connection. The valence electron from sodium is transported to chloride's outer electron shell.

Thus, option A is correct.

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DUE IN 10 MINUTES I WILL MAKE YOU BRAINILIST

Answers

Answer:

Ernest Rutherford postulated the nuclear structure of the atom, discovered alpha and beta rays, and proposed the laws of radioactive decay. He received the Nobel Prize in Chemistry in 1908.

Erwin Schrödinger proposed the quantum mechanical model of the atom, which treats electrons as matter waves. ... The Heisenberg uncertainty principle states that we can't know both the energy and position of an electron.

hope it helps

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