1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erica [24]
3 years ago
15

For the rational function f(x)= 5x3-x/2x3 , identify any removable discontinuities.

Mathematics
1 answer:
Ierofanga [76]3 years ago
3 0

Answer:

Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.

A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.

Tao’s recent work is a near-solution to the Collatz Conjecture in some subtle ways. But his methods most likely can’t be adapted to yield a complete solution to the problem, as he subsequently explained. So we might be working on it for decades longer.

The Conjecture is in the math discipline known as Dynamical Systems, or the study of situations that change over time in semi-predictable ways. It looks like a simple, innocuous question, but that’s what makes it special. Why is such a basic question so hard to answer? It serves as a benchmark for our understanding; once we solve it, then we can proceed to much more complicated matters.

The study of dynamical systems could become more robust than anyone today could imagine. But we’ll need to solve the Collatz Conjecture for the subject to flourish.

Step-by-step explanation:

Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.

A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.

Tao’s recent work is a near-solution to the Collatz Conjecture in some subtle ways. But his methods most likely can’t be adapted to yield a complete solution to the problem, as he subsequently explained. So we might be working on it for decades longer.

The Conjecture is in the math discipline known as Dynamical Systems, or the study of situations that change over time in semi-predictable ways. It looks like a simple, innocuous question, but that’s what makes it special. Why is such a basic question so hard to answer? It serves as a benchmark for our understanding; once we solve it, then we can proceed to much more complicated matters.

The study of dynamical systems could become more robust than anyone today could imagine. But we’ll need to solve the Collatz Conjecture for the subject to flourish.Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.

A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.

Tao’s recent work is a near-solution to the Collatz Conjecture in some subtle ways. But his methods most likely can’t be adapted to yield a complete solution to the problem, as he subsequently explained. So we might be working on it for decades longer.

The Conjecture is in the math discipline known as Dynamical Systems, or the study of situations that change over time in semi-predictable ways. It looks like a simple, innocuous question, but that’s what makes it special. Why is such a basic question so hard to answer? It serves as a benchmark for our understanding; once we solve it, then we can proceed to much more complicated matters.

The study of dynamical systems could become more robust than anyone today could imagine. But we’ll need to solve the Collatz Conjecture for the subject to flourish.Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.

A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.

Tao’s rece

You might be interested in
Total surface area of the drawing
Crazy boy [7]
The pentagon's area is the sum of the 5 triangles that comprise it.  This is

5( \frac{1}{2}bh) \times 2=5(9)(6.2)= 279

where the factor of 2 accounts for the top and bottom.  The walls have an area of 5 rectangles

5(bh)=5(9)(6)=270 \\  \\ 279+270=549km^2
4 0
3 years ago
A point D (3, 2) is rotated clockwise through 90°. Find the new coordinates of D'.
qwelly [4]

Answer:

the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)

Step-by-step explanation:

7 0
3 years ago
Expression for "the sum of a and 4'
Masteriza [31]
Answer: a + 4
explanation: sum means what comes from two numbers being added. so you just need to add a and 4
5 0
3 years ago
Read 2 more answers
At a craft festival tuan spend $12 for food $19.50 for a small painting and $6 for a straw hat tuan had left $4 how much did tua
NeX [460]
From my info it is 13.5
8 0
3 years ago
Does anyone know the Answer for this
Klio2033 [76]
Y= -6, hope this helps
8 0
3 years ago
Read 2 more answers
Other questions:
  • pears cost $0.92 per pound and apples cost a dollar $ 1.10 per pound mr.bonilla bought 3.75 pounds of pears and 2.1 pounds of ap
    11·2 answers
  • The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min
    9·1 answer
  • (x - 2)2 + (y + 4)2 = 49
    15·1 answer
  • Question
    8·1 answer
  • Please help, this is due tomorrow
    15·1 answer
  • Use the distributive property to expand the linear expression. 3(4x + 3) A) 3 4 B) 12x + 6 C) 12x + 9 D) -3 4
    11·1 answer
  • If the friends collected 32 cans in total, how many more cans were collected by Lisa than by
    7·1 answer
  • An 8-pack of popsicles costs $0.96. What’s the unit price?
    9·2 answers
  • URGENT HELP WANTED FAST!!! DUD
    5·1 answer
  • Jason's piggy bank contained $5.70 in nickels and pennies. If there were 30 more pennies than nickels, how many of each did he h
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!