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Calculus

The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.

500 Questions

What is the cube root of 26?

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Asked by Wiki User

To find the CUBE root , we note that 27 is 3^(3) . So '3' is the cube root of '27'.

Also 8 = 2^(3) . so '2' is the cube root of '8'.

So the cube root of 26 is between '2' & '3'.

Since it is very close to '3' ; (by 26 & 27) they we can try 2.9^3

2.9^(3) = 24.389 (2.9 is too low) So try 2.95

2.95^(3) = 25.67.. ( Still too low) Try 2.975

2.975^(3) = 26.333 .. ( Now too high) So try 2.97

2.97^(3) = 26.198 ( Too high Try 2.968

2.968^(3) = 26.145... (Too high ; try 2.965

2.965^(3) = 26.065... (Too high : try 2.964

2.964^(3) = 26.0396 (Too high )

You keep trying like this. Until you find the root to the required number of decimal places.

However on the calculator 26^(1/3) = 2.962496068....

What is the range of the function y 2sin x?

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Asked by Wiki User

The answer will range between '2' & '-2'

Reason; The Sine function ranges between '1' & '-1' , so if it has a coefficient of '2', this will increase the range to '2' & '-2'.

What is y cubed minus two y squared plus 4 y?

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Asked by Wiki User

y^(3) - 2y^(2) + 4y

Factor out 'y'

Hence y(y^2 - 2y + 4)

This will not factor any further.

What are the exact solutions of x2 equals 5x plus 2?

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Asked by Wiki User

x^(2) = 5x + 2

x^(2) - 5x - 2 = 0

This does NOT factor so apply the Quadratic Eq;n

x = { - - 5 +/- sqrt[(-5)^2 - 4(1)(-2) }} / 2(1)

x = { 5 +/- sqrt[25 + 8]} / 2

x = { 5 +/- sqrt(33)} / 2

x= { 5 +/- 5.7445... } / 2

x = 10.7445... / 2 = 5.37228....

&

x = -0.7445626... / 2 = -0.37228...

What is the answer for a x b x c?

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Asked by Wiki User

if x = multiplication. its as written, which would be abc

ex. 3x4x5 = (3)(4)(5) = 60

if x= cross production, then

you cross axb first, then bross (axb) x c where (axb) is wut u got by crossing axb. This is if u have no brackets. its just axbxc

Does sine 40 equal sin 20?

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Asked by Wiki User

NO!!!

Sine40 = Cosine50 = 0.64278...

Sin30 = Cos 60 = 0.5

Sin 0 = Cos 90 = 0

Sin 90 = Cos 0 = 1

From Latin the word 'Sine' means 'curve'. Cosine means 'Complimentary Sine' or Complimentary curve'.

The 'awkward' decimal numbers are based on a the radius of a circle, that radius being the hypotenuse of a right- triangle based at the circles origin/centre.

Find the value or values of y in the quadratic equation y to the second power plus 4y plus 4 equals 7?

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Asked by Wiki User

y^2 + 4y + 4 = 7

Hence

y^2 + 4y -3 = 0

Apply the Quadratic Eq'n

y = { - 4 +/- sqrt[(4)^(2) - 4(1)(-3)]} / 2(1)

y = { -4 +/- sqrt[ 16 + 12]} / 2

y = { 4 +/- sqrt(28)]}/ 2

y = {4 +/- 5.2915....} /2

y = 9.2915/// / 2 = 4.64575....

&

y = -1.2915... / 2 = -0.64575....

What is the answer to a x a x a plus b x b x b equals c x c x c?

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Asked by Wiki User

well it could be anything, but I think you are thinking of Pythagoras' theorem.

a(2) x b(2) = c(2) (2) = squared

What does c equal?

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Asked by Wiki User

In math, a number signified by "C" is a constant number. A constant is the opposite of a variable. While a variable changes, a constant will always stay the same.

For example, in the equation y = 4x + 10, 10 is a constant. If you did not know the value of 10 (for example, if you had just integrated), it could be written as y = 4x + c.

What is x squared plus 12x plus 36 equals?

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Asked by Wiki User

Equate it to zero (0) , and you have a quadratic equation that can be factotred.

Hence

x^2 + 12x + 36 = 0

(x + 6)(x + 6) = 0

Hence x = -6

What if your class has 8 women and 19 men Write the number of women to men as a ratio and as a quotient What percent of the class are women?

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Asked by Wiki User

The ratio of women to men is 8:19. The quotient of women to men is 8/19. The percentage of women in the class is 30.8%.

How much of the world's population knows calculus?

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Asked by Wiki User

It is difficult to determine exactly how many people in the world know calculus, but based on education statistics, we can estimate that a small percentage of the world's population has been exposed to calculus, typically those who have pursued higher education in mathematics or related fields.

The population of a country increases by 2.5 percent yearly if the population is 25 million in 1960 the population in the year 2000 would be?

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Asked by Wiki User

To find the population in the year 2000, you can use the formula:

Population in 2000 = Population in 1960 * (1 + growth rate)^number of years

In this case, the growth rate is 2.5% or 0.025, and the number of years between 1960 and 2000 is 40. Plugging in the values, you get:

Population in 2000 = 25 million * (1 + 0.025)^40 ≈ 105.92 million

Minutes in a month?

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Asked by Wiki User

There are 24 hours in a day and 60 minutes in an hour. So,

24 * 60 = 1440 minutes in a day

================================================you can figure out othe month lengths yourself now

What is x to the power 0.5?

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Asked by Wiki User

x0.5 is the same as x1/2

Any number or variable to a fraction power can be written as a form of a radical.


In this case it would be written as √(x)


To actually solve you would need to know what x is.

Research and identify 5 different building in Philadelphia representing 5 different architectural styles?

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Asked by Wiki User

  1. Philadelphia City Hall: Represents Second Empire style.
  2. Eastern State Penitentiary: Represents Gothic Revival style.
  3. Reading Terminal Market: Represents Victorian style.
  4. Comcast Center: Represents contemporary modern style.
  5. Philadelphia Museum of Art: Represents Greek Revival style.

What are tha elements of science?

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Asked by Wiki User

The elements of science include observation, data collection, hypothesis formation, experimentation, analysis of results, and drawing conclusions. These elements form the basis for the scientific method, which is a systematic way of investigating the natural world.

What percentage of high school teach Latin?

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Asked by Herb123

In Britain, around 60% of independent schools and 15% of state schools offer lessons in Classics, including Latin.

In 2008:

- over 130,000 students in the US took the National Latin Exam.

- around 3 dozen schools in New York City taught Latin

In 2009, 7 schools in Washington State offered Latin.

What are a list of words that add up to 100?

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Asked by Wiki User

Discipline and Attitude are the words that add upto 100

What is x in x3 equals 5.231010?

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Asked by Wiki User

x^(3) = 5.1231010

Take the cube root

Hence

x = 5.231010^(1/3)

x = 1.735915243

Is pre-calculus honors difficult from a normal algebra 2 class i have an A in algebra 2 and its getting to the point to where its kinda boring what do i have to learn to be prepared?

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Asked by Wiki User

Pre-calculus honors covers more advanced topics than algebra 2, such as trigonometry and limits. To prepare, focus on strengthening your algebra skills, particularly with functions, graphs, and equations. Additionally, familiarize yourself with trigonometric functions and properties to ease the transition.

Where did Ada lovelace do most of her work at?

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Asked by Wiki User

Ada Lovelace did most of her work in collaboration with Charles Babbage at his home in London. She was instrumental in developing algorithms for Babbage's analytical engine, making her a pioneer in computer science and the first computer programmer.