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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.

25,068 Questions

What are the applications of det of a matrix?

it is used to find the inverse of the matrix.

inverse(A)= (adj A)/ mod det A

What is three times the greatest of three consecutive even integers exceeds twice the least by thirty eight what are the integers?

Three consecutive even integers are: 2x, 2x+2, and 2x+4.

I think the question says: 3(2x+4) = 2(2x) + 38

Eliminate parentheses:

6x + 12 = 4x + 38

Subtract 4x from each side:

2x + 12 = 38

Subtract 12 from each side:

2x = 26

2x+2 = 28

2x+4 = 30

=================================

Check:

Three times the greatest= 90

Twice the least = 52

90 exceeds 52 by 38 yay!

How do you find the sine cosine and tangent on a calculator?

If your calculator does not have sin, cos and tan buttons then you have a long task ahead.First, if the angle is measured in degrees, convert it to an angle measured in radians. To do this multiply the angle by pi and divide by 180.


Then

sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ... where k! represents 1*2*3*...*k.

cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...

Keep going until the series converges.


tan(x) is most easily calculated as sin(x)/cos(x).

How do you solve -5x³ plus 3x²-8x plus 2 when x equals -2?

The given equation is,

-5x³ + 3x² - 8x + 2

Substituting the value of x in the above equation, we have

= -5(-2)³ + 3(-2)² - 8(-2) + 2

= 40 + 12 + 16 + 2

= 70

Hence on substituting the given value of x in the equation, the resultant answer is 70.

Need help with working this Trig problem out. A sin alpha plus cos alpha equals 1 B sin alpha - cos alpha equals 1 Solution is AB equals 1?

A*sin(x) + cos(x) = 1B*sin(x) - cos(x) = 1

Add the two equations: A*sin(x) + B*sin(x) = 2

(A+B)*sin(x) = 2

sin(x) = 2/(A+B)

x = arcsin{2/(A+B)}


That is the main solution. There may be others: depending on the range for x.

Can two x minus one minus sin x equals 0 prove it only have one real root?

Let f(x) = 2x - 1 - sin(x)Then f(0) = -1 and f(1) = 0.1585

therefore, since f(x) is continuous, the change in sign shows that f(x) must have a root in the interval (0, 1).


Also f'(x) = 2 - cos(x).

therefore, since cos(x) <=1, f'(x) is always >= 1

That is, f'(x) is an increasing function of x.

Therefore there cannot be another root.

Where to find Sword y in megaman 3 blue?

Sword Y chips are in green mysterydata in the ACDC and possibly Sci-Lab areas. If you trawl these areas long enough, jacking out and back in every time you finish a sweep, you'll find one eventually.

Explain log on and log in?

There really is no difference. Some people just say it differently.

What does it mean when a variable is written x?

It doesn't make much difference which letter or letters you use as variables, so it doesn't really mean much.

Y equals -2x plus 6 what is the slope?

y=-2x+6

This is in slope-intercept form: y=mx+b

slope (m) = -2

What 2x 3 equals 9x?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc.

Which number is not a solution of -7y plus 1975?

" -7y plus 1975 " is not an equation, it doesn't ask any question, and it needs

no solution.

It's just an expression that stands for a number. There's no way to know what number

it stands for until you know what number 'y' is.

What is 21 minus 5X divided by 2 10X plus 6 divided by 3?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc. Please use "brackets" (or parentheses) because it is impossible to work out whether x plus y squared is x + y2 of (x + y) 2.

There is, for example, no operator between 2 and 10X.

3.5 inches equals CM?

The answer is 8.89 cm (approx.). Inches and centimeters are both units of linear measurement. Inches are used in the imperial system whereas centimeters are used in the metric system. To convert from inches to cm, multiply the inch unit by 2.54.


To convert from inches to centimeters, multiply by 2.54.