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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 is y equals x plus 2 when x equals -1 and y equals 5?

If [ y = x + 2 ], then x is not -1 when y = 5.

If [ y = x + 2 ],

then when x = -1, y = 1,

and when y = 5, x = 3.

How do you solve the problem x plus one third equals 144?

x + 1/3 = 144
solve for x
x = 144-1/3
change the fraction to a decimal
x = 144-0.333
x= 143.667

How do you Solve for n n4 equals 12?

Step 1: 4n=12

Step 2: divide both sides by 4

Step 3: 4n/4 = 12/4

Step 4: reduce

Step 5: n=12/4

Step 6: n=3

What is the minimum and maximum points of y equals x2-4x plus 5 all over x-2?

(x-2) is not a factor of the numerator and so y tends to minus infinity as x approaches 2 from below. As x approaches 2 from above, y tends to plus infinity. There are, therefore, no maximum or minimum values for y.

What is the solution to -7t equals 42?

-7t = 42

Multiply each side by -1:

7t = -42

Divide each side by 7:

t = -6

Why is the line of y equals 5 is a horitzontal line?

Because the only Y value that a point on the line can have is 5. and if you can only have points with a Y value of 5 you will have a line that runs straight on the 5th step of your graph.

What makes a function?

A function has an input and an ouput. Each input can only have one output.

Examples of functions:

x = y

y = x2

y = cos(x)

where y is the output and x is the input.

How do you solve 6a equals 0.24?

You need to isolate a. To do this, divide both sides by six, and you're left with a=0.04.

How many 4 inch tile to cover 10 X 10 area?

If it is a 4inch by 4inch (1/3foot by 1/3foot)tile and it covers a 10ft by 10ft area then it will take 900 of these tiles to cover the whole floor.

If you walk ten feet on a edge of this floor then you will have to place 30 tiles along this edge. Since the area is a square area then to find the amount of tiles just multiply 30 by 30 to get 900tiles.

How do you solve x plus 13 over 20?

To solve for x, we'd have to know what this expression equals.

What are the first a thousand digits of pi?

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679 8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196 4428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273 724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609...

How do you find an angle of a right angled triangle if you know 2 sides?

You use the Pythagorean theorem, which can only be applied to right triangles:

a2+b2=c2, where a and b are the triangle's legs and c is the triangle's hypotenuse.

Plug the two sides you know into the equation, then solve for the unknown side.

What are the second million digits of pi?

Those are the digits that immediately follow the firstmillion and precede the third million digits, of pi. You can work them out very easily, of course. You will find it will help you, to group the digits, leaving a blank space after every million digits. If you choose to calculate three million places, it will be the middle group, which you can hardly miss!

Caution: remember that the '3' that begins pi, precedes the decimal point and counts as a digit; thus, the first group will contain only 999,999 places after the decimal. For goodness sake, don't let yourself fall into that easy trap!

Also, some people have found a calculator to be helpful; although some others will prefer to do it in their heads.

When you have found the answer, be sure to post it here, and some eager person who has lots of time will be very happy to check it for you.