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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 the derivative of 1/x?

The derivative of a linear function is always its gradient

In the function y = x-1, the gradient is 1 as 1 is the co-efficient of 1x.

Are zero and infinity numbers?

If you mean are they distinct numbers like 22 and 476, then zero is and infinity is not.

* I do not own a car, so I have 0 cars. That is the number of cars I own.

That sort of statement cannot be made about an infinite 'quantity'.....

There are 60 minutes in an hour.... there is an infinity of minutes in eternity.

What is the answer for 5x plus 7 equals 4?

5x + 7 = 4
subtract 7 from both sides
5x = -3
divide both sides by 5
x = -3/5

How does the period of a pendulum related to how hard the pendulum is pushed?

It shouldn't relate at all.

The period of a pendulum depends only on its length,

not on how far it swings side-to-side.

What is the function of a period?

Period of a Periodic Function is the horizontal distance required for the graph of that periodic function to complete one cycle.

What is -4x plus 3 equals -5x plus 3?

-4x + 3 = -5x + 3

add 5x to each side

x + 3 = 3

subtract three from each side

x = 0

What is five plus five minus five?

A.

5+5-5=

10-5=

5

..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... .....

B.

5+5-5=

5+0=

5

..... ..... ..... ..... ..... ..... ..... ..... ..... ..... ..... .....

C.

5+5-5=

-5+5+5=

-5+10=

5

What does it mean to translate a vector?

Translating a vector is sliding it parallel to the axes - without changing its magnitude or direction.

If 3x 5 then 5 3x?

The browser which is used for posting questions is almost totally useless for mathematics since it strips out most mathematical symbols. It is, therefore, impossible to tell what your question is.

If the relationship is reflexive then the answer is yes, and if not, it is no.

What are the possible values of x y and z when 2x plus 3y plus 5z equals 0.7 showing correctly worked out examples?

If: 2x+3y+5z = 0.7

Then let 0.7 be the numerators of three fractions and their denominators be three times the coefficient of the variables:-

So: 2*(0.7/6)+3*(0.7/9)+5*(0.7/15) = 0.7

Therefore: x = 0.7/6, y = 0.7/9 and z = 0.7/15

Or: x = 7/60, y = 7/90 and z = 7/150