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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 does x equal in this equation- 4-2y plus 2?

Since there is no x in the equation, it can equal anything at all!

What is the value of n in the expression x cubed -3x squared plus nx plus 5 when divided by x -3 leaves a remainder of 17?

By the remainder theorem, if the remainder, on division by (x - 3) is 17

then substituting x - 3 = 0 or, equivalently, x = 3 will give a value of 17 in the original expression.

Thus

33 - 3*32 + 3n + 5 = 17

So that 3n + 5 = 17

that is 3n = 12 or n = 4

_______________________

I do not see how this question can be answered when there are two unknown variables.

It is suggested above the answer is that n equals 4.

Let me substitute a random value for x.

x = 2

Would give:

(8 - 12 + 8 + 5) / (2 - 3)

= 9 / -1 = -9. There is no remainder. The remainder can not simultaneously be 0 and 17. There is an error here. (See below for why).

This question can not be answered when there are 2 unknowns.

Additional Information:-

The first answer is correct and the second answer given by another contributor is incorrect because by using the remainder theorem:-

f(x) = x3-3x2+nx+5 remainder 17

f(x) becomes f(3) because the divisor is x-3 and 3-3 = 0

f(3) = 33-3(3)2+3n+5 = 17

f(3) = 3n+5 = 17

f(3) = 3n = 17-5

f(3) = 3n = 12

f(3) = n = 4

So the value of n in the expression is 4 which makes the original answer correct.

What is the answer to 100 - 8 x 7 plus 23?

Bodmas ( brackets, powers, division, multiplication, addition then subtraction).

100 - 8 x 7 +23.

100 - 56 + 23.

100 - 56 = 44 + 23 = 67.

What is the answer for 7 plus 3 x -3?

When solving these types of problems, follow BEDMAS.

B-Brackets. You always answer the equation in the brackets first.

E-Exponents. For instance, 3 to the power of 3 isn't the same as 3x3 because you're multiplying 3x3x3=27.

D-Division

M-Multiplcation. Division and multiplication go together. For example, 8x2 divided by 4. Even when you divvide 2 by 4 first, then multiply 8 by 2, it's the same product as doing it the other way around, but you must always answer from left to right when it comes to division and multiplication; and addtion and subtraction, but with brackets as an acception.

A-Addition

S-Subtraction *These go together!

Now, using BEDMAS, you can now answer the operation.

7+3x3

=7+9 (because 3x3=9)

=16

Which point lies on 2x plus 5y equals 10?

First, in this form. Y =mX + c

2X + 5Y = 10

5Y = - 2X + 10

Y = (-2/5)X + 2

Y = 2

----------0 out equation

(- 2/5)X + 2 = 0

(- 2/5)X = - 2

X = 5

---------

(0, 2) and (5, 0)

------------------------------ points on the line

How do you multiply -2 x 3over-8 x -5over7 and put it in simplest form?

-2 * 3/(-8) * (-5)/7

There are three negatives being multiplied so the final sign is negative.

- (2*3*5)/(8*7) = -15/28

-2 * 3/(-8) * (-5)/7

There are three negatives being multiplied so the final sign is negative.

- (2*3*5)/(8*7) = -15/28

-2 * 3/(-8) * (-5)/7

There are three negatives being multiplied so the final sign is negative.

- (2*3*5)/(8*7) = -15/28

-2 * 3/(-8) * (-5)/7

There are three negatives being multiplied so the final sign is negative.

- (2*3*5)/(8*7) = -15/28

What is system dependence graph?

A program's system dependence graph (SDG) is a collection of procedure dependence graphs (PDGs): one for each procedure.

How do you solve x 18 916?

Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. There is, therefore, no equation in the question and consequently there is nothing to solve.

What is 53 x 0.5?

Anything multiplied by 0.5 is the same as halving it. In this case, half of 53 is 26.5.

What was the name of the satellite that was the first satellite to orbit earth and the craft circled earth every 95 minutes at almost 2000 miles per hour until three months later it fell from the sky?

Sputnik was the first satellite to orbit the Earth. It was Russian and transmitted a radio signal. It is possible that a earlier satellite could be in orbit, without any communications this would be the same as a cannon shell etc. So long as an object can reach orbit it will constantly drop towards the planet and because the planet is round the object will rotate around being pulled by gravity