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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 values of the variables when the equal terms of 3x plus 5y plus 7z have a sum of 357 showing work?

If 3x, 5y and 7z are equal terms, them each of them will equal one third of 357, or 119.

3x = 119

x = 39 and 2/3

5y = 119

y = 23 and 4/5

7z = 119

z = 17

Is y equals x differentiable at origin?

Yes, but only if the domain is the real numbers. The derivative is y = 1.

What is negative 3 plus 2x equals negative x plus 6?

Equation: -3+2x = -x + 6

Like Terms:

2x + (x) = 6 + (3)

Move the -x to the left (becomes +x) and move the -3 to the right (becomes +3)

We now have:

3x = 9

Divide both sides by 3:

(3x)/3 = 9/3

The solution is:

x = 3

Check:

-3 + 2(3) = -(3) + 6

-3 + 6 = 6 - 3

0 = 0, solution is correct

Why in dissolution S1 stage limit is Q plus 5 percent and in S2 stage is Q percent?

because dissolution involves the changing of substances from q plus 5 but when s2 stage is present q is removed

What type of lines of lines are these y equals 2x and 2y-x plus 4?

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. The second line is, in fact not a line because all you have is an expression, not a equation.

Depending on where the equality sign appears, the two lines could intersect at right angles of not.

Is 3y plus 2 equals 0 a linear function?

It is not a linear function because it is missing x as the input variable

How is length of tangent formula calculated?

A tangent is a straight line and so is of infinite length. There is nothing in the question to suggest otherwise so the answer is simple: a tangent is of infinite length.

A tangent is a straight line and so is of infinite length. There is nothing in the question to suggest otherwise so the answer is simple: a tangent is of infinite length.

A tangent is a straight line and so is of infinite length. There is nothing in the question to suggest otherwise so the answer is simple: a tangent is of infinite length.

A tangent is a straight line and so is of infinite length. There is nothing in the question to suggest otherwise so the answer is simple: a tangent is of infinite length.

How do you calculate circular curve?

x2 + y2 = r2

Where "x" and "y" represent the co-ordinates of any point on the curve relative to it's center point, and "r" represents it's radius. If you want to specify a curve that goes around a specific point (we'll call it {a, b}), then that can be expressed as:

(x - a)2 + (y - b)2 = r2

What is the Difference between a natural log and a log with base 10?

The natural log of a number is some other number such that if you take e (2.718281828...) and raise it to that other number you would get the first number. Another way to say this is that a natural log is a log with base e.

The common log of a number is some other number such that if you take 10 and raise it to that other number you would get the first number.

The natural log base, e, is a special transcendental number, chosen so that the derivative (respect to x) of ex is equal to ex . In other words, the slope of a tangent line to the curve y = ex at point (x, ex) is equal to ex for all x

What is x to the power of 2 plus 10X minus 4 factored?

There is no simple factorisation because the quadratic expression does not have rational roots. Irrational roots are not used in factorisation.

Does an object with a constant speed have an acceleration?

If it's moving in a curve or some other non-straight path, then yes.

If it's moving in a straight line, then no.

How do you find the value of x in -2-8 x 40?

Let me assume that this equation is -2 -8x = 40

It's usually best to move all the purely numerical items to one side first. Let me move the -2. Then, to do this I add 2 to both sides.

-2 - 8x +2 = -8x = 40 + 2 = 42 or -8x = 42

Now, to yield x 'by itself' let me divide both sides by -8.

(-8x)/-8 = x = 42/(-8) = -21/4 or x = -21/4

How do you work out 2x plus 43 equals 5x plus 13?

well you first get the 43 and take away 3 to make it 40, then you divide it by 8 to give you 5 so thats how 2x becomes 5x. Then you add 2 x 5 which = 10 then you add the 3 that was taken away from the 40 so you come out with the solution of: 2x + 43 = 5x + 13.

What does the equation y-x mean?

y-x is an expression, not an equation. Therefore, the question does not make sense.

How do you factor 3x cubed x squared minus 25?

well, i believe it goes like this (not certain)

25 is the only not prime number so...

3xcubed x squared -5 squared

How many solutions does the equation y equals 2X plus 1 have?

An infinite number. Each solution is a pair of numbers that makes a true statement

when they're stuck in place of 'x' and 'y'.

Any pair of numbers will do it, just as long as the 'y' number is one more than double the 'x' number.