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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 slope to y equals 3x equals 5?

When the equation of a line is written in standard form: y = mx + c, the slope of the line is m.

Here, y = 3x + 5 so slope = 3

What y plus 5 equals?

The answer is y+5, unless y can be defined as a number.

52-x2 plus x equals 10?

Given that

52 - x2 + x = 10, then

-52 + x2 - x + 10 = x2 - x - 42 = (x - 7)(x + 6) = 0.

Therefore, x = 7 or -6.

How do you find the solution of 2x equals 4?

Divide both sides by two. x = 2

2x=4

2x/2=4/2 2x/2=1x=x 4/2=2

x=2

A equals P plus PYT solve for Y?

A = P + P Y T

Subtract 'P' from each side:

A - P = P Y T

Divide each side by PT :

Y = (A - P) / PT

What are the two methods of describing or writing a set?

There are way more than just 2 methods.

1. Write down the elements, works well for finite sets.

e.g.{1, 2, 3, pi, apple}

2. Sets have a pattern, P

e.g. {a | a x b < 0} (of course provided ba ahead of time)

2' Sets have a symbol or a name

e.g. Complex Numbers (denotes as a bolded C)

3. Countable sets, sets that can be written in a sequence.

Sequence (an)

Set {an}

How do you graph -2y equals 6?

-2y = 6 so y = -3

This is a horizontal line at a height of -3 units ie 3 units below the x-axis.

How do you solve 7x-2 squared equals 16?

I assume that is

(7x-2)^2 = 16

(7x-2)(7x-2) = 16

49x2 -28x +4 = 16

49x2-28x-12=0

use quadratic formula x = ( -b +/-sqrt(b2-4ac) ) /2a

x = -2/7

What is the diagonal of a 10 x 10 box?

A box is a 3-dimensional object and only two measures are given so it is not clear what the question means.

Across the base of the box, the diagonal is 10*sqrt(2) = 14.142 approx.