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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

How do you graph y equals one third x - 3?

Choose about 4 values for x, and evaluate (1/3)(x-3) for each value. In this case if you use multiples of 3 for the x's, the y-values will be whole numbers.

Plot the points represented by each pair (x,y). If your work is correct, you will be able to draw one straight line through all the points.

What does y equal if x equals 3?

y can be anything at all, as it represents an independent variable. In a concrete example, one may have x representing a family size, but y could be anything - even something totally unrelated, like how many elephants there are! One of the many purposes of graphing x with y is to demonstrate a relationship between them that can then be described as a function, which hopefully provides insight into the world.

What does a credit derivative refer to?

A credit derivative is a financial instrument which separates and transfers some of the credit risk of a loan. Some examples of credit derivatives are credit linked notes or credit default swaps.

How do you do a Equation?

perform the same operation(add, subtract, multiply or divide) to both sides until you isolate the unknown on one side of the equation

How much meters make a centimeter?

there are 1000cm =1 m the term centi is 100th so 100cm makes 1m, 1cm is 0.01 of a meter

What is X² plus 5x plus 10 equals 0?

x² + 5x + 10 = 0

What two numbers multiply to get 10 and add to get 5? (1,10)? (2,5)? No.

There are none, so go to the quadratic formula to get the answers.

(-b±√(b²-4ac))/2a

(-5±√(25-40))/2 {{Uh-oh. Negative determinant, so no real answers at all.}}

(-5±√-15)/2

Answers are (-2.5 + 1.9365i) and (-2.5 - 1.9365i) ■

Determine the number of logs in the pile if there are logs stacked in a pile in which there are 21 logs in the bottom row and 15 logs in the top row if there are seven rows?

Firstly, the 1st row has 21 logs, the last has 15. The difference is 6, though the number of terms is 7. (21 - 14 = 7), and 7/7 (per row) is 1. Thus, it decreases by 1 every row. So we have an addition problem:

21 + 20 + 19 + 18 + 17 + 16 + 15 = 3(36) + 18 = 108 + 18 = 126.

How much does a 2 x 4 x 8' board weigh?

That depends on the density of the board. I can tell you this much: the board's volume is 2*4*8ft, which is 64ft. Feet aren't generally a unit of volume; the fact that they are in this case shows that the board is 1-dimensional. Unless you meant to give the rest of the numbers apostrophes as well, in which case the board's volume is 2ft*4ft*8ft, which is 64ft3. Anyway, from that point, you'll need the density to figure out the mass, which you'll need to figure out the weight. That brings up another question: are you talking about weight on Earth? Mehh, you probably are.

How do you find direction of a vector?

Consider the space defined by orthogonal unit vectors iand j. Let ai + bj be a vector in that space. Its direction is arctan(b/a) provided a � 0. If a � 0, the direction is pi/2 radians (or in the jdirection).

Angles are measured from the positive direction of the iaxis in the anticlockwise direction.

What is one important difference between solving equations and solving inequalities?

One important difference between solving equations and solving inequalities is that when you multiply or divide by a negative number, then the direction of the inequality must be reversed, i.e. "less than" becomes "greater than", and "less than or equal to" becomes "greater than or equal to".

Actually, from a purist's sense, the reversal rule also applies with equations. Its just that the reversal of "equals" is still "equals". The same goes for "not equal to".

How do you graph x equals equations Like x equals 7y2?

-- make a list of 20 or 30 small numbers

-- one at a time, put each number in place of 'y', and figure out what 'x' is

-- mark a point at the pair of numbers you have for (x, y) on the graph

-- after a while, you'll start to see the graph take shape, and you can fill in the gaps between the points

Are there any solutions to these inequalities y-5x plus 2 and y-5x-3?

No, there are not, and here's why: to solve for this kind of problem, you will need to set both equations equal to each other. This will give you y - 5x + 2 = y - 5x - 3, You can subtract a y and a -5x from both sides, and this will leave you with 2 = -3, which is, of course, an impossibility. There are therefore no solutions to these inequalities.

Is y equals x-1a funcation or non-funcation?

When you are determining whether an equation is a function or not, you have several options for doing so. The first is to graph it. From there, you can use the vertical line test (if at any point on the graph a vertical line will touch no more than one point, then it is a function). You can also make a chart that lists enough points on the graph that it will give you an idea of whether or not it is a function. You third option is to compare it to other, simpler functions: in this case, y = x. You know that y = x is definitely a function, and that is is a straight line going through the origin and rotated 45 degrees clockwise from the y-axis. Subtracting one from this function only moves it down one unit so the line will cross at y = -1 instead of y = 0. The negative one acts as the "b" since this equation is in y = mx + b, form, so that is where it crossed the y-axis. It is, then, a function.

Who played nightcrawler in X-man 2?

You can find this kind of information on IMDB.com.

Alan Cumming plays the part of Kurt Wagner the Nightcrawler.

The title of the movie is X2

19x plus 1 x plus 37?

19x+1x+37=0 First add the 19x and 1x together

20x+37=0 Next subtract 37 to the other side

20x=-37 Now divide both sides by 20

x=-20/37