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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

2xsquared plus 2y - 8 equals 0 factorise?

2x2 + 2y - 8 = 0

2(x2 + y - 4) = 0 and other than removing the two outside the bracket, this cannot be factorised further, nor simplified.

Is 2 to the power of x a polynominal?

No, 2X is an exponential function. In order to be a polynomial, the terms of an expression must be in the form AxN, such as in 3x2 + 5x - 15.

Can y equals 3 be linear?

Yes, y=3 is a linear function.

In fact, its graph is a horizontal line (parallel to the x axis), because it sets a constant value for y (for all values of x, y=3).

How do you sketch the graph for x plus y equals 65?

subtract the x to the other side to get y=-x+65. its a straight line crossing the y-axis at 65 with a slope of -1.

What is l nx plus one half ln y minus 5ln z as a single logarithm?

ln(x times root(y) / z5)

ln(x times root(y) / z5)

ln(x times root(y) / z5)

ln(x times root(y) / z5)

What is x if x cubed plus eight equals zero?

x3 + 8 = 0, then x3 = -8, therefore x = -2

-2 x -2 = 4

4 x -2 = -8

When x equals 10 y equals 13?

This is a point on the cartesian coordinate plane... (10,13)

What is the slope of y equals a nevative eightteen x plus seventeen?

When written in this form the number in front of the x or its coefficient is the slope of the line. slope is -18/1 It goes down 18 and to the right 1.

How do you solve 12y equals 125-2y?

12y = 125 - 2y

Add 2y to each side:

14y = 125

Divide each side by 14:

y = 125/14 or (112 and 13/14)

What is the mathematical technique called to solve 2x equals 5?

It's called "elementary algebra".

It looks like this:

2x = 5

Using the axiom "If equals are divided by equals, the quotients are equal.",

divide each side of the equation by 2:

x = 2.5

4 x plus 4 plus 14 equals 54?

4x + 4 + 14 = 54

4x + 18 = 54

4x = 54 - 18

4x = 36

x = 36/4

x = 9

Check:

4(9) + 4 + 14 = 54

36 + 18 = 54

54 = 54