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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 find the value of x in a rhombus with measure 2x plus 3 and 3x plus 2?

You're supposed to know that the sides of a rhombus are all the same length,

so the length and the width of the rhombus are equal, and

2x + 3 = 3x + 2

Subtract 2x from each side of the equation:

3 = x + 2

Then subtract 2 from each side:

1 = x

How do you solve 1 minus 2cos squared theta?

Since there is no equation, there is nothing that can be solved.

How can you factor x4 - 3x2 plus 2x?

First, pull out a GCF, or a greatest common factor, x, and continue from there. So it'll be x(x^3-3x+2). Then it would be x(x^2-2)(x-1) and there you have it.

How many cubic cm in 43.0mL?

A mL is the same as a cubic centimetre. So, 43.0 mL = 0.43 cc.

What is the binomial factors of t squared minus 12t minus 45?

(t + 3)(t - 15)

Ask yourself, what factors of - 45 add up to - 12 ?

t = - 3

t = 15

If y varies directly as x and y equals 18 when x equals 3?

y varies directly as x

y=kx, where k is a constant

y=18 when x=3

18=3k

k=6

y=6x

Can an object have zero velocity of the same time that it has acceleration?

Yes, of course; but it will only have zero velocity for one infinitesimal moment.

Check your calculus text.

What is the system of equation 3x plus 2y equals 6 and 2x plus 3y equals negative 1?

3x + 2y = 6

2x + 3y = -1

You can use substition, elimation, or graphing to solve this system, but I prefer to use matrices. They are difficult to type out, but the answer is x = 4 and y = -3.

What is the formula for gettting amplitude?

Wave length*2 dvided by number of waves Amplitude is the vertical distance (from crest to trough) divided by 2

Factor x to the fourth power plus 2x to the third power minus 9x to the second power plus 18x?

x4 + 2x3 - 9x2 + 18x = x(x3 + 2x2 - 9x + 18) which I do not think can be factorised further.