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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 answer to 3x to the 3rd power minus 10x equals 17x and how do you find it?

3x3 - 10x = 17x divide by x to both sides
3x2 - 10 = 17 add 10 to both sides
3x2 = 27 divide by 3 to both sides
x2 = 9
x = ±√9
x = ±3

What is the evolute of a catenary?

The curve given by (t-sinh(t)cosh(t), 2 cosh(t)), t real.

What is x2 plus 7x equals - 2x2 plus 6 in the form ax2 bx c equals 0?

x2 + 7x = 2x2 + 6

x2 - 2x2 + 7x = 6

-x2 +7x - 6 = 0 or alternatively x2 - 7x + 6 = 0

How do you solve x for 5x 2-4x-672?

You need to find two factors of 5*672 = 3360, whoxe difference is 4: these are 56 and 60.

Then 5x2 - 4x - 672 = 5x2 - 60x + 56x - 672 = 5x(x - 12) + 56(x - 12)

= (x - 12)*(5x + 56)

Solve this equation using substitution 3x plus 2y equals 2 and -2 plus y equals 8?

From second equation: y = 8 + 2x

Substitute for y in first equation: 3x + 16 + 4x = 2

ie 7x = -14

ie x = -2 and y = 4

What is a squared plus 5a plus 6 divided by a minus 2?

(a2 + 5a + 6)/(a - 2) = (a + 2)*(a 3)/(a - 2) which cannot be simplified further.

It can, however be written as (a2 - 2a + 7a - 14 + 20)/(a - 2)

which is (a + 7) + 20/(a - 2)

What are the steps of solving radical 2x 4 equals 8?

The first step is to ensure that the symbol between 2x and 4 is visible to whoever is trying to answer the question. Unfortunately this browser is not up to that task so you will need to re-submit the question with "plus" or "minus" etc replacing symbols.

What is the solution to y equals negative x plus 2?

solving for y: y = - x + 2

solving for x: x = -y + 2

solving for an actual number: you can't. there isn't a way to get a number out of that equation.

What are the inequalities describing the flat surface of a washer that is one and a half inches in diameter with an inner hole of diameter three fourths inches?

Given the information in the question, there is no need for any inequality. the flat surface can be described as an equality.

Outer diameter = one and a half inches => outer radius = 0.75 inches.

Inner diameter = three fourths inches => inner radius = 0.375 inches.

Area = pi*(0.752 - 0.3752) square inches.

So one possible set of inequalities is 0 < area < 1,000,000,000 sq inches!

What is the value of x in 6-3x equals 5x-10x plus 12?

6x - 3x = 5x - 10x + 12

6x - 3x - 5x + 10x = 12

8x = 12

8x/8 = 12/8

x = 12/8 = 3/2

x = 1.5

What is litho log?

Litholog as the name suggests is the systematic record of lithology in a vertical section or a core.