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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 y equals 2xexponent2 plus 3x-1?

y=2x2 + 3x-1

To find the zeros of this equation (when y=0) set the equation = 0

0=2x2 + 3x-1

Now, you can either graph the equation in a graphing calculator and find the x intercepts (where the function crosses the x-axis and y=0) or you can factor the quadratic equation by "smiling" or reverse foiling. However, this equation cannot be easily factored. Therefore, using a graphing calculator will provide the correct answer of x= -1.780776 and x= 0.28077641

You can also use the quadratic formula

where the general form of a quadratic equation is ax2 +bx+ c=0=y

In order to use the quadratic formula, you simple plug the corresponding values into the x= equation. This will produce the same results as graphing and finding the x intercepts.

What is -8.3 equals x plus 6.1?

x + 6.1 = -8.3

Subtract 6.1 from each side:

x = -14.4

What has the author B Y Tse written?

B. Y. Tse has written:

'Autobiography of the woman soldier'

The eccentricity of hyperbola 3x power 2 minus y power2 plus 4i The answer is 2 how?

There is no equation in the question: only an expression. Also, is there meant to be an i after the 4?

Please edit the question to include more context or relevant information.

Why does a plus b times a minus b work what is special about it and why does it work in questions like the root 6 plus root 5 times root 6 minus root 5 what is special about the answer?

(a + b)*(a - b) = a2 - ab + ab - b2 = a2 - b2

The expression is often referred to as DOTS = Difference Of Two Squares. What is special about it is that the answer contains only the squares of the two terms while the cross-products cancel out.

So (√6 + √5)*(√6 - √5) = (√6)2 - (√5)2 = 6 - 5 = 1

The above result is used to simplify surds and, in particular, to rationalise their denominators.

5 x 10n equals 0.005 what is the formula for this equation?

If you're asking for a SOLUTION,

5 x 10n=0.005

=> 50n=0.005

Divide 50 for the both side

=>n=0.005/50.

What is the answer to the equation -x2 plus x plus 20 equals 0?

There are two answers: -4 and +5 .

(If that baffles you, it's only because

you're not sure what the question is.)

When y equals 2 when x equals 3?

y = x - 1

Or an infinite number of other equations. You'll need to be more specific.

What is the max height of the Frisbee in the equation y equals -0.02d to the power of 2 plus 0.04d plus 1?

Y = -0.02 d2 + 0.04 d + 1

The function is maximum where its first derivative is zero.

0 = -0.04 d + 0.04

d = 1

Y = -0.02 + 0.04

Y = + 0.02

That's the maximum value of the function given in the question. If we knew how

that function relates to the height of a frisbee, we might be able to provide an

actual answer to the question.