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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 easily balance and solve a scientific equation?
A scientific equation is basically a math equation. Those come in different kinds; each kind needs special techniques for solving. In the simplest case, you have to solve for a single variable; try to transform the equation so that your variable is on the left, and anything else is on the right.
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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 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 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.)
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.
Does being good at math help you a lot in physics and mechanical engineering?
Well, of course it does. You need a lot of math in both.
How do you solve the equation x2 - 5x plus 5 equals 0?
Use the quadratic formula:
x = [-b +&- SQRT (b2-4ac)]/2a
where a,b,c are coefficients of the quadratic equation in the form of ax2+bx+c. So in your example a=1, b=-5, c=5
x = [-(-5) + SQRT(52-4*1*5)]/2*1 & x = [-(-5) - SQRT(52-4*1*5)]/2*1
x = [5 + SQRT (5)] / 2 & x = [5 - SQRT(5)]/2
(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.
