0
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
Rough estimate is that one btu is enough energy to change the temperature of one pint of water, one degree over a period of one hour.
Where is a pendulum the fastest?
A pendulum is fastest at the lowest point of its swing, where its kinetic energy is maximum. At this point, all the potential energy has been converted into kinetic energy, resulting in the highest speed of the pendulum.
How many inches equals 39.5 mm?
1.55511811023622 inches
and after all that, the answer is only approximate!
Direct Conversion Formula
39.5
mm
*
1 in
25.4 mm
=
1.55511811
in
How many digits can you remember in pi?
here is 150 digits of pi by memory;
3.14159265358979323846264338327950288419716939937510582097494459230781640
628620899862803482534211706798214808651328230664709384460955058223179408128
Think of this a 12 x-rays + 5 x-rays
Makes 17 x-rays.
12x+5x=17x
this is an equation of a line. it has a slope of 4/3 and a y-intercept of 5
Think of ln 1 as "e to what power will given me 1." Anything to the zero power will give you 1. So, ln 1 = 0, and 0/2 = 0
If 3 many is a satarday what is 20 many?
3 many =Saturday
3X7 many =21 is also Saturday
So 20 many is one day before Friday.
While 3 is a number multiplying, it's a coefficient. That has x as is its factor.
What is the answer to 3x-y equals -1when x equals -2?
3x - y = -1
x = -2
3(-2) -y = -1
-6 - y = -1
-y = 5
y = -5
The abbreviation for degrees is a little circle written above the numerical value (somewhat like an exponent). It looks a little like this: 98o (98 degrees).
Factorise x squared -2x plus 3?
Despite my serious qualms with the wording of your question, I am assuming it to be the factoring of x2-2x+3
This is not factorable. As long as there is a positive 3 in the position of the constant element, there can only be -4 or 4 for the coefficient of the single x. Perhaps you made an error in entering the question, so I will provide some likely alternatives.
If the trinomial read as x2-2x-3, then it would be factorable and would be (x-3)(x+1)
If the trinomial read as x2-4x+3, then it would be factored as (x-3)(x-1)
If the trinomial read as x2+4x+3, then it would be factored as (x+3)(x+1)
If 4x-5y equals 4 and 6x-7y equals 10 what is the value of x?
4x - 5y = 4 & 6x - 7y = 10
This is a pair of simultaneous equations. Re-write as
4x - 5y = 4
6x - 7y = 10
To find the value of 'x; we need to eliminate 'y'
To do this multiply the top eq'n by '-7' and the bottom equation by '5' . This brings the coefficients of 'y' to the same value, but one is plus(+) and the other is negative(-).
Hence
-28x + 35y = -28
30x - 35y = 50
Add the two eq'ns, this will eliminate 'y'
2x = 22
x = 11
What is the x value in x2-4 equals 0?
x^2 - 4 = 0
What you have to recognise is that the constant '4' is a 'squared number.
4 = 2^2
So we can write
x^2 - 2^2 = 0
Next remember that two squared terms with negative between then, factors.
Hence
x^2 - 2^2 = 0
=>
( x - 2)(x + 2) = 0
NB Note the plus (+) sign in the second bracket.
Hence
x - 2 = 0
x = 2
&
x + 2 = 0
x = -2
So 'x' can take two values, they are '(+)2, & -2'.
NB Note that two squared terms with a plus(+) between then , does NOT factor. e.g. the Pythagorean equation. c^2 = a^2 + b^2
