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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 fast is a rock moving When it hits the bottom of a 39.2 m cave after 4 seconds?
0 km/h or 0 mph.
Objects accelerate at 10m/s so after 4 seconds the rock would have already hit the bottom of the cave.
What degree of polynomial is x6 plus x8 plus x3?
I'll assume you mean x6 + x8 + x3 Note if this is what you want to ask, then the best way to type it where you have no formatting capabilities would be:
x^6 + x^8 + x^3 (the carat '^' symbol means 'raise to the power of')
So the highest power of x is 8.
Is halo 1 and 2 designed for original x-box?
yes, but if you have a hard drive you can play them on xbox 360
How do you calculate the required energy for rising the tempareture from x to y of m mass of steel?
q( enthalpy of heat in Joules-energy ) = Mass of steel * heat capacity of steel * ( Temperature final - temperature initial )
How do you find the value of x when only one side is 2?
It is easy if that side is the one that is x!
It is not possible to give a sensible answer to the question because you have not bothered to specify what x is.
What is the derivative of x-to-the-power-e?
exe-1
If you require more information, send me a message, I assume that you know basic calculus but haven't used in in applications like this.
Is 7 plus x equals x plus 7 an example of the identity property of addition?
Yes, but only when x is equal to zero.
Whats the x-intetcept of y -5x 3 plus 7 3?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals". It is therefore impossible to work out what the equation might be.
What is the point of intersection of the lines 6y equals -x -25 and 6x plus 20.5 -y equals 0?
It works out that the point of intersection is at (-4, -3.5) on the Cartesian plane.
derivative of 9[sin(x)]^2 is found by first letting u(x)=[sin(x)]^2. Note that sin2x = [sin(x)]^2, and the ^2 means raising the base to the exponent 2.
Find the d(9u(x))/dx using the chain rule.
d( 9u(x) )/dx = (d(9u)/du)(du/dx ) , by the chain rule.
So we need:
d(9u)/du = 9ulog(9)
du/dx = d( [sin(x)]^2 )/dx = 2sin(x) d( sin(x) )/dx = 2sin(x)cos(x)
Puttin this together gives:
d( 9u(x) )/dx = 9u(log(9)) 2sin(x)cos(x)
Now substitute in u(x) = [sin(x)]^2.
d( 9u(x) )/dx = 9[sin(x)]^2(log(9)) 2sin(x)cos(x)
= 2 log(9) 9[sin(x)]^2sin(x)cos(x) or
= log(9) 9[sin(x)]^2sin(2x)
How do you differentiate y equals 6 sqrtx minus 3x?
y = 6*x1/2 - 3x
dy/dx = 6*(1/2)*x-1/2 - 3
= 3x-1/2 - 3 = 3/sqrt(x) - 3 or 3[1/sqrt(x) - 1]
What is the logarythym equation 2 plus 3x equals 245?
Do you mean,
2 + 3^x = 245 ??
2 + 3^x = 245
subtract 2 from each side
3^x = 243
use natural logs ( I always do, though you can use logs )
ln(3^x) = ln(243)
you have the right in this operation to bring the exponent before the natural log
x(ln3) = ln(243)
divide
x = ln(243)/ln(3) ( not ln(243/3) !!!! )
x = 5.493061443/1.098612289
x = 5
----------check
2 + 3^5 = 245
2 + 243 = 245
245 = 245
===========checks
Positive (Plus) times Negative (Minus) always equals a negative (minus).
What is an angle whose measure is greater than 90degrees?
are you talking about obtuse (91-179), a straight angle (180), or reflex (181-359)
Possibly, but I would need to know what x, a and c were.
How many times does a graph of y 5x - 1 intersect the graph of y4?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. And use ^ to indicate powers (eg x-squared = x^2).
How do you solve the inequality 300x plus 500y 3000?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc.
Furthermore, it is not possible to solve one linear equality in two unknown variables when given only one equation.
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc.
Furthermore, it is not possible to solve one linear equality in two unknown variables when given only one equation.
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc.
Furthermore, it is not possible to solve one linear equality in two unknown variables when given only one equation.
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc.
Furthermore, it is not possible to solve one linear equality in two unknown variables when given only one equation.
