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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
Yes, contrapositives are always true, as long as the original statement stood true.
Can you please show that first derivation is piecewise continuous?
Assuming you mean "derivative", I believe it really depends on the function. In the general case, there is no guarantee that the first derivative is piecewise continuous, or that it is even defined.
How do you accurately measure the temperature of a substance?
We ca use thermometers, thermocouples, resistance thermometers, pyrometers etc.
What is the solution to the integral x2?
You want to integrate X2 ? Add one to the exponent and divide by that number.
= X3/3 + C
==========Power rule.
Or...bring fraction out front as I like to do.
= (1/3)X3 + C
==========
What is x if the equation is 6x-10 equals 10x equals 32?
you just only need the first 2 parts of the equation! 6x-10=10x so you have to minus 6x each side: so 6x-6x-10=10x-6x, so it turns to -10=4x. Then you have to divide -10 by 4. so -10/4=-2.5 so x is -2.5.
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What is the solution for x in this problem 3 equals x plus 3-5x?
3=x+3-5x
subtract 3 from both sides
0=x-5x
combine
0=-4x
0=x
How do you solve linear equation 2x plus 3xy-4y equals 10?
2x+3xy-4y=10
to solve for y
your objective will be to get y by itself on one side of the equal sign
you first subtract 2x to get the terms with y variables on one side
3xy-4y=10-2x
then undistribute the y from the two terms to get one y
y(3x-4)=10-2x
now divide 3x-4
y=(10-2x)/(3x-4)
theres your answer
How do you factor 2x squared - 9x plus 10?
2x2 - 9x + 10 = 2x2 - 4x - 5x + 10 = 2x(x - 2) - 5(x - 2) = (x - 2)(2x - 5)
count by fives eight times to get your answer.
5, 10, 15, 20, 25, 30, 35, 40 5*8=40!
Limit x approaches 1 x minus 1 divided by x cubed minus 1?
limx->1 (x-1)/(x^3-1). You can factor and solve it that way, but I'm going to show a cooler way to do it: If you've heard of L'Hopital's Rule, then you know that limx->1 (x-1)/(x^3-1)=limx->1 (1/3x^2)=1/3(1)=1/3
How do you prove tan x plus sin x equals 2 tan x?
This would be a real bear to prove, mainly because it's not true.
What does one hundred and twenty two thousand six hundred and eighty two divided by two equal?
122682 / 2 = 61,341
What form does a linear function take?
A linear function when graphed takes the form of a straight line.
If 6x-3 equals 2x plus 1 What does x equal?
6x - 3 = 2x + 1
Add 3 to each side:
6x = 2x + 4
Subtract 2x from each side:
4x = 4
Divide each side by 4:
x = 1
