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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
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
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 form does a linear function take?
A linear function when graphed takes the form of a straight line.
If the factors of a polynomial are x plus 4 and x plus 8 what values of x make that polynomial 0?
-6
Check: -6+4-6+8 = 0
What does one hundred and twenty two thousand six hundred and eighty two divided by two equal?
122682 / 2 = 61,341
Time period and length of a pendulum are related by:
T = 2(pi)(L).5(g).5
so putting in the values and solving for g yields a result of :
g = 9.70 ms-2
What formula you use to determine the volume of an rectangular solid?
V = l x w x h
l - length
w - width
h - height
If you mean: x+7y = 39 and 3x-2y = 2
Then by substitution: x = 4 and y = 5
In inverse proportion x equals 2 and y equals 36 but what will y be when x equals 4?
Inverse proportion implies xy = c where c is the constant of [inverse] proportionality.
x = 2 and y = 36 implies xy = 72 = c
So the relationship is xy = 72
Then, if x = 4, y = 72/x = 72/4 = 18
How do you Simplify e to the 3lnx power?
"e^3lnx = (e^3) * (e^lnx) = (e^3) * x = xe^3"
If you actually plugged in a constant for your variable you will see why this is wrong.
Your thinking of e ^ (3 + ln(x)) ...
The correct answer is e^(3ln(x)) = e^(ln(x^3)) = x^3
How do you solve y equals 6x-5 y equals -x plus 9?
If (6x-5) and (-x+9) are both equal to 'y', then they must be
equal to each other, and you can say that
6x - 5 = -x + 9
Now add 'x' to each side:
7x - 5 = 9
Add 5 to each side:
7x = 14
Divide each side by 7:
x = 2
y = 7
What is x to the third power and then to the second power?
That's the same as x3 times x3 which equals x6
How long does it take for a bell to ring 11 times?
How long it takes a bell to ring 11 times depends on how long each ring is and the time in between the rings. For example, if the length of the ring is 10 seconds and there are 2 seconds between the rings, it would take less time than if the rings were 15 seconds with 3 seconds between rings.
