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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
What is the derivative of 2square root of x?
First, the problem can be rewritten: 2(x^.5) From that step, take the derivative: 2(.5x^-.5) Finally simplify by distribution: x^-.5
What is the answer to 3x plus y equals 9?
Solve for x:
3x + y = 9 is the same as -3x + 9 = y
Since you now know the equation for y you can plug it into the first equation:
3x + (-3x + 9) = 9
After solving, you will see that x cancels out and that 9 = 9.
Solve for y:
3x + y = 9 is the same as 3 - y/3 = x
Since you now know the equation for x you can plug it into the first equation:
3(3 - y/3) + y = 9
After solving, you will also see that y cancels out and that 9 = 9.
The Answer:
There are actually two posibble answers:
1.) y = 9 and x = 0
If you plug the numbers in then you will get 3(0) + (9) = 9
The answer is 9 = 9
2.) y = 0 and x = 3
If you plug the numbers in then you will get 3(3) + (0) = 9
This will also give you the answer 9 = 9
N2 minus 11n minus 26 need to writte the expression in factored form?
n2 - 11n - 26
what two factors of - 26 add up to - 11?
(n + 2)(n - 13)
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How do you simplify tan2 x-1 over 1-sec2 x?
tan2 x + 1 = sec2 x
⇒ 1 - sec2 x = -tan2 x
⇒ (tan2 x - 1) / (1 - sec2 x) = (tan2 x - 1) / -tan2 x
= (tan2 x) / (-tan2 x) - 1 / (-tan2 x)
= -1 + cot2 x
= cot2 x - 1
If you cannot remember tan2 x + 1 = sec2 x, remember and start from:
sin2 x + cos2 x = 1
(which is used often) and divide each side by cos2 x:
(sin2 x + cos2 x) / cos2 x = 1 / cos2 x
⇒ sin2 x / cos2 x + cos2 x / cos2 x = 1 / cos2 x
But sin x / cos x = tan x; and 1/cos x = sec x
⇒ tan2 x + 1 = sec2 x
Also, cot x = 1/tan x
Yes.
One of the subsets is the set itself. The other is the null set.
What is the answer to 2x 10 3x2 plus 10x plus 2x3 plus 3x2?
Unfortunately, limitations of the browser used by WA 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.
What is Y if 14 minus 3y equal 2?
14 - 3y = 2
subtract 14 from both sides
-3y = -12
divide both sides by -3
y = 4
What is 3x cubed squared and the 3x cubed is in parenthesis?
To simplify (3x3)2, the exponent is distributed to both the constant and the variable and multiplied with any other exponents. So (3x3)2 = 32 * x3*2 = 9x6.
What is the derivative of x equals cot2 divided by t?
Assuming you want dx/dt and that the equation is
x = cot(2) / t
(i.e. cot(2) is a constant)
we can use the power rule. First, we rewrite it:
cot(2)/t = cot(2) * t-1
thus, by the power rule:
dx/dt = (-1) cot(2) * t-1 -1 = - cot(2) * t-2= = -cot(2)/t2
x2 + 6x - 110 = 0
∴ x2 + 6x = 110
∴ x2 + 6x + 36 = 146
∴ (x + 6)2 = 146
∴ x + 6 = ±1461/2
∴ x = -6 ±1461/2
∴ x ≈ 6.083, 18.083
x + 5 = 2x - 35
Subtract 2x from both sides of the equation
x - 2x + 5 = -35
Subtract 5 from both sides of the equation
x - 2x = -35 - 5
Simplify
-x = -40
Multiply both sides of the equation by -1
-x (-1) = -40 (-1)
x = 40
if the problem you are asking is :
∫1-e3tdt then this is how it is done: u-substitution
set u=3t then du/dt=3 and du=3dt and 1/3du=dt then, you end up with:
1/3∫1-eudu after you substittute back in, and then you integrate, so you get 1/3(t-e3t/3)+C and your final answer is {1/3(t)-1/9(e3t)}+C
Can you solve X2 plus Y equals 63?
No you can't. There is no unique solution for 'x' and 'y'. The equation describes a parabola,
and every point on the parabola satisfies the equation.
What is the value of x in 6 plus 2x equals x - 6?
6 + 2x = x - 6
Subtract x from both sides: 6 + x = -6
Subtract 6 from both sides: x = -12
What is the value of x2-3x-1 when x is -2 and y is 4?
It is 9, and the value of y is totally irrelevant.
The little ' m ' stands for 'mega' which is the same as 'million'.
So 3.1 mbps = 3,100,000 bps.
What is the slope of the problem y equals 12 x?
[ y = 12x ] is an equation, not a 'problem'.
The graph of that equation is a straight line with a slope of 12 .
