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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
Why is zero times a number always zero?
Because if you try to multiply nothing, you will always end up with nothing. so no matter what number you multiply 0 to, since 0 has no numerical value, the answer will always be 0.
What is the Second derivative of lnx2?
d/dx(lnx2)
= 2/x
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d/dx2(2/x)
use product rule
2'*x - 2 *x'/x2
= - 2/x2
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What is the answer to 5x 11 equals 4x 18?
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.
It is called an equation. That is, it is a statement that says that if you start with a certain number (which we agree to call 'y') and add 3 to it, the result will equal 10.
Can you guess what that number is?
That's right - the number is seven! If you start with any other number, besides seven, and add three to it, you won't get ten; you will get something else, instead. So, the number you start with has got to be seven.
That is what we call the solution, the result we get when we solve the equation. This means that, when we let y = 7, the statement that y + 3 = 10 turns out to be a true statement.
What is public key integration?
Public key integration refers to the process of incorporating public key cryptography into systems or applications to enhance security. This involves generating a pair of keys—a public key, which can be shared openly, and a private key, which is kept secret. Public key integration is commonly used for secure communications, digital signatures, and authentication, allowing users to verify identities and encrypt data without needing to share secret keys directly. This approach enhances data security and facilitates secure transactions over untrusted networks.
Why is x equals 4 a verticle line on a graph?
The slope of a 2D graph is determined by the 'x' and 'y' values of the line, so the 'y' value here equals zero. In the equation y = mx + c, where 'm' is the gradient and 'c' is a constant (assumed here to be 0), 4m = 0, and so the gradient has to equal 0.
Note: Every line has an equation that can be expressed in the form ax + by + c = 0. But not all the lines can be expressed in the (slope-intercept) form y = mx + b. For example, x = 4 can be written as 1x + 0y - 4 = 0, but cannot be written in the slope-intercept form because its slope is undefined. When the slope of the line is 0, then the line is a horizontal line. When the slope is undefined, then the line is a vertical line. So all the points on the graph of x = 4 have a value of x that is always 4. So that for any y-coordinate, the corresponding x-coordinate for every point on the line is 4. For example, three of the points on the graph of x = 4 are (4, -3), (4, 0), and (4, 3). If you draw a line that passes through these three points, you will see that the line is a vertical line.
How do you graph the rational function y equals 3 over x?
This graph looks very similar to the famous equation of y equal 1 over x; in either case you get a curve which asymtotically approaches infinity at the y axis where x=0, and which asymptotically approaches zero as x approaches infinity. The difference is that if it is 3 over x, all the values will be three times higher than if it is 1 over x. But the shape of the curve is the same.
How do you find the derivative of 9 to the 5x?
95x?
d/dx(au)=au*ln(a)*d/dx(u)
d/dx(95x)=95x*ln(9)*d/dx(5x)
-The derivative of 5x is:
d/dx(cu)=c*du/dx where c is a constant
d/dx(5x)=5*d/dx(x)
d/dx(95x)=95x*ln(9)*(5*d/dx(x))
-The derivative of x is:
d/dx(x)=1x1-1
d/dx(x)=1*x0
d/dx(x)=1*(1)
d/dx(x)=1
d/dx(95x)=95x*ln(9)*(5*1)
d/dx(95x)=95x*ln(9)*(5)
-95x can simplify to (95)x, which equals 59049x.
-ln(9) can simplify to ln(32), so you can take out the exponent to have 2ln(3).
d/dx(95x)=59049x*2ln(3)*(5)
d/dx(95x)=10*59049x*ln(3)
If y equals 4x-6 find y if x equals 1?
y=4x-6 and x=1
Just replace the x in the first equation with 1 and solve.
y=4(1)-6
y= (-2)
How would the graph of y equals 4x plus 3 change if the y-intercept is changed to -2?
Find the two X intercepts. Set = to 0
4X + 3 = 0
X = -3/4 ( while Y = 3)
4X - 2 = 0
X = 1/2 ( while Y = -2)
Now you have two points for each parallel line and can draw the graph
What does Delta x divided by delta t stand for?
v=▲x/▲t
Formula of calculating velocity, x stands for the length the object has traveled, and t stands for how long it has been traveling.
Extraneous solution
