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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 solution of this system Y x - 2 and x 17 - 4y?
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.
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.
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.
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.
What is 1 over 8 plus 1 over 6 equals 1 over x?
Algebra:
1/8 + 1/6 = 1/x |find lowest common multiple
3/24 + 4/24 = 1/x |add numerator in fraction
7/24 = 1/x |reciprocal of the fractions
24/7 = x/1 | x/1 is the same as x
24/7 = x
How can you solve an equation or inequality in one variable?
The answer depends on the form of the equation and the domain.
For example,
- there is no solution for x + 2 = 0 if the domain is positive integers, but there is if x can be a negative integer.
- there is no solution for 2x = 1 for integer x but there is if x can be a rational number.
- there is no solution for x^2 = 2 for rational x but there is if x can be an irrational number.
- there is no real solution for x^2 = -2 for real x there is if x can be a complex number.
There are many other equations in one variable for which cannot be solved.
However, for simple equations, you may get a solution by making the same changes to both sides of the equation (with some exceptions, like division by zero, or taking square roots, etc) until you rename one side as the variable.
For example, to solve
(2x + 3)/5 = 9
Multiply both sides by 5: 2x + 3 = 45
Subtract 3 from both sides: 2x = 42
Divide both sides by 2: x = 21.
Solution of inequalities is the same except that if you multiply or divide by a negative number then the inequality changes direction.
What is the dhcpnack and when do you get one name 2 scenarios?
Recently I saw a lot of queries regarding when the Microsoft DHCP server issues a NAK to DHCP clients.
For simplification purposes, I am listing down the possible scenarios in which the server should NOT issue a NAK. This should give you a good understanding of DHCP NAK behavior.
When a DHCP server receives a DHCPRequest with a previously assigned address specified, it first checks to see if it came from the local segment by checking the GIADDR field. If it originated from the local segment, the DHCP server compares the requested address to the IP address and subnet mask belonging to the local interface that received the request.
DHCP server will issue a NAK to the client ONLY IF it is sure that the client, "on the local subnet", is asking for an address that doesn't exist on that subnet.
The server will send a NAK EXCEPT in the following scenarios:-
1. Requested address from possibly the same subnet but not in the address pool of the server:-
This can be the failover scenario in which 2 DHCP servers are serving the same subnet so that when one goes down, the other should not NAK to clients which got an IP from the first server.
2. Requested address on a different subnet:-
If the Address is from the same superscope to which the subnet belongs, DHCP server will ACK the REQUEST.
The DHCPNACK or Negative Acknowledgment is a packet that the server sends if the IP address is not available in stand of DHCPACK (in use on other client for example) or the address is no longer valid. In case of DHCPNACK the client must restart the lease process in order to get an IP address.
How do you graph y plus 4x equals 1?
y+4x=1
first make it equal to y so subtract 4x from each side and you get y=-4x+1
draw a coordinate plane
put a point on (0,1) since the y-intercept is 1 go down 4 and right 1 or go up 4 and left 1
connect
How do you factor 9x squared plus 24x plus 16?
Let the symbol ^ mean "to the power"
Then 9x^2 + 24x + 16 = (3x + 4)(3x +4) = (3x + 4)^2
What is the range of y equals 2x2 plus 4x-3?
y = 2x2 + 4x - 3
This equation describes a parabola. Because it's first term is positive, we know that it goes infinitely upward, and has a minimum that occurs at it's vertex. You can find it's vertex by taking it's derivative and solving for zero:
y' = 4x + 4
0 = 4x + 4
0 = x + 1
x = -1
y = (-1)2 + 4(-1) - 3
y = 1 - 4 - 3
y = -6
So the vertex is at (-1, -6), which means that y ≥ -6
What are the order pairs for 4x plus 2y equals 0 and x - 5y equals -11?
x = -1 and y = 2
The lines intersect at (-1, 2)
What is are examples of equations or inequalities?
An equation is a statement with symbols, that includes the equal sign. Examples:
y = 5
5z + 3 = 10
An inequality is similar, but instead of the equal sign, it has a less-than, greater-than, less-than-or-equal, or greater-than-or-equal sign. Examples:
5x + 3 > 10
x < 15
-3+y=17+1 im assuming solve for y?
-3+y=18 add 3 to both sides
y=21
What is an equation that has 2 real and 2 imaginary zeros?
A simple example is:
x4-1=0
This factors into:
(x-1)(x+1)(x-i)(x+i)=0, so
x=1 OR x=-1 OR x=i OR x=-i
Factor the trinomial 9x2 - 18xy plus 5y2 and Factor the trinomial 4x2 plus 24x plus 11?
(3x - y)(3x - 5y) and (2x + 1)(2x + 11)
How are constant speed and constant acceleration different?
There is a huge difference between constant speed and constant acceleration. Constant speed is when the object is travelling constant, no change in its velocity and acceleration or in other words no extra force to speed up.
Constant acceleration when the object is acceleration constant, it means that the speed of the object is change at the same rate each second. The acceleration rate at which the object is travelling is constant.
for example, when a car is stationary at a traffic light and it starts acceleration, picking up speed but the rate of acceleration will not constant because the amount of force applied differs each second due to the acceleration rate.
