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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
1.2 x 1.2 = 1.44. This can also be expressed as 1.22, or 1.2 squared.
If x equals 0 and y equals 1 what is the value of xy?
"xy" refers to the product of "x" and "y". Just substitute the variables for numbers, and do the multiplication.
What are the solutions to the simultaneous equations of 2x -3y equals 4 and 5x plus 2y equals 1?
Equations: 2x-3y = 4 and 5x+2y = 1
Multiply all terms in 1st equation by 5 and all terms in 2nd equation by 2:-
So: 10x-15y = 20 and 10x+4y = 2
Subtract the 2nd equation from the 1st equation: -19y = 18 => y = -18/19
By substitution the solutions are: x = 11/19 and y = -18/19
How do you solve for x in 16x equals 4?
Divide by 16, which gives you x=4/16
The 4/16 cancels down to 1/4.
Where on a graph is the inverse of f of x located?
To find the slope-intercept form of the given line (4x - 2y + 1 = 0), we need to solve for (y).
[4x - 2y + 1 = 0]
Subtract (4x) and add (1) to both sides:
[-2y = -4x - 1]
Divide both sides by (-2) to isolate (y):
[y = 2x + \frac{1}{2}]
Now, the equation is in the slope-intercept form (y = mx + b), where the slope (m) is (2) and the y-intercept (b) is (\frac{1}{2}). So, the slope is (2) and the y-intercept is (\frac{1}{2}).
6x - 5 + 2x = 11
6x + 2x - 5 = 11
8x - 5 = 11
Add 5 to each side:
8x = 16
Divide each side by 8:
x = 2
What is the mean of the first 100 digits of pi?
3.14159265358979323864062384626238832795028841971693939937510582097494459230781640628620898628034825342117067
These are the hundred digits of pi
When is acceleration constant?
constant acceleration is when you gain the same speed over the same time
What are some of the solutions to 3y-2x equals 14?
yes
plug it in
3y-2x=14
3(2)-2(-4)=14
6+8=14
14=14
What is the application of differentiation in real life?
It's mainly used in physics, engineering, statistics, economics, etc.
The main physics example is this:
Assuming that s is distance, v is velocity, and a is acceleration, the following is true:
s(t)=v'(t)=a''(t) (where t is time)
How do you predict the period of the pendulum if the length of string was 24cm?
The period of a pendulum (for very small swings) can be estimated as ...
T = 2 pi (L/G)0.5
... so, plugging in 0.024 m for L, and 9.81 m s-2 for G, we get L = 0.31 seconds.
What are some periodic functions?
Some examples of periodic functions include sine and cosine functions, square wave functions, and sawtooth wave functions. These functions repeat themselves over a given interval, called the period, and have the same values at regular intervals.
What is heavier a pound of feathures or a pound of books?
They are both equally heavy, as they both weigh one pound. The weight of an object is determined by its mass, and in this case, both the pounds of feathers and the pounds of books have the same mass of one pound.
Why is Vertical integration not easy to accomplish?
business strategies are influenced by human resource strategies as well as
having influence on them. Thus, the process of achieving vertical integration is a little like trying to
decide which comes first ,the theoretical approach suggests drawing up a
matrix where each of the elements of human resource management (structure, resourcing, human
resource development, performance management, reward and employee relations) are matched
against each business strategy in order to identify which of the human resource strategies are
associated which various elements of business strategy. In reality, business strategies might not be so
clearly defined or may be 'emerging',
