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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
How are surds used in real life?
Ah, surds are like little puzzles in mathematics that help us solve real-world problems with precision and accuracy. You might not realize it, but they are used in various fields like engineering, architecture, physics, and even computer science. Embrace the beauty of surds, my friend, for they are the key to unlocking the mysteries of the world around us.
Oh, dude, math time! So, like, 56 times 6 equals 336. Boom, there you go. Math wizardry at its finest.
How do you find the radius of a cylinder when height and volume are given?
The volume of a cylinder is given by the equation V=2*pi*r*h
V=volume
r=radius
h=height
Since the height and volume are given in this case, rearranging the equation will show that r= V / (2*pi*h). With that equation you can find the radius of any cylinder with known volume and height.
Well, isn't that a happy little question! When you multiply 20 by 0, you get 0. It's like having 20 friends over for a painting party, but if no one shows up, you still have a peaceful time painting by yourself.
What is the shape and bond angles of molecule x-y-x?
Oh, dude, molecule x-y-x has a linear shape with bond angles of 180 degrees. It's like a straight line, you know? So, if you're ever in a geometry competition and they ask about x-y-x, just remember it's as straight as a ruler.
Factor x cubed plus 5x squared plus 6x?
To factor the expression x^3 + 5x^2 + 6x, we first look for common factors among the terms, which is x. Factoring out x gives us x(x^2 + 5x + 6). Next, we factor the quadratic expression x^2 + 5x + 6 by finding two numbers that multiply to 6 and add up to 5, which are 2 and 3. Therefore, the factored form of x^3 + 5x^2 + 6x is x(x + 2)(x + 3).
C equals the speed of light in a vacuum, which is approximately 299,792,458 meters per second. So if you're looking for a simple answer, there you have it. Just remember, I'm not here to hold your hand through the world of physics, honey.
What is the highest number ever counted to?
The highest number ever counted to is theoretically infinite. In mathematics, there is no limit to how high a number can be counted. However, in practical terms, the highest number ever counted to by a human or a computer is limited by time and resources. The largest number typically used in mathematics and science is known as Graham's number, a number so large it cannot be expressed using standard notation.
What does x to the half power mean?
Ah, a half power is like giving x a gentle hug and telling it to take a deep breath. It means finding the square root of x, which is like finding the number that, when multiplied by itself, equals x. So, x to the half power is just a way of saying the square root of x, allowing us to simplify and understand things in a beautiful way.
To multiply 2x by 2y, you would use the distributive property of multiplication over addition. This means you would multiply each term in the first expression by each term in the second expression. In this case, 2x * 2y would result in 4xy, as 2 * 2 equals 4 and x * y equals xy.
5pr.
The specific answer depends on the values of the variables p & r.
Is x to the power of 2 the same as x squared?
Oh, absolutely! When we talk about x to the power of 2, we're simply saying x multiplied by itself, which is the same as x squared. It's like painting a beautiful little tree with just a few brushstrokes - different ways of saying the same thing, but all leading to a lovely result.
To calculate 5c x 100, you would first convert the percentage to a decimal by dividing by 100, which gives you 0.05. Then, you would multiply 0.05 by 100, resulting in 5. Therefore, 5c x 100 equals 5.
In the expression 3x + y, when x = 3 and y = 5, we substitute these values into the expression: 3(3) + 5. This simplifies to 9 + 5, which equals 14. Therefore, when x = 3 and y = 5, the value of 3x + y is 14.
How many solutions will a system of equations have if the graphs of the lines intersect?
If the lines are straight lines , then there is only one solution, which is the point of intersection of the two lines. It will have ( x,y) coordinates.
However, if the lines are curved in any way , there may be more than two or more points of intersection.
Well, isn't that a happy little math problem! To find the answer, you can multiply 88 by 100 and then subtract 88 from that result. So, 88 x 100 = 8800, and 8800 - 88 = 8712. There you go, a beautiful answer just waiting to be discovered!
How many 18 mm plywood sheets will do in a cubic meter?
To calculate the number of 18 mm plywood sheets in a cubic meter, we first need to determine the volume of one sheet. The volume of one sheet can be calculated by multiplying its dimensions (typically 4 feet by 8 feet) by the thickness (18 mm). Once we have the volume of one sheet, we can then divide the volume of a cubic meter (1000 x 1000 x 1000 cubic mm) by the volume of one sheet to find the number of sheets that will fit in a cubic meter.
Is the square root of negative 3 an irrational or a real number?
The square root of a negative number is considered an imaginary number, denoted as "i". In this case, the square root of -3 would be √(-3) = √3 * i. Therefore, the square root of -3 is not a real number, as real numbers are those that can be represented on the number line without involving "i".
To calculate 0.4 multiplied by 10, you simply move the decimal point of 0.4 one place to the right, resulting in 4. Therefore, 0.4 x 10 equals 4.
