Calculus

It is a branch of maths that involves Calculating rates of change and irregular.curved volumes.

'The word 'Calculus' is Latin and means 'stones'. Where the ancients would have used stones/pebbles to make calculations.

Composite, because it can be divided by '2'.

NB All even numbers , except '2', are composite, therefore NOT prime.

All prime numbers are odd number, except '2'. However, not all odd numbers are prime numbers.

All EVEN numbers end in 0,2,4,6,8

All ODD numbers end in 1,3,5,7,9.

Since '76' ends in '6' , then it is an even number, hence composite.

64x^(2) - 5 = 11

Equate to zero , by subtracting '11' from both sides.

Hence

64x^(2) - 16 = 0

Algebraically rearrange

(8x)^(2) - 4^(2) = 0

We now have two squared terms with a negative between them. This factors to :-

(8x - 4)(8x + 4) = 0 Note the different signs in each brackets.

Hence

8x - 4 = 0

8x = 4

x - 4/8

x = 1/2

&

8x + 4 = 0

8x = -4

x = -4/8

x = -1/2

So the two solutions are x = 1/2 & x = -1/2

NB Twosquared terms with a POSITIVE(+) between them , does NOT factor.

Well, isn't that just a happy little question! When we have 8x for each value of x, it simply means we are multiplying 8 by whatever value x represents. So, if x is 2, then 8 times 2 equals 16. Just remember to let your imagination flow and enjoy the process of discovering the beauty in mathematics!

One highly recommended textbook for learning advanced calculus is "Advanced Calculus" by Gerald B. Folland.

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.

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.

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.

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.

0

Y is the output and X is the input.

one hundred seventy-five million

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.

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.

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.

what is it i did not come on this app to tell you to tell me

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.

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!