Calculus

The statement "y varies inversely as the square of x" means that in function form y(x) = k/x2, where k is an (initially) unknown constant. The second condition can be written in algebraic form as 4 = k/32 ; or k = 4 X 9 = 36; Then y(2) = 36/22 = 9.

x4/12 since derivative of x4/12 is 4x3/12 or x3/3

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.

The expression "8x for each value of x" means that you are multiplying the value of x by 8. This indicates that for every possible value of x, you will multiply that value by 8. For example, if x is 2, then 8 multiplied by 2 equals 16. This expression represents a linear relationship where the output is 8 times the input value of x.

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

They are not something most of us would use in ordinary daily activities like shopping and bank statements, but like all mathematical topics they will crop up somewhere at some time in the normal, real-life work of mathematicians, scientists and engineers.

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).

In math, a number signified by "C" is a constant number. A constant is the opposite of a variable. While a variable changes, a constant will always stay the same.

For example, in the equation y = 4x + 10, 10 is a constant. If you did not know the value of 10 (for example, if you had just integrated), it could be written as y = 4x + c.

0

Y is the output and X is the input.

One hundred and seventy-five million.

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.

suppose u have a(x) and b(y)where a and b are constants , Multiplying a(x) by b(y) it's simply ab(xy) So if u have 2x by 2y this equals to 4xy

or

The answer is 4xy.

2x = 2 times x

2y = 2 times y

2 times x times 2 times y = 2 times 2 times x times y = 4xy

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

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