Calculus

If you mean y = Sin(pi(x))

Then

Use the chain rule

dy/dx = dy/du X du/dx

Let

pi(x) = u

y = Sin (u)

dy/du = Cos(u)

u = pi(x)

du/dx = pi

Combining

dy/dx = pi Cos(u) = piCos (pi(x)). The answer!!!!!

Oh, isn't pi just a delightful number? Let's paint a picture with its first 35 digits: 3.1415926535897932384626433832795028. Just like adding happy little trees to a landscape, each digit of pi adds to the beauty and mystery of mathematics. Keep exploring and discovering, my friend.

974 x 7 = 6818

honestly,

a reaaallly happy smile :)

y=x^2

-has a turning point at (0,0)

-the range is R+ or [0, infinity)

-the domain is R or (-infinity, infinity)

Very simple: it is 1.6989700043 to be exact. You can test this because log50 means we assume the natural log (base 10), if you test 10 to the exponent of 1.6989700043 you should render 50 as your result :D

To convert a decimal into a fraction, write the decimal number over one like this: .52/1. Next, remove the decimal point and add as many zeroes to the bottom number as there were numbers after the decimal: .52/1 would now be 52/100. The last step is to simplify the fraction: 53/100 = 26/50 = 13/25. The fraction equivalent of .52 is 13/25.

y = Sin(x)

dy/dx = Cos(x)

10^3(8.75) would equal 10^26.25 which would equal: {| |- | 1.77828E+26 |}

I suggest that you:* Solve the equation for variable "y".

* Make a table of values, by calculating the value of "y" for different values of "x".

* Plot the points

* Join them by lines

To calculate 10 percent of 6000, you first convert 10 percent to a decimal by dividing it by 100, which equals 0.10. Then, you multiply 0.10 by 6000 to find the answer. Therefore, 10 percent of 6000 is 600.

A minus plus a minus will give a sum with a minus also.

As with anything, some people find math harder to learn that others. It may be that math is not one of your strongest areas, and some of the concepts are harder for you to grasp.

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Math isn't hard. Some people just aren't interested and won't work at it. Math is like sports. To be good you have to practice.

I presume that you mean 5x + 3y + 20 = 0 and 2x - y - 14 = 0.

First put the formulae in the form y = mx + c.

3y = -5x -20

y = -5/3 x -20/3

and

y = -2x + 14

Substitute the second formula into the first

-2x - 14 = -5/3 x -20/3

-6x - 42 = -5x - 20

-42 = x - 20

x = -22

Substitute into equation

y = -2x + 14

y = -2 x -22 + 14

y = 44 + 14

y = 58

Therefore the two lines meet at point (-22, 58).

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.