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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

What are the numerical values of x y and z in the equal terms of x plus 2y plus 3z that have a sum of 4.5 and a product of 3.375 showing clear transparency in your work and answer?

If: x+2y+3z = 4.5
Then: 1(4.5/3 )+2(4.5/6)+3(4.5/9) = 4.5 because 1.5+1.5+1.5 = 4.5
So: 1(4.5/3)*2(4.5/6)*3(4.5/9) = 3.375 because 1.5*1.5*1.5 = 3.375
Therefore as fractions: x = 3/2, y = 3/4 and z = 1/2
Check: 1(3/2)+2(3/4)+3(1/2) = 4.5
Check: 1(3/2)* 2(3/4)*3(1/2) = 3.375

X2 plus 2x plus 3 how do i solve this equation to find the values of x.. please this is important?

You have missed off one VERY important piece of information... The SOLUTION to the equation. Without that, we cannot give an accurate answer for the value of x.

For example - substitute the number 5 for x...

52+(2x5)+3=38 - BUT substitute 8 for x, and the answer is 85 !

The full question is on the discussion page and I'm trying to solve for x and y?

In the absence of any more data, I think we have to assume that the horizontal velocity (340 m/s) doesn't change. That is, nothing (air or window) slows down the bullet until it hits the wall. And we have to assume that gravity is the only force acting on the vertical velocity of the bullet.

Given those assumptions, the vertical drop of the bullet is (g * t^2) / 2 where t is the time in seconds, and g is the acceleration due to gravity, 9.8 m/sec^2.

The bullet hits the window at time t1 and the wall at time t2, and the drop between times t1 and t2 is 0.5m. Since the distance from the window to the wall is 6.9m, t2 = t1 + 6.9m / 340m/s = t1 + 0.0203 seconds.

So now we can solve (g * t1^2) / 2 + 0.5m = (g * t2^2) / 2 = y for t1 and that will give us values for x and y.

The rest is left as an exercise for the reader.

How do you find y intercept for -2x plus 2y equals 4?

-2X + 2Y = 4

2Y = 2X + 4

Y = X +2

by inspection, 2

but, you could also 0 out X in original equation

-2(0) + 2Y = 4

2Y = 4

Y = 2

How does a number approach zero if motion is continuous?

Motion is not infinitely continuous for the fact mass itself is balanced by gravity which creates friction in attempt to perfectly bring one another to a perfectly stable level where it reaches 0, but since they are not perfectly balancing one another it will approach 0 a few times going back and forth between negatives and positives as it slows down to reach an equilibrium. So in a sense motion is continuous in the fact that it never truly reaches a point of perfect uniform rest since it will actually have to go back and forth slowing down intensely each time but never coming to a complete stop.

What is 0 divided by 0 times 0?

0 because 0 times 0 = 0 divided by the other 0 = 0

What are 3 numbers that add up to 96?

31 + 32 + 33 = 96

I'm guessing you meant consecutive numbers.

What equation using the digits 1 through 9 equal 2012?

One solution is :

[9/3 x 8/2 x 7 x 6 X 4] + 1 - 5 = [3 X 4 X 7 X 6 X 4] - 4 = 2016 - 4 = 2012

What is -7 4 plus 7x?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals".

What is 20million x 1million?

20,000,000 * 1,000,000 = 20,000,000,000,000

(Twenty trillion)

What is the answer to the problem -14 plus x equals 23?

-14+x=23

Transposing -14 to right hand side. It becomes 14

x=23+14

x=37

Hence the required answer to the problem is 37.

How do you write 2x plus 2y equals 8 in function form?

Solve for y:

2x+2y=8

2y=-2x+8

y=-x+4

f(x)=-x+4

I think that's what you mean.