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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

Can you solve the equation 6 equals -10-p over 5?

If the equation is 6 = -10 - p/5 then multiply all terms by 5 :-

30 = -50 - p : p = -50 - 30 = -80

5y plus 1 equals 4y - 1?

5y + 1 = 4y - 1 Subtract 4y from both sides of the equation. y + 1 = -1. Add 1 to both sides of the equation. y + 2 = 0 Subtract 2 from both sides of the equation. y = -2

Can velocity of an object change when its acceleration is constant?

Certainly! By definition, the acceleration is the change, so it will change unless that amount is zero.

How to Solve this problem x-2 divide x3-2x2 plus x-3?

That depends on what the problem is. The expresion alone is not a problem. It's just an expression.

Presumably, what you want to do here is to simplify it. We're given:

(x - 2) / (x3 - 2x2 + x - 3)

Let's start by tring to divide the numerator into the denominator using long division:

x2 + 1 (x - 2) x3 - 2x2 + x - 3 x3 - 2x2 0 + x - 3 x - 2 -1 R Since we get a non-zero remainder, we can see that x - 2 is not a factor of the denominator. And in fact, looking further into it, we will find that the denominator can not be factored, and so this problem can not be simplified.

Why do you subtract 6 from both sides?

In any equation, regardless of the number adding or subtracting, multiplying or dividing, you must do the same to both sides. This ensures you are not changing the equation. If only one side was done, then the original equation has been altered and is no longer the same as it began. Changing both sides with the same values keeps all things equal.

What is carl gauss number theory?

He is pretty much responsible for the theory of congruences.

Provided the conditions that a and b are integers and n is a positive integer, a and b, are said to be "congruent modulo n" if (a-b)/n is an integer.

Written as

How long will it take to drive 70 miles at 75 miles per hour?

60 minutes = 1 hour

70 miles divided by 75 miles = 0.93 of an hour

0.93 x 60 = 56 minutes

How do you differentiate x over 2?

f(x) = x/2

Then the differential is lim h->0 [f(x+h) - f(x)]/h

= lim h->0 [(x+h)/2 - x/2]/h

= lim h->0 [h/2]/h

= lim h->0 [1/2] = 1/2

f(x) = x/2

Then the differential is lim h->0 [f(x+h) - f(x)]/h

= lim h->0 [(x+h)/2 - x/2]/h

= lim h->0 [h/2]/h

= lim h->0 [1/2] = 1/2

f(x) = x/2

Then the differential is lim h->0 [f(x+h) - f(x)]/h

= lim h->0 [(x+h)/2 - x/2]/h

= lim h->0 [h/2]/h

= lim h->0 [1/2] = 1/2

f(x) = x/2

Then the differential is lim h->0 [f(x+h) - f(x)]/h

= lim h->0 [(x+h)/2 - x/2]/h

= lim h->0 [h/2]/h

= lim h->0 [1/2] = 1/2

What is the answer to 18x plus 3 equals 12x?

The 'answer' is the number that 'x' has to be in order to make the statement true.

18x + 3 = 12x

Subtract 3 from each side of the equation:

18x = 12x - 3

Subtract 12x from each side:

6x = -3

Divide each side by 6 :

x = - 1/2

How do you solve 3x 4 6x 10?

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".

All I can see is four algebraic terms separated by spaces, not an equation.

Why euler method for solving first and second order differential equation is not preferred when compared with rungeekutta method?

"http://wiki.answers.com/Q/Why_euler_method_for_solving_first_and_second_order_differential_equation_is_not_preferred_when_compared_with_rungeekutta_method"

What is 3x3 since x 5?

If you mean "what is 3x cubed when x = 5?", the answer is 375.

Stating questions accurately helps responders give a proper answer.

How do you solve 2x plus 2y equals 4 and 4x plus y equals 1?

2x + 2y = 4

4x + y = 1

There are many methods you can use to solve this system of equations (graphing, elimination, substitution, matrices)...but no matter what method you use, you should get x = -1/3 and y = 7/3.

How do you solve 5y plus x equals -3 plus 4y?

One linear equation in two variables (x and y) cannot be solved.

What is x if 3x-4 equals 66?

3X - 4 = 66

add 4 to each side

3X - 4 + 4 = 66 + 4

3X = 70

divide each sides integers by 3

(3/3)X = 70/3

X = 70/3

------------------check in original equation

3(70/3) - 4 = 66

210/3 - 4 = 66

70 - 4 = 66

66 = 66

---------------checks ( naturally, you could have canceled here, 3(70/3) and just got 70 )

Solve this equation for A A divides 2 equals 4?

Written algebraically, the equation is (2/A)=4.

The first step is to move the variable A from the denominator. To do this, multiply both sides of the equation by A:

A*(2/A)=4*A

The A in the denominator on the left is canceled out and we are left with:

2=4*A

To solve for A divide both sides of the equation by 4:

2/4=A

Two over four simplifies to one half, which equals A:

1/2=A

What is the answer to 45 multiplied by X equals 126 what is X?

the answer is 2.6 because:

45 x X = 126

so you bring the 45 to the other side of equals, then it becomes a divide.

X=126 divided by 45

soo..

X=2.8