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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 ten irrational numbers?
The square roots of 2, 3, 5, 6, 7. In all cases there are two roots (+ and -).
If the push-rod moves from x1 equals 0 m to x2 equals 14 m how much work did the servomotor do?
The Answers community requires more information for this question. Please edit your question to include more context. The answer depends on the resistance offered by the push-rod.
Write 8x2 plus 6x - 35 as a polynomial in descending order?
Type your answer here... (2x + 5)(4x - 7)
10 miles per hour
100 feet per second
$25 per hour
etc...
How do you solve the equation of 5x-3 equals 12?
We're about to give you the complete solution. It may get complicated,
and we hope you can stay with us as we slog through it.
Before we begin to attempt a solution,
we first write down the equation:
5x - 3 = 12
Add 3 to each side:
5x = 15
Divide each side by 5:
x = 3
Were you able to follow all of that ?
Where would 4x plus 2y equals 4 be on a x- and y-intercept?
This line hits the x axis (y=0) when 4x + 0 = 4 (so x=1) and the y axis (x=0) at 0 + 2y = 4 (so y=2).
What digit 0-9 is not found in the first 31 digits of pi?
These are the first 31 digits of pi:
3.1415926535897932384626433832795
The number not found is zero.
Is 1 an inequality to 2x plus 3 7?
Not necessarily.
1=2x+37
-36=2x
-18=x
It is not an inequality when x=-18
How do you elimination -3x-y equals 1 5x plus y equals -5?
Add the two equations together, notice that the y and -y cancel. You can solve for x. Take your value of x and put it into either equation. Solve for y. Done.
Also, don't mark this question as calculus. This is algebra.
What is the five x plus y equal one?
To figure that out, you'll need at least one of the pronumeral's values.
The other thing you could be asking for is a graph. If you go to http://www.calc5.com/ and type in "graph(5x+y=1)", you can see a graph of that equation on a number plane.
What is highest common multiple of 15 and 18?
The highest common multiple of any set of numbers is infinite.
Fifteen x squared - seventeen x plus 4 equals 0?
15x2 - 17x + 4 = 15x2 - 5x - 12x + 4
= 5x(3x - 1) - 4(3x - 1).
= (5x - 4)(3x - 1).
Thus the solution,
when 15x2 - 17x + 4 = (5x - 4)(3x - 1) = 0,
is: x = 4/5 or 1/3.
* * * * *
The technique, in case it is not familiar, is quite simple:
Step 1: Note that the three co-efficients of the given quadratic are 15, -17, and 4.
Step 2: We seek two numbers whose sum and product are -17 and 60.
(Note that 60 is, itself the product of 15 and 4.)
The two numbers we seek are -5 and -12.
Step 3: Replace the middle term, '-17x' with two terms, '-5x' and '-12x'.
Step 4: Continue factorisation easily, as shown. Then, combine like terms.
Step 5: To find solution, apply the following principle: The product of two factors is equal to zero if, and only if, one or other of the two factors is equal to zero.
