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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
This equals 3x+3 also written as 3(x+1). If you mean a linear equation like 3x + 3 = 0, then the solution is x = -1
What do you mean by derivative?
A derivative can be defined as something which derives its value from an underlying product being a stock, currency, commodity or anything that carries a market price.
The market price of a product is subject to fluctuations due to various factors effecting its demand & supply thereby associating itself to various risk factors.
SO, derivative is a by-product of the core product which can be used to hedge, speculate & also undertake arbitrage activities.
X squared minus x squared equals what?
Im assuming you are trying to come up with a y intercept equation for a graph. If that assumption is correct
x = y^2 - 2
y^2 = x + 2
y = SQRT ( x + 2 )
What is the simplest form of 765 over 2023?
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What number must be added to x2 plus 5x to complete the square?
x2 + 5x + 6¼ = (x + 2½)2 and, hence, is a perfect square.
As the co-efficient of x2 (the first term) is 1, you can safely follow this rule:
Add the square of half the co-efficient in the second term, in order to complete the square.
In this case, you take half of 5 (which is 2½) and, then, square it. This gives you your 6¼.
What is a mathematical sentence?
A mathematical sentence usually refers to an equation.
x + y = 3 can be "translated" into this mathematical sentence: The sum of x and y is 3.
Can a logarithmic function have a base of zero?
No. No number can be generated by raising zero to a power.
Zero raised to any power is still zero.
What is Log3 3 plus log3 x plus 2 equals 3?
log33+log3x +2=3
log33+log3x=1
log3(3x)=1
3x=3
x=1
Other interpretation:
log33+log3(x+2)=3
log3(3(x+2))=3
3(x+2)=27
x+2=9
x=7
Problem: x+5x+4
Answer:6x+4
Explanation: You have 5 x's...you add the other x to the 5 x's and that makes 6 x's...then the +4 stays the same because you have nothing to combine it with. So therefore, your answer would be 6x+4.
Algebraic expressions are useful for translating problems into the language of mathematics. An algebraic expression for the problem "6 times the sum of 4 and y" would be: 6(4+y) = 24 + 6y.
That is fairly accurate. I like to use 1.5 times the width of the nut.
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.What is the answer to Log x plus 4 minus log6 equals 1?
log(x) + 4 - log(6) = 1
so
log(x) + 4 + log(1/6) = 1
Take exponents to the base 10 and remember that 10log(x) = x:
x * 104 * 1/6 = 10
x = 6/1000 or 0.006
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 + 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
