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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
Is the point of discontinuity considered as critical point?
y=x+3/[(x-4)(x+3)] Definition: a critical number of a function f is a number c in the domain of f such that f'( c) = 0 or f'(c) doesn't exist. Since we have a rational function, the domain is all real numbers except the numbers that make the denominator zero. Therefore, x cannot be -3 and 4. There is a hole on the graph of the function at x = -3, and x = 4 is a vertical asymptote. Simplify first, then take the derivative of y. y = (x + 3)/[(x - 4)(x + 3)] = 1/(x - 4) y' = [1/(x - 4)]' use the quotient rule y' = [(x - 4)(0) - 1(1)]/(x - 4)^2 = -1/(x - 4)^2. Since the numerator is a constant, then y' is never zero, so there is not a critical point.
Oh, dude, like, math time! So, 144 times 5 equals 720. It's like, you take 144, multiply it by 5, and boom, you get 720. Math, man, it's wild.
How do you solve 12x equals 24?
Well, isn't that just a happy little equation we have here! To solve for x, we can divide both sides by 12, which gives us x equals 2. And just like that, we've found the value of x that makes our equation balanced and complete. Keep up the good work, friend!
Level G mathematics Measuring up book answers?
Oh, dude, you're looking for the answers in the Level G Measuring Up math book? Well, technically, I can't just give you all the answers because that would be like cheating, right? But hey, I can tell you that the answers are probably somewhere in the book, like hidden in plain sight or something. Good luck on your math journey, my friend!
What is the gradient of y 3x 5?
The gradient of the function y = 3x + 5 is simply the coefficient of x, which is 3. In this context, the gradient represents the slope of the line that the function represents. This means that for every unit increase in x, y will increase by 3 units.
When you see "y times 2," it means you are multiplying the variable y by the number 2. So the expression "y times 2" can be written as 2y. This is a simple algebraic expression where the coefficient of y is 2.
What is 3 divided into y How do you write it?
The mathematical expression "3 divided by y" can be written as 3/y or 3 ÷ y. This represents the operation of dividing the number 3 by the variable y. In algebraic terms, this expression signifies the quotient obtained when 3 is divided by the value of y.
You haven't provided any choices for the "which of the following" part of your question. Such questions are best avoided here. However, assuming a, b and c are all natural numbers, all of the following are true for a<b AND b+c=10:
a=1, b=2, c=8
a=1, b=3, c=7
a=1, b=4, c=6
a=1, b=5, c=5
a=1, b=6, c=4
a=1, b=7, c=3
a=1, b=8, c=2
a=1, b=9, c=1
a=2, b=3, c=7
a=2, b=4, c=6
a=2, b=5, c=5
a=2, b=6, c=4
a=2, b=7, c=3
a=2, b=8, c=2
a=2, b=9, c=1
a=3, b=4, c=6
a=3, b=5, c=5
a=3, b=6, c=4
a=3, b=7, c=3
a=3, b=8, c=2
a=3, b=9, c=1
a=4, b=5, c=5
a=4, b=6, c=4
a=4, b=7, c=3
a=4, b=8, c=2
a=4, b=9, c=1
a=5, b=6, c=4
a=5, b=7, c=3
a=5, b=8, c=2
a=5, b=9, c=1
a=6, b=7, c=3
a=6, b=8, c=2
a=6, b=9, c=1
a=7, b=8, c=2
a=7, b=9, c=1
a=8, b=9, c=1
The user's manual is always a great place to look. My boyfriend's STi has those exact instructions in the manual, however my 350z won't be delivered for another 2 days so I couldn't tell you whether or not it's in there. A great alternative to a users manual is the almighty google. ;-)
I do not know where to find, please help me.
how to switch?
pardon my English evil.Thank you
Is the square root of 9 rational or irrational?
Well, isn't that a happy little question! The square root of 9 is actually a rational number because it can be expressed as a simple fraction, which is 3. Rational numbers can be written as a ratio of two integers, bringing a sense of harmony and balance to our mathematical world.
The expression xy + z represents the sum of the product of x and y with the value of z. This is a simple algebraic expression where x and y are variables representing numbers, and z is a constant value. To find the result of xy + z, you would first multiply x and y, and then add the value of z to the product.
To solve the expression 8x^2 * 2x, you first multiply the coefficients (8 * 2 = 16). Then, you multiply the variables with the same base by adding their exponents (x^2 * x = x^(2+1) = x^3). Therefore, the simplified expression is 16x^3.
Well, isn't that just a happy little math problem we have here? To find the sum of x plus 5, you simply need to combine x with 5. Imagine x as a friendly little number hiding behind a tree, and when you add 5, it comes out to greet you with a total that includes both x and 5. It's like two happy little numbers dancing together on your canvas, creating a beautiful harmony.
What is the additive inverse of x - y?
Oh, honey, the additive inverse of x - y is simply -x + y. It's like flipping a pancake - one side is positive, the other is negative. So, if you're looking to cancel out that x - y, just throw in a -x + y and call it a day.
What are the steps of derivative classification?
The steps of derivative classification are analyzing the materials, marking the classified status, figuring out what has already been classified, and using the current finding in later studies. The findings are derivative when classifying no matter if they are new, excerpts, or rephrased.
To find three quarters of 9, you first calculate one quarter of 9 by dividing 9 by 4, which equals 2.25. Then, you multiply this result by 3 to find three quarters of 9, resulting in 6.75. Therefore, three quarters of 9 is equal to 6.75.
What is the value of y 8y - 5 equals 11?
Well, let's bring some peace and calmness to this math problem. To find the value of y, we first need to isolate it. We can start by adding 5 to both sides of the equation, then dividing by 8 to solve for y. Remember, there are no mistakes in math, just happy little accidents.
Which equation is equivalent to -3 x y 5?
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", "equals", "squared", "cubed" etc. Please use "brackets" (or parentheses) because it is impossible to work out whether x plus y squared is x + y2 of (x + y) 2.
What is 3x squared minus x squared?
3x^2 - x^2 = (3 - 1)(x^2) = 2x^2 It is a good idea early one in math to think of things like this.. just like we can add or subtract numbers, we can add or subtracts x^2 or x^3 or squareroots of x... So think of 3x^2 as three (x^2)s...that is to say x^2 is something, like apples or oranges and you are just taking 3 or them and taking away one of them, so you have 2 of them.
There are 480 tens in 4800. This is because each place value position represents a power of 10, with the tens place representing 10 to the power of 1. Therefore, when you divide 4800 by 10, you get 480, which is the number of tens in 4800.
