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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 derivatives of legatus?
Oh, dude, derivatives of legatus would include legati (plural), legato (singular), and legation (the act of being a legate). It's like the legatus family tree, but with fancy Latin names. So, next time you're at a toga party, you can impress everyone with your knowledge of legatus derivatives.
What is the value of x if 3x equals 3?
Well, darling, if 3x equals 3, then x must be 1. It's as simple as that. Math doesn't have to be complicated, honey.
In a standard acre of land, there are 43,560 square feet. If each town lot is typically around 5,000 square feet, you could potentially fit around 8-9 town lots in 1 acre, depending on the layout and any additional space needed for roads or infrastructure. It's important to consider local zoning regulations and lot size requirements when determining the exact number of town lots that can be accommodated in a specific acre of land.
To factor the quadratic expression x^2 - 9x - 8, we need to find two numbers that multiply to -8 (the constant term) and add up to -9 (the coefficient of the x-term). The two numbers are -1 and 8. Therefore, we rewrite the middle term -9x as -x - 8x. Now, we can factor the expression as (x - 8)(x + 1).
The derivative of 2Y is simply 2. In calculus, when you take the derivative of a constant times a variable (in this case, 2 times Y), the constant remains unchanged. Therefore, the derivative of 2Y with respect to Y is 2.
To find the x-coordinate of the solution to the system of linear equations, you can use the method of substitution or elimination. By substituting the value of y from the first equation into the second equation, you can solve for x. In this case, after substitution and simplification, you will find that the x-coordinate of the solution is 2.
Yes, 1.8 is bigger than 1.25. When comparing two numbers, you can look at the digits to the left of the decimal point first. In this case, 1.8 has a higher whole number value than 1.25. Additionally, you can compare the tenths place; 1.8 has 8 tenths while 1.25 only has 2 tenths, further confirming that 1.8 is indeed larger than 1.25.
How do you write x divided among 5?
To write x divided among 5, you would use the division symbol (/) to represent the operation of division. The expression would be written as x/5, indicating that x is being split into 5 equal parts. This notation is commonly used in mathematics to show the division of a quantity into a specific number of parts.
This question can only be answered with additional information, such as the value of x.
Given x = 3, 2x * 4 = 2(3) * 4 = 6 * 4 = 24
Given x = 5, 2x * 4 = 2(5) * 4 = 10 * 4 = 40
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Contrary to the answer above; 2x * 4 = 8x
What is 2x squared minus x squared?
The expression 2x squared minus x squared simplifies to x squared. This is because when subtracting like terms, you subtract the coefficients while keeping the variable and its exponent the same. In this case, 2x squared minus x squared leaves you with just x squared.
Since there are no common factors, just multiply everything: 3x times 2y = 6xy
7x 52 equals 364 how come there are 365 days in a year?
Well, honey, buckle up because I'm about to drop some knowledge on you. You see, a year is actually about 365.25 days long, so we add an extra day every four years in a little thing we like to call a leap year. So, technically speaking, 7 times 52 does equal 364, but Mother Nature decided to throw in an extra day just to keep us on our toes.
No, the equation y = 102x is not exponential. An exponential function is of the form y = a * b^x, where a and b are constants. In this case, the equation y = 102x is a linear function, as it represents a straight line with a slope of 102 and no exponential growth or decay.
Oh, dude, you're trying to pull a fast one on me, huh? 2 times what divided by 3 equals 6? That would be 12, my friend. So, technically, 2 times 12 divided by 3 does equal 6. Math can be sneaky like that, right?
Is the point of discontinuity considered as critical point?
Well, honey, a point of discontinuity is not the same as a critical point in calculus. A critical point is where the derivative is either zero or undefined, while a point of discontinuity is where a function is not continuous. So, in short, they may both be important in their own ways, but they're not the same thing.
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.
Well, isn't that just a happy little math problem! If A is less than B and B plus C equals 10, then it must be true that A plus C is less than 10. Just remember, in the world of numbers, everything adds up beautifully in the end.
Oh, dude, to change the units on your Nissan 350Z's computer, you'll need to access the settings menu, like, go to the display options, and switch from miles to kilometers and Fahrenheit to Celsius. It's, like, super easy, just a couple of clicks and you're good to go. Enjoy your newfound metric system enlightenment!
Is the square root of 9 rational or irrational?
The square root of 9 is a rational number. This is because the square root of 9 is equal to 3, which can be expressed as a fraction, 3/1. In general, a rational number is any number that can be expressed as a ratio of two integers, which is the case for the square root of 9.
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.
