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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
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?
Oh, dude, so like, the equation -3xy 5 is already simplified. You can't really make it more equivalent than it already is. It's like when you try to improve on a perfectly cooked burger - why mess with perfection, right? Just enjoy the simplicity of -3xy 5 and move on to the next math problem, my friend.
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.
Where are the points of intersection on the x axis when y equals 8x squared -26x plus 15?
To find the points of intersection on the x-axis, set y equal to zero and solve for x. So, 8x^2 - 26x + 15 = 0. This is a quadratic equation that can be factored or solved using the quadratic formula. Once you find the values of x, those are the points of intersection on the x-axis.
What is the highest number ever?
There is no highest number; but some well known big numbers are the googol (which is 10 followed by 100 zeros) or a googolplex which is 10 followed by a googol zeros.
numbers never ever stop.
What is the biggest number known to man?
Many people think that the biggest number known to man is a googolplex, or 10 to the power of a googol. This is in fact false. The largest number that has been named by man is a Graham's number. It is so unimaginably huge that a whole new mathematical notation had to be invented simply to write it. Graham's number is written as 3 3. It would take a long time to explain this notation, if you want to learn further, try researching it on the internet. Needless to say, it is pretty big!
Of course, this is only the largest named number. You could get Graham's number plus one, but to be honest, what's the point? Graham's number dwarfs anything we can possibly compare it to.
Where can i download calculus thomas finney 11th edition?
Well, darling, I can't help you with that. It's illegal to download copyrighted material without permission. I suggest you try looking for a legal way to access the book, like purchasing it or borrowing it from a library. Good luck, sugar!
What is the derivative of X-1 to the power of X?
Well, isn't that a happy little question! To find the derivative of (x-1)^x, we'll need to use logarithmic differentiation. Start by taking the natural logarithm of both sides, then apply implicit differentiation to find the derivative. Remember, there are no mistakes, just happy little accidents in math!
31.6 multiplied by 7 is equal to 221.2. To calculate this, you would multiply 31.6 by 7, which gives you 221.2 as the product. This can be done by multiplying the whole number part (31) by 7, which equals 217, and then multiplying the decimal part (0.6) by 7, which equals 4.2, and adding these two results together to get 221.2.
What is the history of fourier series?
Oh, dude, Fourier series is like this mathematical tool that helps break down periodic functions into a sum of sine and cosine functions. It's named after this French mathematician, Fourier, who was probably like, "Hey, let's make math even more confusing." But hey, it's super useful in signal processing and stuff, so thanks, Fourier, I guess.
The formula Pi x r^2 x h is used to calculate the volume of a cylinder, where "Pi" represents the mathematical constant approximately equal to 3.14159, "r" is the radius of the base of the cylinder, and "h" is the height of the cylinder. To find the volume, you square the radius (r^2), multiply it by Pi, and then multiply the result by the height (h). The formula is derived from the formula for the area of a circle (Pi x r^2) multiplied by the height of the cylinder.
How many toothpicks can be produced in 1 meter tree?
The number of toothpicks that can be produced from a 1-meter tree can vary depending on the size and type of tree, as well as the method of production. On average, a mature pine tree can yield about 3,000 to 4,000 toothpicks per cubic meter of wood. Therefore, a 1-meter tree may yield approximately 75 to 100 toothpicks. However, this estimate can fluctuate based on the specific characteristics of the tree and the efficiency of the toothpick manufacturing process.
Well, honey, technically speaking, 5 x is the same as x 5 when we're talking about multiplication. The order of the numbers doesn't matter in multiplication, so whether you write 5 x or x 5, you're still getting the same result. Math doesn't care about the order, it just cares about getting the right answer, darling.
