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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
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?
It is quite complicated, and starts before Fourier. Trigonometric series arose in problems connected with astronomy in the 1750s, and were tackled by Euler and others. In a different context, they arose in connection with a vibrating string (e.g. a violin string) and solutions of the wave equation.
Still in the 1750s, a controversy broke out as to what curves could be represented by trigonometric series and whether every solution to the wave equation could be represented as the sum of a trigonometric series; Daniel Bernoulli claimed that every solution could be so represented and Euler claimed that arbitrary curves could not necessarily be represented. The argument rumbled on for 20 years and dragged in other people, including Laplace. At that time the concepts were not available to settle the problem.
Fourier worked on the heat equation (controlling the diffusion of heat in solid bodies, for example the Earth) in the early part of the 19th century, including a major paper in 1811 and a book in 1822. Fourier had a broader notion of function than the 18th-century people, and also had more convincing examples.
Fourier's work was criticised at the time, and his insistence that discontinuous functions could be represented by trigonometric series contradicted a theorem in a textbook by the leading mathematician of the time, Cauchy.
Nonetheless Fourier was right; Cauchy (and Fourier, and everyone else at that time) was missing the idea of uniform convergence of a series of functions. Fourier's work was widely taken up, and also the outstanding problems (just which functions can be represented by Fourier series?; how different can two functions be if they have the same Fourier series?) were slowly solved.
Source: Morris Kline, Mathematical Thought from Ancient to Modern Times, Oxford University Press, 1972, pages 478-481, 502-514, 671-678,and 964.
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.
The product of 45.3 multiplied by 6 is 271.8. This calculation involves multiplying the whole number portion (45) by 6, which equals 270, and then adding the product of the decimal portion (0.3) multiplied by 6, which equals 1.8. Therefore, the final result is 271.8.
Oh, dude, you're hitting me with the math questions now? Alright, so 100 times 10 percent is like 10. But, like, if you want the answer in a more official way, it's actually 10. Because 10 percent of 100 is just 10. Math, right?
What is the answer to x plus y equals 3 and 2x-y equals 3?
Oh, dude, we got a math problem here. So, if you solve those two equations simultaneously, you'll find that x equals 2 and y equals 1. But hey, who needs math when you've got Google, right?
What is 1 divided by infinity?
0 is your answer (not a number close to zero). Or mathematicially more precise: approaches zero. Remember that infinity is not a number but is is treated as if it is something larger than any number. If we divide 1 by bigger and bigger numbers, then the quotient get closer and closer to 0, therefore 1 divided by infinity is zero. We can even say that 1 divided by negative infinity equals zero because if we divide 1 by a negative million, or negative billion, etc. the quotient goes to 0.
How many diagonals does a 8 sided polygon have?
An eight-sided polygon has 8 vertices. Consider
1st vertex = 7 diagonals to other vertices
2nd vertex = 6 diagonals to other vertices (since one has now been used)
3rd vertex = 5
4th vertex = 4
5th vertex = 3
6th vertex = 2
7th vertex = 1
8th vertex = 0, so
7+6+5+4+3+2+1 = 28
Improved Answer:-
Formula for finding diagonals of a polygon 0.5*(n2-3n) when n is the number of sides
0.5*(82-24) = 20 diagonals
Solutions to the quadratic equation x2 - 5x plus 4 equals 0 are?
Oh, dude, for this quadratic equation x^2 - 5x + 4 = 0, the solutions are just the roots of the equation. You can find them by either factoring the quadratic or using the quadratic formula. So, like, the solutions are x = 1 and x = 4. Easy peasy lemon squeezy!
What is the value of the expression 4x-2y plus xy when x equals -1and y equals 5?
To find the value of the expression 4x - 2y + xy when x = -1 and y = 5, we first substitute the values of x and y into the expression. This gives us 4(-1) - 2(5) + (-1)(5). Simplifying this further, we get -4 - 10 - 5, which equals -19. Therefore, the value of the expression is -19 when x = -1 and y = 5.
1 MLD is equal to how many KLD?
1 kld is = 1000 litres = 1 cubic meter
1 mld is = 1000000 litres = 1000 cubic meter
so, 1 mld is = 1000 kld
note:
kld = kilo litres per day
mld = millions of litres per day
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What is the quotient of 300 and the quantity of x times 2?
Oh, dude, you're hitting me with some math lingo here. So, like, the quotient of 300 and the quantity of x times 2 is just 150 divided by x. It's like dividing 300 by 2x, but simpler. Math can be fun, right?
What is the value of k x l x m x n?
The value of k x l x m x n is the product of all four variables: k, l, m, and n. To find the final value, you would simply multiply the numerical values of k, l, m, and n together. This operation follows the commutative property of multiplication, meaning you can multiply the numbers in any order and still get the same result.
What is the capacity of 3cm x 5cm x 2cm?
Ah, what a delightful question! When we talk about capacity, we're looking at how much space an object can hold. To find the capacity of a rectangular prism like this one, you simply multiply the three dimensions together - so for a 3cm x 5cm x 2cm prism, the capacity would be 30 cubic centimeters. Just imagine all the happy little things you could fit in there!
