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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 is 43 x 57 equals?

Answer = 2451.

1

2

43

57

------

. 301

215

2451

The small 2 and 1 are the 'carries' (3 x 7 = 21, and 3 x 5 = 15) The 2 is added to (4 x 7 = 28) to get 30 in 301. Then the 1 is added to (4x5 = 20) to get 21 in 215. I put the period in before 301 to try to get them to line up.

Y equals 16-x for x?

The equation Y = 16 - x represents a linear function where Y is the dependent variable and x is the independent variable. As x increases, Y decreases by the same amount due to the negative coefficient in front of x. The y-intercept of this function is 16, indicating the value of Y when x is 0. The slope of the function is -1, meaning for every unit increase in x, Y decreases by 1 unit.

What is the answer of 2x 7x?

Well, let's take a moment to appreciate the beauty of this expression. When we combine like terms, 2x and 7x, we add their coefficients together to get 9x. It's like blending different colors on your palette to create a harmonious masterpiece. Just remember, math is like painting - with a little practice and patience, you can create something wonderful.

How much of the world's population knows calculus?

Oh, dude, like, not everyone knows calculus, obviously. It's not like we're all sitting around solving derivatives for fun. But, like, if you want an actual number, I'd say maybe around 5-10% of the world's population knows calculus. But hey, who's counting?

What is one tenth of a kilogram?

A kilogram = 1,000 grams.

So, 1/10 of 1,000 = 100 grams or a hectogram.

What is 2x squared times x?

Oh, dude, you're hitting me with some math now? Okay, so 2x squared times x is just 2x cubed. It's like when you have 2 groups of x squared, and you add another x to each group, making it 2x cubed. Math can be fun, right?

What is 3 multiplied by infinity?

Sweetheart, 3 multiplied by infinity is still infinity. It's like trying to put out a forest fire with a water gun - it's just not gonna work. Infinity is an endless concept, so no matter how many times you multiply 3 by it, you're still left with infinity.

Find the requested value If p x equals 20x5 - 20x4 plus 24x2 and q x equals 4x2 find p over q x?

p x = 20 x5 - 20 x4 + 24 x2

q x = 4 x2

p = 20 x4 - 20 x3 + 24 x, if xis not equal to 0

p / qx = ( 20 x4 - 20 x3 + 24 x) / (4 x2) = (5 x4 - 5 x3 + 6 x) / x2

So p / qx = 5 x2 - 5 x + 6/x if x is not equal to 0

What is x2 divided by x?

If your doing exponents (x squared) the answer is x. If your multiplying( X times 2) the answer is 2

What is 81 x 4?

81 x 4 equals 324. This can be calculated by multiplying 81 by 4, which is the same as adding 81 four times. In simpler terms, you can think of it as 81 multiplied by 4, resulting in the product of 324.

What are the solutions to the simultaneous equations of x squared plus xy plus y squared equals 7 and 2x plus y equals 1 showing work?

Well, darling, to solve these equations simultaneously, you first need to substitute the value of y from the second equation into the first equation. Then, you'll end up with a quadratic equation in terms of x. Solve that bad boy using the quadratic formula, and you'll find the values of x. Plug those values back into the second equation to find the corresponding y values. Voila, you've got your solutions!

What is 0.7 x 4?

Oh, dude, like, 0.7 times 4 is 2.8. It's like, you just move the decimal point over one place to the right and boom, there's your answer. Easy peasy lemon squeezy.

How do you write half of x?

Well, honey, writing half of x is as easy as slicing a pie. Just divide x by 2 and there you have it, half of x. It's like cutting a sandwich in half, simple as that. So, go ahead and show x who's boss by splitting it right down the middle.

How do you factorise 2x plus 14?

the GCF of each term is 2; so, you simply factor out a 2 from each term.

---------------------------

2x + 14

factor out the 2 to get:

2( x + 7 )

What can 310 be divided by?

310 can be divided by 1, 2, 5, 10, 31, 62, 155, and 310. These are factors of 310, meaning they can divide 310 evenly without leaving a remainder.

What s.f. means in math?

significant figures.

For any number, the sf is the number of digits from the first non-zero digit to the last non-zero digit. Any zeros within that range ARE counted.

So, for example,

1.23000 sf = 3

1.0230 sf = 4

00567.5 sf = 4

5.000000001 sf = 10

What is the value of x in the equation 7x - 3 32?

Oh, dude, the value of x in that equation is 5. Like, you just add 3 to both sides, then divide by 7. It's like basic math, man.

Why does the period of tan x equals pi?

If you look at the graph of the tangent function, you will see it has a vertical asymptote at x = pi/2. This is because the tangent approaches infinity as t approaches pi/2. It approaches negative infinity as t approaches -pi/2.

The distance between - pi/2 and pi/2 is pi which is the period.

Another way to see this is tanx is sinx divided by cosx.

We cannot have cosx equal to zero or we would be dividing by zero.

So when does cosx=0? It happens when x=pi/2 or -pi/2. It also equal 0 as

multiples, both positive and negative ones, or pi/2 such as 3pi/2, 5pi/2 etc.

2 x what equals 44?

2 x 22 equals 44. Multiplying 2 by 22 gives you the product of 44. In this case, 22 is the number that, when multiplied by 2, equals 44.