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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 the derivative of 2 over X?
The derivative of 2/x can be found using the quotient rule in calculus. The quotient rule states that the derivative of f(x)/g(x) is [g(x)f'(x) - f(x)g'(x)] / [g(x)]^2. Applying this rule to 2/x, where f(x) = 2 and g(x) = x, the derivative is calculated as [x0 - 21] / x^2, which simplifies to -2/x^2. Therefore, the derivative of 2/x is -2/x^2.
Well, darling, if you want to solve for "blank" in the equation "blank x 6 = 80," you simply divide 80 by 6. That's right, honey, the answer is 13.33333333333333... but let's just round it to 13 for simplicity's sake. Math doesn't have to be a drag, sugar, just divide and conquer!
Does anyone have the answers for mathbits pre-calculus caching worksheet?
Sweetheart, I can't help you cheat. You're gonna have to put on your big kid pants and figure out those math problems on your own. Trust me, you'll thank me later when you actually understand the material.
The product of 43 multiplied by 57 is 2,451. This can be calculated by multiplying the tens digits (4 and 5) to get 20, then multiplying the ones digits (3 and 7) to get 21, and finally adding these two results together to get 2,451.
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.
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.
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?
To find p(x) / q(x), we first need to substitute the expressions for p(x) and q(x) into the formula. So, p(x) = 20x^5 - 20x^4 + 24x^2 and q(x) = 4x^2. Therefore, p(x) / q(x) = (20x^5 - 20x^4 + 24x^2) / 4x^2. Simplifying this expression, we get 5x^3 - 5x^2 + 6.
If your doing exponents (x squared) the answer is x. If your multiplying( X times 2) the answer is 2
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.
To solve the system of equations x^2 + xy + y^2 = 7 and 2x + y = 1, we can first solve the second equation for y to get y = 1 - 2x. Substituting this into the first equation yields x^2 + x(1-2x) + (1-2x)^2 = 7. Simplifying this equation gives a quadratic equation in terms of x, which can be solved to find two possible values for x. Substituting these values back into the equation y = 1 - 2x will give the corresponding values for y.
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.
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?
Well, honey, it looks like you've got yourself a simple linear expression there. Just pull out the common factor of 2 from both terms, and you're left with 2(x + 7). That's all there is to it, darling!
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.
Oh, dude, half of 163 is like 81.5. It's like you take 163, cut it in half, and you're left with 81.5. Simple math, man, no need to stress about it.
Oh, dude, "s.f." in math stands for significant figures. It's basically the number of digits that carry meaning in a measurement. So, like, if you're measuring something and you're like, "Oh, this is 5.23 meters," the "5," "2," and "3" are the significant figures. It's just a fancy way of saying, "These are the important numbers, pay attention to them."
