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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 7926 x 4?

The product of 7926 multiplied by 4 is 31,704. This can be calculated by multiplying the units digits first (6 x 4 = 24) and carrying over the tens place to the tens digit (2 x 4 = 8, plus the carried over 2 = 10). Then, multiply the tens digits (2 x 4 = 8) and add the carried over 1 from the previous step. Finally, multiply the hundreds digit (9 x 4 = 36) and add any carried over values.

Two times what equals nine?

Oh, what a happy little question! If we imagine a beautiful garden with flowers and trees, we can see that two times four equals eight, and one more two makes it nine! So, two times four plus one more two equals nine, creating a lovely balance in our mathematical landscape. Just remember, there are no mistakes in math, only happy little miscalculations.

What is an example of irrelevant goals or functions?

You want me to run three times a day, but how will that help me to make new friends?

What is 365 x 40?

365 x 40 is equal to 14,600. This can be calculated by multiplying 365 by 40, which is the same as adding 365 forty times. In other words, it represents the total when you have 365 groups of 40 items each.

How do you factorise 8x plus 12?

first you divide both sides by 2 then add brackets in front of the number:

  1. divide 8x+12= 4 and 6 divide again = 4 and 2 and 3

  2. add brackets= 4{2x=3}

Hope This Helped

What is y -18?

Ah, let's take a moment to appreciate the beauty of this equation. When we have y - 18, we are simply subtracting 18 from the value of y. It's like taking a peaceful stroll through the forest of mathematics, where each step brings us closer to understanding the harmony of numbers.

What is the value of y if x equals 0?

Well, darling, if x equals 0 in the equation, then y can be whatever the heck you want it to be! When x is 0, y is undefined, honey. So, go ahead and pick a number, any number, and call it y. Just don't expect it to make much sense in the grand scheme of things.

How do you write 1.08 as a fraction in simplest form?

1.08 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. And, since it is a decimal fraction, there is not another simpler decimal form. Its equivalent, in rational form, is 108/100 which can be simplified to 27/25.

What is x2 - x?

The expression x^2 - x represents a quadratic equation in standard form. It is a polynomial of degree 2, with x raised to the power of 2 and a coefficient of -1 for the linear term. This expression can be factored as x(x-1), which shows that it has two factors, x and (x-1). It is a parabolic function that opens upwards and crosses the x-axis at x=0 and x=1.

What is 830 in simplest form?

To simplify the number 830, we need to find the greatest common factor (GCF) between 830 and any other number. In this case, the number 830 is already in its simplest form because it cannot be divided evenly by any other number except 1 and itself. Therefore, 830 in simplest form remains as 830.

Does infinity minus infinity equal zero?

YES!!! Especially when converting decimal to inifinyt to a fraction.

What is the integral of dV by V?

Well, sweetheart, the integral of dV/V is simply ln|V| + C, where C is the constant of integration. So, in other words, the integral of dV/V is the natural logarithm of the absolute value of V, plus some boring constant. Math can be a real snoozefest, but hey, at least now you know the answer!

What is the gradient of the line y -4x 3 is?

The given equation is in the form y = mx + b, where m is the gradient or slope of the line. By comparing the equation y = -4x + 3 to the standard form, we see that the gradient is -4. Therefore, the gradient of the line y = -4x + 3 is -4.

What is negative x plus 3x?

The expression "negative x plus 3x" can be simplified by combining like terms. Negative x can be written as -1x, so the expression becomes -1x + 3x. When you combine -1x and 3x, you get 2x. Therefore, the simplified expression is 2x.

Is 3x a term?

Oh, dude, like, totally! So, a term in math is like a single mathematical expression, right? And 3x is totally just one term because it's like, one number (3) multiplied by a variable (x). So, yeah, 3x totally qualifies as a term in math lingo.

How do you factorise xy plus 3x?

To factorize xy + 3x, we first need to factor out the common factor, which is x. This gives us x(y + 3). Therefore, the factorized form of xy + 3x is x(y + 3).

What is a real life application?

A real life application is a situation that you may have faced or could face in the near future, usually based on a skill learned from typical school subjects. It is used to help prepare students for such situations, or to demonstrate that something they are learning is relevant to their lives. For example, while reading a textbook on mathematics you may encounter a passage that describes a real-life application of one of the skills in the chapter.

What is pie times x?

Pie times x? Well, I hope you're hungry because that sounds delicious! But if you're talking math, then pie times x is just x times the numerical value of pi, which is approximately 3.14159. So, in a nutshell, pie times x is just a fancy way of saying "3.14159 times x."

What is the square root of 126?

Well, isn't that a happy little question! The square root of 126 is approximately 11.22. Just imagine that number as a little tree in a beautiful meadow, reaching for the sky with its square root branches. Remember, there are no mistakes in math, just happy little miscalculations.

Sin30 cos90 sin 90 cos30?

To simplify the expression sin(30°) cos(90°) sin(90°) cos(30°), we first evaluate the trigonometric functions at the given angles. sin(30°) = 1/2, cos(90°) = 0, sin(90°) = 1, and cos(30°) = √3/2. Substituting these values into the expression, we get (1/2) * 0 * 1 * (√3/2) = 0. Therefore, the final result of sin(30°) cos(90°) sin(90°) cos(30°) is 0.