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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.

25,066 Questions

All of the following are steps in derivative classification?

All of the following are steps in derivative classification EXCEPT:

  • Seek additional guidance to resolve uncertainty
  • Analyze material to be classified
  • Use authorized sources for guidance
  • Make recommendations for others to mark the new document

What is x squared plus x cubed?

x² + x³ = x² + x³. This expression is already as simplified as it can be.

How do you solve 3log5 125 - log2 8 equals x?

To solve the equation 3log5 125 - log2 8 = x, you can use the properties of logarithms. First, simplify the logarithmic expressions: 3log5 125 simplifies to log5 (125^3), and log2 8 simplifies to log2 (2^3). This gives you log5 15625 - log2 8 = x. Then, you can combine the logarithms using the quotient rule to get log5 (15625/8) = x. Finally, simplify the expression inside the logarithm to get x = log5 1953.125.

What is 8 minus x?

In the expression 8 - x, "8" is the minuend and "x" is the subtrahend. When you subtract x from 8, you are finding the difference between the two values. The result will vary depending on the value of x.

What does x times y equal?

Oh, dude, x times y equals the product of x and y. It's like when you have x groups of y things, and you're too lazy to count them all out individually, so you just multiply them together and call it a day. Math, man, it's wild.

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.

What is the value of x when y equals 0?

Well, isn't that a happy little question! When y equals 0, it means that the point is right on the x-axis. So, the value of x at that point is also 0. Just like painting, math can be a beautiful and peaceful experience when we take our time to understand it.

What is the remainder when 2 is synthetically divided into the polynomial -3x2 plus 7x minus 9?

Oh, what a happy little question! Let's gently divide 2 into the polynomial -3x^2 + 7x - 9. When we do that, we find that the remainder is -6x - 21. Just remember, there are no mistakes, only happy little accidents in math!

How do you solve 3x plus 4?

Well, honey, solving 3x + 4 is as easy as stealing candy from a baby. You just subtract 4 from both sides to isolate the 3x, then divide by 3 to get x. Voila! You've cracked the code and solved that little math puzzle.

What does 6 x 2.25 equals?

6 x 2.25 equals 13.5. This calculation involves multiplying the whole number 6 by the decimal number 2.25. To find the product, you can multiply 6 by 225 (ignoring the decimal point) to get 1350, and then move the decimal point two places to the left to account for the two decimal places in 2.25, resulting in 13.5.

How many times does the graph of y equals -x2 plus 3 cross the x-axis A. None B. One C. Two D. Three?

The graph of y = -x^2 + 3 crosses the x-axis when y = 0. To find the number of times it crosses the x-axis, we set -x^2 + 3 = 0 and solve for x. This equation has two solutions, so the graph crosses the x-axis twice. Therefore, the answer is C. Two.

What is infinity - 1?

This is a hard concept to understand, since infinity is not a definite number. It can keep carrying on forever, which makes it a surreal number.

However, 1 can be measured by infinity as well, due to the never ending amount of decimal places, for example, 1 x 10^-6 [0.000001], 1 x 10^-12 [0.000000000001] and so on.

So, since it is impossible to determine the boundary of infinity, for 1 and for infinity itself, it is most agreed that the result will still be infinity, for whatever sum or subtraction you do, excluding infinity - infinity (0).

What would be the value of y when x is 100?

To determine the value of y when x is 100, we need more information about the relationship between x and y. If we have an equation or function relating x and y, we can substitute x=100 into the equation to find the corresponding value of y. Without this information, it is impossible to determine the value of y when x is 100.

What is y times -z?

-zy

or y(-z) and viceversa

or y x -z and viceversa

How do you simplify x times 3?

Well, honey, to simplify x times 3, you just multiply them together. So, the answer is 3x. It's as simple as that, darling.

What is x plus 1 equal?

Since we always say that x equals the number 1, because we can assume that the equation is 1 + 1. So the answer is 2.

What is 2 times the sum of x and y?

To find 2 times the sum of x and y, you first need to calculate the sum of x and y by adding the two variables together. Once you have the sum, you multiply it by 2 to get the final result. In mathematical terms, the expression for 2 times the sum of x and y can be written as 2(x + y).

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!

Whats the area of 5cm and 3cm?

If the dimensions given are the length and the width, the area is determined by multiplying the length X width (5 X 3 = 15 sq cm).

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 y when x is three?

In mathematics, when we have an equation with two variables like y = f(x), we can find the value of y when x is three by substituting x = 3 into the equation. Without the specific equation provided, it is impossible to determine the value of y when x is three. The solution would depend on the function or relationship between y and x given in the equation.