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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 factorization of 8x plus 26x - 7?

Well, darling, factorization is just a fancy term for breaking down an expression into its simplest parts. In this case, we have 8x + 26x - 7. Combine like terms to get 34x - 7. So, the factorization of 8x + 26x - 7 is simply 34x - 7. Easy peasy lemon squeezy!

What is a mere relation?

A relation is an expression that is not a function. A function is defined as only having one domain per range, meaning that when graphed, a function will have no two points on the same vertical line. If your expression is graphed and two points do appear on the same vertical line, it is a relation, not a function.

What is 2x squared times 3x squared?

Oh, dude, you're hitting me with some math here. So, when you multiply 2x squared by 3x squared, you just multiply the numbers (2 * 3 = 6) and add the exponents (2 + 2 = 4), giving you 6x to the power of 4. It's like algebra on steroids, man.

How long would it take to count to 2000?

Oh, dude, counting to 2000? That's like, a whole lot of numbers, man. If you're counting one number per second without any breaks, it would take you about 33 minutes and 20 seconds. But hey, who's got time for that? Just grab a snack, put on a movie, and forget about counting to 2000.

What are the pros and cons of using the substitution or elimination method in equations?

Oh, dude, like, the substitution method is cool because you can easily solve for one variable and plug it into the other equation. But, like, it can get messy with fractions and decimals. The elimination method is great for getting rid of one variable right away, but it can be a pain to keep track of all those plus and minus signs. So, like, pick your poison, man.

What is half x squared equals x?

The equation "1/2x^2 = x" can be rewritten as "x^2 - 2x = 0" by multiplying both sides by 2 to eliminate the fraction. This equation can be factored as x(x-2) = 0, leading to solutions x=0 and x=2. Therefore, the values of x that satisfy the original equation are x=0 and x=2.

What does x times x to the power of negative 1 equal?

When you multiply a number by its reciprocal, the result is always 1. Therefore, x times x to the power of -1 is equal to 1. This can be understood by applying the rule of exponents that states x^(-1) is the same as 1/x. So, x * (1/x) = 1.

What is integral of SECx?

The integral of sec(x) with respect to x is ln|sec(x) + tan(x)| + C, where C is the constant of integration. This result can be derived using integration techniques such as substitution or integration by parts. The integral of sec(x) is a common integral in calculus and is often used in trigonometric integrals.

What is 80 x 0?

80 x 0 = 0

Think about it!!! If you have NOTHING (0), how can you multiply it to anything. !!!!

What is 3x plus 6y plus 6x?

Well, darling, 3x plus 6y plus 6x simplifies to 9x + 6y. That's all there is to it, sugar. Math doesn't have to be complicated, just like your love life!

What is the answer to cosx divided by x?

Oh, dude, you're hitting me with some math now? Alright, so the answer to cosx divided by x is technically (1/x) * cosx. But like, who really cares about math when you could be watching cat videos on the internet, am I right?

What is x to the power 8 divided by x squared?

Well, darling, when you divide x to the power of 8 by x squared, you subtract the exponents. So, x to the power of 8 divided by x squared is x to the power of 8 minus 2, which simplifies to x to the power of 6. So, there you have it, x to the power of 6 is the sassy answer you're looking for.

What is 7 X 7 equals?

7 groups of 7

times table for 7s

7 x 1 = 7

7 x 2 = 14

7 more and more and more. answer: 7 x 7 = 49

Is 3x equals 5y a linear equation?

YES!!!

When neither 'x' nor 'y' are taised to any power/index/exponent. then it is a linear equation.

3x = 5y

5y = 3x

Divide both sides by '5'

y = (3/5)x + 0

In other words it is a straight line, through the origin (0,0) of gradient '3/5'.

What does 36 I in a Y mean?

"36 I in a Y" is a cryptic way of expressing the phrase "36 inches in a yard." This is a conversion factor used in the United States customary system of measurement, where 1 yard is equivalent to 36 inches. It is important to understand these conversion factors when converting between different units of measurement to ensure accuracy in calculations.

Is it possible to make a plus or minus sign on a ti 84?

Well, sweetheart, it's not rocket science. To make a plus sign on a TI-84 calculator, you simply press the "+" key. And to make a minus sign, you press the "-" key. It's as easy as pie, so go ahead and crunch those numbers with confidence.

What does 11 divide by?

Well, isn't that a happy little question! When you divide 11 by another number, it's like sharing a big, beautiful cake into equal slices. In this case, 11 can be divided by numbers like 1, 11, and even itself, creating a sense of harmony and balance in the mathematical world. Just remember, no matter how you divide it, each slice is special and important in its own way.

Is -4 a solution to the inequality x greater than or equal to 4?

No, -4 is not a solution to the inequality x ≥ 4. In order for -4 to be a solution, it must make the inequality true when substituted for x. Since -4 is less than 4, it does not satisfy the condition of being greater than or equal to 4. Therefore, -4 is not a solution to the inequality x ≥ 4.

What is x squared times 2x squared?

To find the product of x squared and 2x squared, you multiply the coefficients (2 and 1) to get 2, and then add the exponents of x (2 and 2) to get x to the power of 4. Therefore, x squared times 2x squared is equal to 2x^4.

How many zero's are in the number infinity?

Oh, dude, infinity isn't really a number, it's more like a concept of endlessness. So technically, there are zero zeros in infinity because you can't really count that high. It's like trying to count all the hairs on your head - pointless and never-ending.

What is the square root of x to the fourth power?

Well, darling, the square root of x to the fourth power is simply x squared. It's like asking how many slices of cheesecake you can fit in your mouth at once - the answer is two, unless you're feeling extra ambitious. Just remember, math may be complex, but dessert is always a simple pleasure.