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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

Is signum function differentiable?

The signum function is differentiable with derivative 0 everywhere except at 0, where it is not differentiable in the ordinary sense.

However, but under the generalised notion of differentiation in distribution theory, the derivative of the signum function is two times the Dirac delta function or twice the unit impulse function.

What is the solution of 4x - 2 equals 4x - 2 and why?

There is no solution yet, for x is an unknown. Once x is known, one can plug in the numbers. 4x-2=4x-2 because they are the exact same on both sides of the equal sign.

50 plus what equals 180?

To solve this one, subtract 50 from 180 and you'll have your answer.

What does A plus B plus C equal?

In mathematics, when you add three variables A, B, and C together, the result is the sum of the three values. This can be represented as A + B + C. The sum of A plus B plus C is simply the total value obtained by adding the individual values of A, B, and C.

What are the first ten digits of pi?

Ah, the beautiful number pi! Let's see, the first ten digits are 3.141592653. Isn't that just a happy little sequence? Just like painting, math can be a wonderful way to appreciate the beauty and harmony in the world around us.

What is 3x plus 3x?

Well, darling, 3x plus 3x is simply 6x. It's as easy as stealing the last cookie from the jar when no one's looking. So go ahead and flaunt that math knowledge like it's your favorite pair of shoes.

What is y plus 3?

In mathematics, "y plus 3" is an algebraic expression representing the sum of a variable 'y' and the constant 3. This expression cannot be simplified further unless the value of 'y' is known. If 'y' is a known value, then the sum can be calculated by adding 3 to that value. If 'y' is unknown, then the expression "y + 3" remains as is, representing a sum of 'y' and 3.

How do you use the sigma sign in math?

The capital letter sigma (Ʃ) means sum, so this tells you to add up a set of numbers.

What does cft mean in merchandising?

CFT in merchandising stands for "Cost, Freight, and Insurance." It refers to the total price a buyer pays for goods, including the cost of the product, shipping charges, and insurance fees. So, next time you see CFT in the world of merchandising, just remember it's the whole shebang of what you're shelling out for those goods.

What is 15000 x 100?

15000 x 100 is equal to 1,500,000. This is because when you multiply a number by 100, you are essentially adding two zeros to the end of the number. In this case, 15,000 with two additional zeros becomes 1,500,000.

Can velocity be 0 but speed not 0?

Speed and Velocity are two words that mean the same.

You may mean, "Can Velocity be 0 but acceleration not 0".

Yes, this occurs when a moving object is changing direction (say from moving forwards to moving backwards) or is just about to move or, at that very instant has just come to a halt.

In all these cases, speed /velocity is zero but the body is accelerating.

Don't forget, the word acceleration is also used when an object is decelerating (slowing down).

What is 6x plus 5x?

Well, isn't that just a happy little math problem we have here? When you have 6x and add 5x to it, you end up with 11x. It's like adding more trees to your painting to make it even more beautiful and complete. Just remember, there are no mistakes in math, only happy little accidents.

What is the answer to 2 plus 8?

The answer to 2 plus 8 is 10. Addition is a basic arithmetic operation where two or more numbers are combined to find their total sum. In this case, adding 2 and 8 together results in 10, as each number contributes its value to the final sum.

How do you solve proportions?

To solve proportions, you need to set up a ratio equation where two ratios are equal to each other. Cross-multiply by multiplying the numerator of the first ratio by the denominator of the second ratio, and vice versa. Then solve for the variable by dividing both sides of the equation by the coefficient of the variable. Finally, check your solution by plugging it back into the original proportion to ensure it balances.

What do you multiply by 3 to get 45?

To find the number you need to multiply by 3 to get 45, you can set up the equation 3x = 45, where x is the unknown number. To solve for x, you divide both sides by 3, which gives you x = 45 / 3. Therefore, you need to multiply 3 by 15 to get 45.

What is a complicated equation with 80 as answer?

That's an arbitrary question. You can make any expression you want that includes 80 somewhere and simplify it. Then substitute x for 80 on the left hand-side and set this equal to the expression you found. For example, I came up with the following using this method:

(x+100)2/(sqrt(x)+3)=(129600*sqrt(10)-97200)/71

What is the integral of ln2?

The integral of ln(2) is a constant multiple of x times the natural logarithm of 2, plus a constant of integration. In other words, the integral of ln(2) with respect to x is x * ln(2) + C, where C is the constant of integration. This integral represents the area under the curve of the natural logarithm of 2 function with respect to x.

X plus 6 equals 20 what is x?

To get the answer to this question you would do this: 6-20=14 14+6=20 X=14

What is 4 x 4 over 5?

To calculate 4 x 4 over 5, you first multiply 4 by 4 to get 16. Then, you divide 16 by 5 to get the final answer of 3.2.

Does (0 -5) make the equation y -6x -5 true?

Well, let's take a moment to look at this equation. If we substitute x = 0 and y = -5 into the equation y - 6x - 5, we get -5 - 6(0) - 5. Simplifying this, we get -5 - 0 - 5, which equals -10. So, unfortunately, (0, -5) does not make the equation true. But don't worry, mistakes are just happy little accidents that help us learn and grow.

Where to find FREE solutions of Calculus by Thomas Finney 9th edition?

Oh, dude, finding a free solution manual for a specific textbook like Calculus by Thomas Finney 9th edition can be like searching for a needle in a haystack. You might have better luck asking your professor or checking out online forums where students share study resources. Remember, just because it's free doesn't mean it's easy to come by!

5y equals 1.25 what is y?

To solve for y in the equation 5y = 1.25, you need to isolate y by dividing both sides by 5. This gives you y = 1.25 / 5. When you divide 1.25 by 5, you get y = 0.25. Therefore, y is equal to 0.25 in this equation.