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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 0.5 x 0.8 equals?

Oh, dude, you're hitting me with the math questions now? Alright, alright, 0.5 times 0.8 equals 0.4. So, like, if you have half of something and then take 80% of that half, you're left with 0.4 of that thing. Math can be fun, right?

How many kilometers per liter does a Toyota 3K and 4K engine consume?

Oh, dude, you're hitting me with the Toyota engine trivia! So, the Toyota 3K engine typically consumes around 10-12 kilometers per liter, while the 4K engine can go for about 12-14 kilometers per liter. But hey, who's counting when you're cruising in a Toyota, am I right?

How do you graph x squared plus y squared equals 15?

Well, darling, that's the equation of a circle with radius √15 centered at the origin. To graph it, just draw a nice little circle with a radius of about 3.87 units. And there you have it, a perfect circle to add some pizzazz to your math class.

What does the E equals MC squared mean?

Einstein figured out this formula: Energy equal mass * 89,875,517,800,000,000 mtr²/sec²

What is X squared - Y squared divided by X-Y?

The expression (X^2 - Y^2) / (X - Y) can be simplified using the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b). Applying this formula, we get (X + Y)(X - Y) / (X - Y). The (X - Y) terms cancel out, leaving us with the simplified expression X + Y. Therefore, (X^2 - Y^2) / (X - Y) simplifies to X + Y.

Is signum function differentiable?

The signum function, also known as the sign function, is not differentiable at zero. This is because the derivative of the signum function is not defined at zero due to a sharp corner or discontinuity at that point. In mathematical terms, the signum function has a derivative of zero for all values except at zero, where it is undefined. Therefore, the signum function is not differentiable at zero.

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?

Yes, velocity can be 0 while speed is not 0. Velocity is a vector quantity that includes both speed and direction, so if an object is moving in a straight line and comes to a stop, its velocity is 0 but its speed is not 0. Speed, on the other hand, is a scalar quantity that only considers the magnitude of the motion, regardless of direction.

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?

Oh, dude, you're asking for a complicated equation with 80 as the answer? Like, that's a tall order, but how about this: 100 - 20 = 80. Boom, mind blown! Math can be fun when you keep it simple, am I right?