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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 the integral of ln2?

Oh, dude, the integral of ln(2) is just xln(2) + C, where C is the constant of integration. It's like the cool kid at the party that just hangs out and doesn't really do much. So yeah, that's the integral of ln(2) for ya.

X plus 6 equals 20 what is x?

Oh honey, if X plus 6 equals 20, then X must be 14. It's basic math, darling. Just subtract 6 from 20 and you've got your answer. Math can be a piece of cake if you just give it a try.

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.

Can the domain x repeat in a function?

Oh, what a lovely question! In the world of functions, each input value (x) should correspond to only one output value. This means that the domain (x-values) should not repeat in a function to keep things organized and clear. Just like painting a happy little tree, each branch should have its own place to shine!

What is the factor of the trinomial 3m2 plus 11mn plus 6n2?

To find the factors of the trinomial (3m^2 + 11mn + 6n^2), we need to break it down into two binomials. First, we find two numbers that multiply to the product of the leading coefficient and constant term, which are (3 \times 6 = 18). Then, we look for two numbers that add up to the middle coefficient, which is 11. The factors are ((3m + 2n)(m + 3n)).

What are the first 25 digits of pi?

3.141 592 653 589 793 238 462 643

3.141 592 653 589 793 238 462 643

3.141 592 653 589 793 238 462 643

3.141 592 653 589 793 238 462 643

What is 1215 as a fraction in simplest form?

To express 1215 as a fraction in simplest form, we can write it as 1215/1. Since 1215 and 1 share no common factors other than 1, the fraction 1215/1 is already in its simplest form.

What angle is 98 degrees?

angle between 90 and 180 degrees is A obtuse angle

1.8 billion is equal to how many million?

Oh, dude, 1.8 billion is like 1,800 million. So, if you're ever in a situation where you need to convert billions to millions, just move that decimal point over a few spots and voila, you've got your answer. It's not rocket science... unless you're a rocket scientist, then it might be.

Simplify 2t squared plus 8t plus 5 equals 0?

Let's simplify this together, friend. To solve the equation 2t^2 + 8t + 5 = 0, we can use the quadratic formula or factor it. If we factor, we look for two numbers that multiply to 2*5=10 and add up to 8. Once we find those numbers, we can rewrite the equation in factored form to find the solutions for t. Just take your time and enjoy the process of unraveling this mathematical mystery.

How do you find 100 x n equals 4.5?

To find the value of n in the equation 100n = 4.5, you would first divide both sides by 100 to isolate the variable n. This would give you n = 4.5 / 100, which simplifies to n = 0.045. Therefore, the value of n that satisfies the equation 100n = 4.5 is 0.045.

4x plus 3y equals -15 2x-3y equals -3?

4x + 3y = -15

2x - 3y = -3

Simultaneous Equations.

Since the coefficient of 'y' is '3' , but of opposite sign, we can add the eq'ns. This will eliminate 'y'

Hence

6x = -18

Divide both sides by '6'

Hence

x = -3

We now substitute this value of 'x' into either eq'n to find 'y' /

Hence

2(-3) -3y = -3

-6 - 3y = -3

-3y = 3

y = -1

Hencethe answer in ( x,y) form is ( -3, -1).

What equals 152?

There are an infinite number of possible answers.

152*1 or 151+1 or 153-1 or 153/1

and then we can try with 2, 3, 4, etc

and then with 0.1, 0.2 etc

and then 1.1, 1.2, 1.3, ... 2.1, 2.2, 2.3, ... 3.1, etc

and then irrational numbers.

How do you differentiate 2tanx?

Oh, dude, it's like super easy. So, to differentiate 2tanx, you just use the chain rule. You take the derivative of tanx, which is sec^2x, and then multiply it by the derivative of the inside function, which is just 2. So, the answer is 2sec^2x. Easy peasy, right?

What plus -6 equals 12?

To solve the equation "x + (-6) = 12," you need to isolate the variable x by adding 6 to both sides of the equation. This cancels out the -6 on the left side, leaving you with x = 18. Therefore, the value of x that satisfies the equation is 18.

What is 2x squared?

2x squared can best be describe as some variable being double and then squared.

Is signum function a bijective function?

Honey, the signum function is about as bijective as a one-way street. It sure ain't bijective, because it maps every non-zero number to 1, completely ignoring the negative numbers. So, in short, signum function is not bijective, it's as one-sided as a bad Tinder date.

If x is 3 what is y?

Without further context or information about the relationship between x and y, it is impossible to determine the value of y when x is 3. The value of y could be anything depending on the equation or function that defines their relationship. In mathematics, x and y are often related through equations or functions, and without that information, we cannot determine the specific value of y when x is 3.