Calculus

The domain x can repeat in a function as long as it represents the same integer throughout the entire function.

* * * * *

The above answer is not true for a number of reasons.

First of all, the domain of a function need not be restricted to integers, as is implied above.

Second, consider f of x, denoted by f(x), which is defined in the following table:

x f(x)

1 2

2 3

1 4

The value x = 1 repeats. In both cases it represents the same integer. However, the corresponding value of f(x) is not the same. The relationship between x and f(x) is one-to-many. Therefore, f(x) is not a function.

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)).

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

y2

1.1429

angle between 90 and 180 degrees is A obtuse angle

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.

2t2+8t+5 = 0 The expression in this quadratic equation is not so simple to factorise because 5 is a prime number which has only two factors (itself and one) but we can get a near enough solution by using the quadratic equation formula. Using the quadratic equation formula gives the solution as: t = - 0.7752551286 or t = - 3.224744871

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.

11

4x+3y=-15

2x-3y=-3

Take second equation and multiply the whole with 2 so that when subtracting the two equations we can cancel out x. so it becomes 4x-6y=-6

4x +3y = -15

( - ) 4x -6y = -6

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0x + (+3-(-6))y = -15 - (-6))

9y = -9 .. or y=-1

So take any one equation and find x by substituting y value

2x - 3(-1)= -3

2x +3 = -3

2x = -6

x = -3

So x = -3, y = -1

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.

Coefficients can be removed when differentiating, i.e. d/dx 2tanx = 2 d/dx tanx

You should know that d/dx tanx = sec2x (either by differentiating sinx/cosx or by just remembering the derivatives of common trig functions, as it will come in handy).

So the answer is 2sec2x

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.

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

The signum function is defined as follows:

f(x) = -1 if x < 0

= 0 if x=0

= 1 if x > 0

It is not one-to-one (bijective) as can be easility seen).

f(2)=1

f(3)=1

f(10)=1

and so on.

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.

In mathematics, b x b represents the product of a number b multiplied by itself. This operation is also known as squaring a number. For example, if b = 3, then b x b = 3 x 3 = 9. The result of b x b is always equal to b raised to the power of 2, denoted as b^2.

Oh, dude, direct variation is when two variables change in the same way. In this case, 5x + 3 = 8y + 3, so technically they are changing in the same way by adding 3 to both sides. So, yeah, I guess you could say it's a direct variation, but like, who really cares, right?

Oh, dude, it's like super easy! So, if you have 86 plus x equals 112, you just subtract 86 from 112, and you get 26. So, the value of x is 26. Like, no big deal, right?

The opposite of negative is positive. In mathematics, the term "negative" refers to numbers less than zero, while "positive" refers to numbers greater than zero. These terms are used to describe the direction or sign of a number on the number line.

Well, isn't that a happy little math problem we have here? To solve 3x + 5y, you just need to combine like terms. You can't add x and y together, so the expression stays as 3x + 5y. Just remember, there are no mistakes in math, only happy little accidents!

4x4 = 16 is a perfect square.