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Komok [63]
3 years ago
11

Is x independent or dependent

Mathematics
2 answers:
Aleks04 [339]3 years ago
7 0

Answer:

Independent

Step-by-step explanation:

X is independent

Y is dependent

hodyreva [135]3 years ago
6 0

Answer:

x is an independent variable

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Simplify the trigonometric expression. Is this the correct answer?
horrorfan [7]

Answer:

\boxed{\tan \theta}

Step-by-step explanation:

\dfrac{\tan \theta }{\sin^{2} \theta + \cos^{2} \theta}

Use the trigonometric identity

\sin^{2}\theta + \cos^{2}\theta = 1

Then,

\dfrac{\tan \theta }{\sin^{2} \theta + \cos^{2} \theta} = \dfrac{\tan \theta }{1} = \boxed{\tan \theta}

5 0
3 years ago
What's the intuition behind the equation 1+2+3+⋯=−1121+2+3+⋯=−112 ?
Aleks [24]
The sum clearly diverges. This is indisputable. The point of the claim above, that

1+2+3+\cdots=-\dfrac1{12}

is to demonstrate that a sum of infinitely many terms can be manipulated in a variety of ways to end up with a contradictory result. It's an artifact of trying to do computations with an infinite number of terms.

The mathematician Srinivasa Ramanujan famously demonstrated the above as follows: Suppose the series converges to some constant, call it C. Then

\begin{matrix}C&=&1&+2&+3&+4&+5&+6&+\cdots\\4C&=&&+4&&+8&&+12&+\cdots\\-3C&=&1&-2&+3&-4&+5&-6&+\cdots\end{matrix}

Now, recall the geometric power series

\displaystyle\sum_{n\ge0}x^n=1+x+x^2+x^3+\cdots=\dfrac1{1-x}

which holds for any |x|. It has derivative

\displaystyle\sum_{n\ge1}nx^{n-1}=1+2x+3x^2+4x^3+\cdots=\dfrac1{(1-x)^2}

Taking x=-1, we end up with

1+2(-1)+3(-1)^2+4(-1)^3+\cdots=1-2+3-4+\cdots=\dfrac14

and so

-3C=\dfrac14\implies C=-\dfrac1{12}

But as mentioned above, neither power series converges unless |x|. What Ramanujan did was to consider the sum 1-2+3-4+\cdots as a limit of the power series evaluated at x=-1:

\displaystyle-3C=\lim_{x\to-1^+}\sum_{n\ge1}nx^{n-1}=\lim_{x\to-1^+}\frac1{(1-x)^2}=\frac14

then arrived at the conclusion that C=-\dfrac1{12}.

But again, let's emphasize that this result is patently wrong, and only serves to demonstrate that one can't manipulate a sum of infinitely many terms like one would a sum of a finite number of terms.
4 0
3 years ago
4. If A ABC = ADEF, mZ A = 50°, and mZE= 30°, what is m 2 C?
zimovet [89]

Answer:

100

Step-by-step explanation:

50+30=80

180-80=100

Hope this helped :)

6 0
3 years ago
Please help me I don’t remember how to do it
icang [17]
In this problem, you must change the signs of everything in the parenthesis, which will come to 3x^2 + x - 5x^2 - x + 4. Add like terms, and you will end up with -2x^2 + 4, which is answer choice A. Hope this helped
6 0
3 years ago
Read 2 more answers
The list shows numbers in order from least to greatest. -34, -2 .-1.5.0.2.3, 10,25 Which is an integer that can be integer on th
Contact [7]

Answer:-2

Step-by-step explanation: I think

4 0
3 years ago
Read 2 more answers
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