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Bingel [31]
3 years ago
15

Differentiate cosec5x

Mathematics
1 answer:
Marizza181 [45]3 years ago
7 0

\dfrac{d}{dx} \csc(5x)\\\\=-\csc(5x) \cdot \cot (5x) \cdot \dfrac{d}{dx} (5x)\\\\=-5\csc(5x) \cdot \cot(5x)

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100 POINTS FOR WHOEVER ANSWER THIS QUESTION FULLY!!!
natulia [17]

Answer:

  • Yes, diagonals bisect each other

Step-by-step explanation:

<em>See attached</em>

Plot the points on the coordinate plane

Visually, it is seen that the diagonals bisect each other.

We can prove this by calculating midpoints of AC and BD

<u>Midpoint of AC has coordinates of:</u>

  • x = (1 - 1)/2 = 0
  • y = (4 - 4)/2 = 0

<u>Midpoint of BD has coordinates of:</u>

  • x = (4 - 4)/2 = 0
  • y = (-1 + 1)/2 = 0

As per calculations the origin is the bisector of the diagonals.

7 0
3 years ago
Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4
Roman55 [17]

\bf \cfrac{1}{2}~~,~~\stackrel{2\cdot \frac{1}{2}}{1}~~,~~\stackrel{2\cdot 1}{2}~~,~~\stackrel{2\cdot 2}{4}~~,...

so as you can see the common ratio is 2, and the first term is 1/2,

\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad  \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}

4 0
4 years ago
Read 2 more answers
A function is blank a relation<br> *always<br> *sometimes<br> *never
zvonat [6]

Answer:

The correct answer is A.) Always

Step-by-step explanation:

A function is defined as a relation in which each element of the domain is mapped to one element of the range. In the definition itself, it is defined as a relation

I hope this helps you :)

-KeairaDickson

5 0
3 years ago
It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet. Please help
Luda [366]

Answer:

The set of natural numbers is the set of all positive integers, then this set is:

{1, 2, 3, ...}

and the 24th letter of the alphabet is x

Now we want to write the expression given in the sentence "It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"

We can "break" this in parts, so it is easier to understand.

Then:

"...the sum of the first 3 natural numbers..."

is:

1 + 2 + 3

Then:

"...the sum of the first 3 natural numbers, followed by the 24th letter of the alphabet"

This can be written as:

(1 + 2 + 3) + x

Now we can analyze the complete sentence:

"It is one more than the sum of the first three natural numbers, followed by the 24th letter of the alphabet"

This is equal to the expression we found above plus one, then we can write this as:

[(1 + 2 + 3) + x] + 1

[6 + x] + 1

6 + x + 1

7 + x

4 0
3 years ago
Factor 15 + 50.<br> 5(10 + 3)<br> 5(3 + 10)<br> 3(5 + 25)<br> 10(5 + 5)
Agata [3.3K]

Answer:

B

Step-by-step explanation:

So we have the expression:

15+50

Since 5 goes into both 15 and 50, we can factor out a 5. First, rewrite the numbers as:

5(3)+5(10)

Factor out the 5:

=5(3+10)

So, our answer is B

And we're done!

8 0
3 years ago
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