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Lemur [1.5K]
3 years ago
13

Write a number between 0 to 20 that has two factors

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
5 0
4
6

Cause 4 times 1 and 2 times 2
denis23 [38]3 years ago
4 0
A number between 0 and 20 with two factors is 2
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If x = a cosθ and y = b sinθ , find second derivative
Olin [163]

I'm guessing the second derivative is for <em>y</em> with respect to <em>x</em>, i.e.

\dfrac{\mathrm d^2y}{\mathrm dx^2}

Compute the first derivative. By the chain rule,

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}

We have

y=b\sin\theta\implies\dfrac{\mathrm dy}{\mathrm d\theta}=b\cos\theta

x=a\cos\theta\implies\dfrac{\mathrm dx}{\mathrm d\theta}=-a\sin\theta

and so

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{b\cos\theta}{-a\sin\theta}=-\dfrac ba\cot\theta

Now compute the second derivative. Notice that \frac{\mathrm dy}{\mathrm dx} is a function of \theta; so denote it by f(\theta). Then

\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm dx}

By the chain rule,

\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm df}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}

We have

f=-\dfrac ba\cot\theta\implies\dfrac{\mathrm df}{\mathrm d\theta}=\dfrac ba\csc^2\theta

and so the second derivative is

\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\frac ba\csc^2\theta}{-a\sin\theta}=-\dfrac b{a^2}\csc^3\theta

4 0
3 years ago
A city built a new subway system in 2001. This graph shows the daily number of mass transit trips and the daily number of car tr
adelina 88 [10]

Answer:

C.

Step-by-step explanation:

This is the correct answer, because ever since the transit system was made, car rides went down and down.

8 0
3 years ago
If I earn $24 for every four hours How many dollars do I get for 1 hour
nikitadnepr [17]

Answer:

6

Step-by-step explanation:

24/4=6

3 0
2 years ago
Read 2 more answers
Hey can you please help me posted picture of question
Sidana [21]
Number of outcomes when flipping a coin = 2
Favorable outcome is landing on head.
So,number of favorable outcomes = 1

Probability of getting a head when flipping a coin = \frac{1}{2}

Number of outcomes when rolling a dice = 6
Favorable outcomes are rolling 4,5 or 6.
So,number of favorable outcomes = 3

Probability of getting 4 or a bigger number when rolling a dice = \frac{3}{6}= \frac{1}{2}

Thus the probability of getting a head when flipping a coin and getting a number equal to or greater than 4 when a dice is rolled = \frac{1}{2}* \frac{1}{2} = \frac{1}{4}

So, option A gives the correct answer
6 0
3 years ago
Read 2 more answers
PLEASE HELP<br><br> I will mark brainliest
Schach [20]
The answer is 12%

Here’s how:
4.44 divided by 37 equals .12
1.8 divided by 15 equals .12
3.12 divided by 26 equals .12
3.60 divided by 30 equals .12
2.16 divided by 18 equals .12
5 0
2 years ago
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