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3 years ago

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 y with respect to x, 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:

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:

Step-by-step explanation:

24/4=6

3 0

3 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 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