Which survey is biased?

Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer

lyudmila [28]

If

$f(\theta)=10\cos\theta+5\sin^2\theta$

then the derivative is

$f'(\theta)=-10\sin\theta+10\sin\theta\cos\theta$

Critical points occur where $f'(\theta)=0$ . This happens for

$-10\sin\theta+10\sin\theta\cos\theta=0$

$-10\sin\theta(1-\cos\theta)=0$

$\implies-10\sin\theta=0\text{ or }1-\cos\theta=0$

In the first case, we find

$-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi$

In the second,

$1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi$

So all the critical points occur at multiples of $\pi$ , or $n\pi$ . (This includes all the even multiples of $\pi$ .)

3 0

3 years ago

PICTURE PLEASE HELP.

aksik [14]

By pythagorean theorem

a^2+b^2=c^2

We can find that PL is 12.65

and then by altitude theorem

MA*LA=PA^2

we can find the value of MA

12MA=16

MA=1.33

then by the pythagorean theorem

we can use to find PM

MA^2+PA^2=PM^2

so PM=4.22

then to find the are you multiply length by width

PM*PL

12.65*4.22

So the area is 53.38

8 0

3 years ago

There are 56 trees in an apple orchard. They are arranged in equal rows. There are 8 trees in each row. How many rows of apple t

Amiraneli [1.4K]

56 ÷8=7

Hope it helped

8 0

3 years ago

Read 2 more answers

how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution

Irina-Kira [14]

Answer:

200 kg

Step-by-step explanation:

If w is the amount of water added, then the concentration of the solution is ...

salt/solute = 100(0.30)/(100 +w) = 0.10

30 = 10 +0.10w . . . . . simplify

20 = 0.10w . . . . . . . . subtract 10

20/0.10 = w = 200 . . . . divide by 0.10

200 kg of water must be added to dilute the solution to 10%.

4 0

3 years ago

This is the example my teacher used. However, I still don't understand what makes the integers even or odd. I was hoping someone

kow [346]

Answer:

<h2>Here's what makes an integer odd:</h2>

It is NOT a multiple of 2.

When divided by 2, the quotient would be a decimal or have a remainder or fraction.

<h2>Here's what makes an integer even:</h2>

It is a multiple of 2.

When divided by 2, the quotient has a whole number.

<em>The odd numbers from one to 10 are: 1, 3, 5, 7, 9.</em>

<em>The even numbers from one to 10 are: 2, 4, 6, 8, 10. </em>

With big numbers, if it ends with any of the odd numbers from one to ten, listed above, it would be odd. This goes for the same with even.

An odd number and even number has a pattern....

[odd, even, odd, even, odd...] [1, 2, 3, 4, 5]

So, if x was an odd number, adding it by 2, 4, 6, etc. will result in another odd number.

Here's an example:

$x= 17\\x + 2 = ?\\(17) + 2 = 19$

<em>See how x is an odd number and the sum of the number and two makes another odd number? </em>

The same can go with an even number:

$x=2\\x + 6 = ?\\(2) + 6= 8$

<em>See how x is an even number and the sum of the number and six makes another even number? </em>

I hope my answer helps you understand even and odd numbers.

6 0

3 years ago