Cone is radius of 9 inches and 6 inches height what is the exact volume of the cone

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

If you remove the last digit (one’s place) from a 4-digit whole number, the resulting number is a factor of the 4-digit number.

shutvik [7]

Answer:

900

Step-by-step explanation:

We assume that your 4-digit number must be in the range 1000 to 9999. Clearly, any number ending in zero will meet your requirement:

1000/100 = 10

3890/389 = 10

However, the requirement cannot be met when the 1s digit is other than zero.

__

For some 3-digit number N and some 1s digit x, the 4-digit number will be

4-digit number: 10N+x

Dividing this by N will give ...

(10N+x)/N = 10 remainder x

N will only be a factor of 10N+x when x=0.

So, there are 900 4-digit numbers that meet your requirement. They range from 1000 to 9990.

6 0

3 years ago

This is hard lets see if you well be able to do it

erica [24]

Answer:

I did the math the answer is 90

Step-by-step explanation:

if you multiply 15 by 6 you get 90

8 0

2 years ago

Notice that the original recipe calls for 1/4 cup of water. If you put in 3/8 cup of water, by how much have you multiplied the

nika2105 [10]

Answer:

multiply by 12 and would serve 18 people

Step-by-step explanation:

I did a test for it

6 0

3 years ago

Write an expression to convert kilogram to grams. Let K stand for kilograms.

Kay [80]

Answer:

g = 1000K

Formula: Multiply the amount of kilograms with 1000 to convert it into grams

Step-by-step explanation:

Kilo stands for 10³ or 1000. So, a kilogram means one thousand grams. This means that if you ever want to get back to grams from kilograms, all you need to do is multiply the number of kilograms by 1,000.

Number of grams = Number of kilograms x 1000

g = 1000K

7 0

2 years ago

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