3 years ago

I need help with both of these

Mathematics

1 answer:

harina [27]3 years ago

8 0

Answer:

10) is the last one

11)the first one

Step-by-step explanation:

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

lyudmila [28]

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

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

A committee of four students is being randomly selected from a group of twenty students. How many combinations of four students

Cloud [144]

Answer:

4,845

Step-by-step explanation:

Hope this helps:)

7 0

3 years ago

What is the solution for x^2 +14x +15

ololo11 [35]

...................................

7 0

3 years ago

Read 2 more answers

True or false all points in quadrant 2 has a negative (x) value

ladessa [460]

Answer:

False, quadrant two has both negative and positive values.

Hope I helped. Good luck on the assignment!

Step-by-step explanation:

4 0

4 years ago

For a ride on a rental scooter, Deon paid an $8 fee to start the scooter plus 6 cents per minute of the ride. The total bill for

faltersainse [42]

Answer:

66 minutes

Step-by-step explanation:

11.96 - 8 =3.96

Every 10 minutes Deon pays 60 cents because 6 times 10 = 60 and every 6 minutes Deon is paying 36 cents

10 min = 60 cents

20 min = $1.20

40 min = $2.40

50 min = $3.00

60 min = $3.60

6 min = 36 cents

Then you do 3.60 + 36 which equals $3.96

How to figure how the minutes is just 60 + 6 = 66 minutes

7 0

2 years ago