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2 years ago

Find the critical numbers sin^2x+cosx 0 < x< 2pi

1 answer:

5 0

$\bf sin^2(x)+cos(x)\iff [sin(x)]^2+cos(x)\\\\
-----------------------------\\\\
\cfrac{dy}{dx}=2sin(x)cos(x)-sin(x)\implies 0=2sin(x)cos(x)-sin(x)
\\\\\\
0=sin(x)[2cos(x)-1]\implies 
\begin{cases}
0=sin(x)\\
sin^{-1}(0)=\measuredangle x\\
\pi \\
----------\\
0=2cos(x)-1\\\\ \frac{1}{2}=cos(x)\\\\ cos^{-1}\left( \frac{1}{2} \right)=\measuredangle x\\\\ \frac{\pi }{3},\frac{5\pi }{3}
\end{cases}$

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PolarNik [594]

The statement makes sense because litters per second is a unit of speed

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3 years ago

There is an ice cream and candy shop next-door that is the same size as your bakery. How many 30th of the space does it take up

Solnce55 [7]

Well, this is basically perimeter and Area. So, if there next door, your going to want to find out 50% of the ice cream shop and candy shop. 40% of it is next to each other . So 40 x 2= 80, there’s the answer . Hope this helps!!!

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2 years ago

Consider a particle moving around a circle with a radius of 38cm. It rotates from 10 degrees to 100 degrees in 11 seconds. Calcu

kifflom [539]

Step-by-step explanation:

Given that,

Radius of circle, r = 38 cm = 0.38 m

It rotates form 10 degrees to 100 degrees in 11 seconds i.e.

$\theta_i=10^{\circ}=0.174\ rad$

$\theta_f=100^{\circ}=1.74\ rad$

Let $\omega$ is the angular velocity of the particle such that, $\omega=\dfrac{\omega_f-\omega_i}{t}$

$\omega=\dfrac{1.74-0.174}{11}$

$\omega=0.142\ rad/s$

We need to find the instantaneous velocity of the particle. The relation between the angular velocity and the linear velocity is given by :

$v=r\times \omega$

$v=0.38\times 0.142$

v = 0.053 m/s

So, the instantaneous velocity of the particle is 0.053 m/s. Hence, this is the required solution.

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2 years ago

What is 0.6144 divided by 1.6

Nadusha1986 [10]

0.384 is the correct answer :3

8 0

2 years ago

Read 2 more answers

A company makes 140 bags. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have

sleet_krkn [62]

Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of bags that zips on them is 78.

<h3>What is subtraction?</h3>

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the number of bags that the company makes is 140. 39 of the bags have buttons but no zips. 21 of the bags have zips but no buttons. 23 of the bags have neither zips nor buttons.

Bags that have both zip and button

= Total number of bags - Number of bags with zips but no buttons - Number of bags with buttons but no zips - Number of bags with nor zips nor the buttons

= 140 - 21 - 39 - 23

= 57

Now, the number of bags that has zips will be the bags that only have zips and the number of bags that has zips and buttons. Therefore, the number of bags with zips is,

n = Bags that have both zip and button + Number of bags with zips but no buttons

= 37 + 21

= 78

Hence, the number of bags that zips on them is 78.

Learn more about Subtraction:

brainly.com/question/1927340

#SPJ1

4 0

1 year ago

Read 2 more answers