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3 years ago

Studying mathematics in the night is better than the morning study and why?

1 answer:

6 0

Honestly, I believe you should study while you're still up (if it's not too late). Your brain isn't really awake that early in the morning and you might not even remember anything. If you have have a test later in the day, study through out your classes and lunch and you should be fine. Another tip is to go with you gut instinct. Don't second guess yourself because that can mess you up.

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Find the surface area of x^2+y^2+z^2=9 that lies above the cone z= sqrt(x^@+y^2)

Mashcka [7]

The cone equation gives

$z=\sqrt{x^2+y^2}\implies z^2=x^2+y^2$

which means that the intersection of the cone and sphere occurs at

$x^2+y^2+(x^2+y^2)=9\implies x^2+y^2=\dfrac92$

i.e. along the vertical cylinder of radius $\dfrac3{\sqrt2}$ when $z=\dfrac3{\sqrt2}$ .

We can parameterize the spherical cap in spherical coordinates by

$\mathbf r(\theta,\varphi)=\langle3\cos\theta\sin\varphi,3\sin\theta\sin\varphi,3\cos\varphi\right\rangle$

where $0\le\theta\le2\pi$ and $0\le\varphi\le\dfrac\pi4$ , which follows from the fact that the radius of the sphere is 3 and the height at which the sphere and cone intersect is $\dfrac3{\sqrt2}$ . So the angle between the vertical line through the origin and any line through the origin normal to the sphere along the cone's surface is

$\varphi=\cos^{-1}\left(\dfrac{\frac3{\sqrt2}}3\right)=\cos^{-1}\left(\dfrac1{\sqrt2}\right)=\dfrac\pi4$

Now the surface area of the cap is given by the surface integral,

$\displaystyle\iint_{\text{cap}}\mathrm dS=\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/4}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm dv\,\mathrm du$
$=\displaystyle\int_{u=0}^{u=2\pi}\int_{\varphi=0}^{\varphi=\pi/4}9\sin v\,\mathrm dv\,\mathrm du$
$=-18\pi\cos v\bigg|_{v=0}^{v=\pi/4}$
$=18\pi\left(1-\dfrac1{\sqrt2}\right)$
$=9(2-\sqrt2)\pi$

3 0

3 years ago

Please help fast i will give you the most Brainly <br><br><br> what would n = 3(n+7)=48

neonofarm [45]

Answer:

n = 9

Step-by-step explanation:

3(n+7)=48

distribute

3n +21 = 48

subtract 21 from each side

3n = 48-21

3n = 27

divide by 3

3n/3 = 27/3

n = 9

5 0

3 years ago

To build 12 birdhouses, Felipe needs 5 1/4 meters of wood. He was asked to make 4 1/2 times the number of birdhouses he usually

Dimas [21]

Using proportions, it is found that Felipe needs 23.625 meters of wood to make that many birdhouses.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

To make an amount, he needs 5 1/4 meters = 5.25 meters. How many meters he needs to make 4 1/2 = 4.5 times the amount?

5.25 x 4.5 = 23.625 meters.

Felipe needs 23.625 meters of wood to make that many birdhouses.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0

1 year ago

A study found that soda sales increase in stores located in neighborhoods that have banned soda sales in schools which best

Nat2105 [25]

Answer:

Step-by-step explanation:

No attempt is made to influence anything - just ask questions and record the responses. By definition, An observational study measures the characteristics of a population by studying individuals in a sample, but does not attempt to manipulate or influence the variables of interest.

7 0

2 years ago

If AB vector =(4 5) and PQ vector=(2p 10) are parallel to each other, find the value of p.

Sedaia [141]

Answer:

Answer:

They both have q+3/2p, so that means that 2PQ=CB and that means they are parallel to each other

Step-by-step explanation:

PQ=PA+QA

PQ=1/2(2q-p)+2/5*5p=q-1/2p+2p=q+3/2p

CB=2q+3p=2(q+3/2p)

Other explanation: It should be written like this PQ=q+3/2p and CB=2q+3p=2(q+3/2p) they are parallel bcs CB=2*PQ.

8 0

3 years ago