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3 years ago

Plss help me with this do not add any links or they will be reported and plss do not answer just for the points thank you!!!!!!

Mathematics

2 answers:

katrin2010 [14]3 years ago

8 0

The image isn’t showing for me

Sonbull [250]3 years ago

4 0

Answer:

x=-4/3+y/3. y=-11/4+3x/4

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Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

4 0

3 years ago

185% as a fraction in simplest form

Reika [66]

185% = 185/100

185/100 = 37/20

The simplest form fraction of 185% is 37/20.

8 0

3 years ago

HELP! Find volume of cylinder in terms of pi

AysviL [449]

Volume in terms of pi =V=πr2h

8 0

3 years ago

Help 1-8 I need answers and show work!!!

agasfer [191]

Answer:

hope this helps you out good luck

6 0

3 years ago

Suppose a certain character in a role-playing game has an ability to use in battles. When activated, the ability deals damage to

Helen [10]

Answer:

The chance of getting exactly 3 hits is = 0.20

Step-by-step explanation:

P.S - The exact question is -

As given,

F(x) = 0 , x < 1

0.30 , 1 ≤ x < 2

0.56 , 2 ≤ x < 3

0.76 , 3 ≤ x < 4

0.9 , 4 ≤ x < 5

1 , 5 ≤ x

Now,

f(x) = 0.30 , x = 1

0.56 - 0.30 = 0.26 , x = 2

0.76 - 0.56 = 0.20 , x=3

0.9 - 0.76 = 0.14 , x = 4

1 - 0.9 = 0.1 , x = 5

0, otherwise

Now,

The chance of getting exactly 3 hits is = f(x = 3) = 0.20

8 0

3 years ago