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dexar [7]
3 years ago
6

I need to know what the answer is

Mathematics
1 answer:
Leto [7]3 years ago
6 0
The answer is: b^2/5a^3
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Need help urgently extra points and mark brainlist sorry this is not math it’s reading and is very easy
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3 years ago
The equipment operates 5 days a week for 12 hours each day according to last weeks production numbers shown in the table how man
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Answer:

cawnser is 60

Step-by-step explanation:

because 5 times 12 is 60 hours

8 0
3 years ago
Find the maximum and minimum values attained by f(x, y, z) = 5xyz on the unit ball x2 + y2 + z2 ≤ 1.
Allushta [10]
Check for critical points within the unit ball by solving for when the first-order partial derivatives vanish:
f_x=5yz=0\implies y=0\text{ or }z=0
f_y=5xz=0\implies x=0\text{ or }z=0
f_z=5xy=0\implies x=0\text{ or }y=0


Taken together, we find that (0, 0, 0) appears to be the only critical point on f within the ball. At this point, we have f(0,0,0)=0.

Now let's use the method of Lagrange multipliers to look for critical points on the boundary. We have the Lagrangian

L(x,y,z,\lambda)=5xyz+\lambda(x^2+y^2+z^2-1)

with partial derivatives (set to 0)

L_x=5yz+2\lambda x=0
L_y=5xz+2\lambda y=0
L_z=5xy+2\lambda z=0
L_\lambda=x^2+y^2+z^2-1=0

We then observe that

xL_x+yL_y+zL_z=0\implies15xyz+2\lambda=0\implies\lambda=-\dfrac{15xyz}2

So, ignoring the critical point we've already found at (0, 0, 0),


5yz+2\left(-\dfrac{15xyz}2\right)x=0\implies5yz(1-3x^2)=0\implies x=\pm\dfrac1{\sqrt3}
5xz+2\left(-\dfrac{15xyz}2\right)y=0\implies5xz(1-3y^2)=0\implies y=\pm\dfrac1{\sqrt3}
5xy+2\left(-\dfrac{15xyz}2\right)z=0\implies5xy(1-3z^2)=0\implies z=\pm\dfrac1{\sqrt3}

So ultimately, we have 9 critical points - 1 at the origin (0, 0, 0), and 8 at the various combinations of \left(\pm\dfrac1{\sqrt3},\pm\dfrac1{\sqrt3},\pm\dfrac1{\sqrt3}\right), at which points we get a value of either of \pm\dfrac5{\sqrt3}, with the maximum being the positive value and the minimum being the negative one.
5 0
3 years ago
23 20' 48" is the same as _____. Round to the nearest hundredth of a degree.
boyakko [2]
So this is read as 23 degrees, 20 minutes, and 48 seconds.  Each degree has 60 minutes and each minute has 60 seconds, somewhat like time.  You must start from right to left for this to work.  This may seem complicated but the way to find this is as follows:  
23+(20+(48/60))/60.  A simpler way to see this is by first taking 48/60 which is .8.  Now you take 20+.8 which is 20.8 and you divide it by 60 once more.  This comes out to be approximately .35.  Now you have converted the seconds and minutes to degrees so you add 23+.35 which is 23.35.  Therefore your answer is 23.35 degrees.  
8 0
3 years ago
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