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baherus [9]
3 years ago
8

SOMEONE PLEASE HELP ILL GIVE BRAINLIEST

Mathematics
1 answer:
Volgvan3 years ago
3 0

Answer:

A.

Step-by-step explanation:

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A thin metal plate, located in the xy-plane, has temperature T(x, y) at the point (x, y). Sketch some level curves (isothermals)
Sophie [7]

Answer:

Step-by-step explanation:

Given that:

T(x,y) = \dfrac{100}{1+x^2+y^2}

This implies that the level curves of a function(f) of two variables relates with the curves with equation f(x,y) = c

here c is the constant.

c = \dfrac{100}{1+x^2+2y^2} \ \ \--- (1)

By cross multiply

c({1+x^2+2y^2}) = 100

1+x^2+2y^2 = \dfrac{100}{c}

x^2+2y^2 = \dfrac{100}{c} - 1 \ \  -- (2)

From (2); let assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.

Now,

\dfrac{(x)^2}{\dfrac{100}{c}-1 } + \dfrac{(y)^2}{\dfrac{50}{c}-\dfrac{1}{2} }=1

This is the equation for the  family of the eclipses centred at (0,0) is :

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

a^2 = \dfrac{100}{c} -1  \ \ and \ \ b^2 = \dfrac{50}{c}- \dfrac{1}{2}

Therefore; the level of the curves are all the eclipses with the major axis:

a =  \sqrt{\dfrac{100 }{c}-1}  and a minor axis b =  \sqrt{\dfrac{50 }{c}-\dfrac{1}{2}}  which satisfies the values for which 0< c < 100.

The sketch of the level curves can be see in the attached image below.

7 0
4 years ago
True or false, the following expressions are equivalent:
drek231 [11]

Answer:False

Step-by-step explanation:

3 0
3 years ago
What is 946 divided by 11?
timama [110]
Answer: 946 ∻ 11 = 86


3 0
3 years ago
Please please 1,2,3 please help!!
zhannawk [14.2K]
Look online and find the answers to the workbook that's what I did and I never failed workbook things
6 0
3 years ago
The Federal Reserve has set a 10% reserve ratio on all deposits.
ella [17]

Answer: $ 81,000

Step-by-step explanation:

After ACC Spellman Company deposits its $ 100,000 into Itsa Bank, Itsa will have $ 90,000 as maximum allowable amount to loan to company B Bugle since it has to reserve 10% of the $ 100,000 or $ 10,000.

When That There Bank receives the $ 90,000, it can  loan out $ 81,000 as a maximum amount and reserve $ 9000 ( 10% of 90,000) .

5 0
3 years ago
Read 2 more answers
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