. a thin plate made of iron is located in the xy-plane. the temperature t in degrees celsius at a point p(x,y) is inversely prop
1 answer:
The level of the curves are all the eclipses with the major axis.
100 50 1
a2 = ------ - 1 , b2 = ------- - -----
C C 2
Given that:
100
T(x, y) = ------------
1 + x2 + y2
This implies that the level curves of a function(f) of two variables relate to the curves with equation f(x, y) = c
where c is the constant.
100
C = ------------ ----- (1)
1 + x2 + y2
By cross multiply
C (1 + x2 + y2) = 100
1 + x2 + y2 = 100/C
100
x2 + y2= --------- - 1 -----(2)
C
From (2); let's assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.
Now,
(x)2 (y)2
------ + ---------------
100 50 1
------ - 1 ------- - -----
C C 2
This is the equation for the family of the eclipses centered at (0,0) is :
x2/a2 + y2/b2 = 1
100 50 1
a2 = ------ - 1 b2 = ------- - -----
C C 2
Therefore; the level of the curves are all the eclipses with the major axis:
100 50 1
a2 = ------ - 1 b2 = ------- - -----
C C 2
and a minor axis which satisfies the values for which 0< c < 100.
The sketch of the level curves can be see in the attached image below.
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Answer:
{5π/6, 11π/6}
Step-by-step explanation:
Since you have memorized the trig values of common angles, you know tan(π/6) = 1/√3, so cot(π/6) = √3.
The solution to this equation is ...
cot(θ) = -√3
so θ = -π/6 or, in the domain of interest, 11π/6. There is a corresponding quadrant II angle, 5π/6.
<h2>Hello!</h2>
The answer is:
The correct option is the first option:
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:
Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:
Which is for this case:
As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:
We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at:
Then, now that we already know the value of "m" and "b", we can write the equation of the line:
So, the correct option is the first option:
Have a nice day!