1 The perimeter of a square is 40 yards. What is its area?
1 answer:
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Perhaps you mean to find the volume under 
? It seems like you have to rely on calculus otherwise (in the case that you indeed mean 
).
Assuming this, note that describes the top half of a sphere with radius 8, which means the volume below this surface over the disk 
is simply half the volume of the sphere. Thus the volume is
Assuming this, note that
Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:
Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is: