9514 1404 393
Answer:
a = 36
Step-by-step explanation:
A stationary point is where the function derivative is zero. Here, we have ...
y' = 2kx -16/x^2 = 0
For x = 2/3, this is ...
4/3k -16/(4/9) = 0
4/3k = 36
k = 27
Then the value of y at that point is ...
y = 27(2/3)^2 + 16/(2/3) = 12 +24 = 36
The stationary point of interest is (2/3, a) = (2/3, 36). a = 36.
Range = highest value - lowest = 35 - 12 = 23
2/9 * 36 = 2*4 = 8
A beach ball is a sphere, so we will need to know how to find the volume of a sphere.
V=4π(r³/3)
We have the diameter, but not the radius. To find the radius, it is half of the diameter.
10÷2=5
Now let's plug it in.
4π(5³/3)
Let's solve.
4π= 12.56
5³= 125
125÷3= 41.67 (repeating 6)
41.67×12.56= 523.3752
523.33 cubic inches is the volume of air contained inside the beach ball. The reason I picked that answer is because we rounded up to 41.67, when there was a repeating 6. So we should expect for the answer to be a couple decimals lower from the answer we got.
Tell me if this helps!!
Answer:
69
Step-by-step explanation:
