(a) Find the height of the ball (in feet) above the ground 2 s after its released.
That's just h(2)
h(2) = -16(2²) + 80(2) + 4 = -64 + 160 + 4 = 100
Answer: 100 feet
(b) Find the height of the ball (in feet) above the ground 4 s after its released.
That's just h(4)
h(4) = -16(4²) + 80(4) + 4 = -256 + 320 + 4 = 68
Answer: 68 feet
means to say that for any given 
, we can find 
such that anytime 
(i.e. the whenever 
is "close enough" to 5), we can guarantee that 
(i.e. the value of 
is "close enough" to the limit value).
What we want to end up with is
Dividing both sides by 3 gives
which suggests 
is a sufficient threshold.
The proof itself is essentially the reverse of this analysis: Let be given. Then if
and so the limit is 7. QED
Answer: 1304.7
Step-by-step explanation: just took test
⓵ To calculate the volume of a right circular cylinder, the formula is π times the radius of the circular base² time the height of the cylinder.
⓶ Now that we know that the equation to calculate the volume of a right circular cylinder is :
V = π x (r²) x h
You need to find the numbers to replace the volume (V) and the height (h) in the formula.
We already know that the volume is 320 square feet and that the height is 20 feet.
So we are left with a formula looking like this :
320 = π x (r²) x 20
⓷ Now we need to find the radius of the circular base! To do so, you need to solve this equation and isolate the “r”. Start by simplifying the right side :
320 = π x (r²) x 20
÷20 ÷20
↓
16 = π x r²
÷π ÷π
↓
5,09 ⋍ r²
√ √
↓
2,26 feet ⋍ r
⓸ Now that we knoe the value of the radius of the circular base, all there’s left to do is multiply this number by two in order to find the diameter of the water tank :
2,26 x 2 = d
↓
4,51 feet ⋍ d
So your final answer is : the diameter of the water tank is about 4,51 feet.
** Since I devided by “π”, all the answers I wrote from that point are rounded to the nearest hundredths just to make things easier to visualize, but I kept all of the decimals when doing the calculations. So it is possible that your answer might differ slightly from mine if you use the rounded numbers to calculate everything. Just keep that in mind!
I hope this helped, if there’s anything just let me know! ☻
Answer:
30 m
Step-by-step explanation:
You simply add the lengths of all the sides. 3 m is not needed for this.
