As the word suggests, a quarter-sphere is a quarter of a sphere, and thus the volume of a quarter-sphere is a quarter of the volume of the sphere.
The volume of a sphere is computed as
So, the volume of a quarter-sphere is
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Answer:
It is proved that A is idempotent if and only if is idempotent.
Step-by-step explanation:
Case-1 : First assume that A is idempotent that is, . We have to show by using this
. So,
Thus is idempotent.
Case-2 :
Conversly, assuming is idempotent, thet is,
. We have to show
. So,
Thus A is idempotent. Hence proved.
Hello,
gravity on earth :g=9.81 m/s²
9.81/2≈4.9
Answer 1
2)
h(t)=-4.9*t²+20*t+10
To hit the ground ht(t)=0
==> -4.9*t²+20*t+10=0
Δ=20²+4*4*10=560=23,6643...²
t=(-20-4√35)/(-4.9*2)=4,4555...(s)
t=(-20+4√35)/(-2*4.9)=-0,37391... to exclude (time must be >0)
gravity on earth :g=9.81 m/s²
9.81/2≈4.9
Answer 1
2)
h(t)=-4.9*t²+20*t+10
To hit the ground ht(t)=0
==> -4.9*t²+20*t+10=0
Δ=20²+4*4*10=560=23,6643...²
t=(-20-4√35)/(-4.9*2)=4,4555...(s)
t=(-20+4√35)/(-2*4.9)=-0,37391... to exclude (time must be >0)