Answer:
192 cm^3/min
Step-by-step explanation:
Differentiating the volume expression, we get ...
dV/dt = 2xh(dx/dt) +x^2(dh/dt)
We are given that ...
x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min
Putting these values into the formula for volume rate of change, we get ...
dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)
= 240 cm^3/min -48 cm^3/min
dV/dt = 192 cm^3/min
Answer:
x > -3.2
Step-by-step explanation:
Hey there great to see ya again,
Greatest common factor should be in the blank i believe
I Hope this Helps ☺
Answer:
1. 10/21
2. 11/21
Step-by-step explanation:
Answer:
0 is not an element of an empty set.
Step-by-step explanation:
We are asked to determine whether 0 is not an element of an empty set.
We know that an empty set is an unique set having no elements. The cardinality of an empty set is 0.
Cardinality stands for the count of element is an set. An empty set is denoted by symbols ∅ or { }.
The empty set is like an empty container. The container is there, but nothing is in it.
When 0 is an element of a set, then its cardinality would be 1.
Therefore, 0 is not an element of an empty set.
