Answer:
1/2, 1/3, 1/4, 1/5, 1/6
Step-by-step explanation:
Answer:
2160 cm³/hour
Step-by-step explanation:
By default, we know that the volume of a cube is given as s³
Thus, the Volume function, V = s³
When we differentiate with respect to time we have
dV/dt = 3s² (ds/dt), where ds/dt = 0.2
Then we go ahead and substitute all the given parameters
dV/dt = 3 x 60 x 60 x 0.2
dV/dt = 10800 * 0.2
dV/dt = 2160 cm³/hour
This means that the volume decreases by a rate of 2160 cm³/hour at the instant its edge is 60 cm
Answer is B.
8^1/3 = (2^3)^1/3 = 2
Answer:
Maximum is 4
Step-by-step explanation:
M(x) is quadratic function, so we need to fin maximum.
m(x)=-x(x-4)
m(x)=-x^2+4x
To find a maximum we need to find m’
M’(x)=-2x+4
M’(x)=0 if x=2
The maximum is in the point x=2
M(2)=-2(2-4)=4
