Answer:
Step-by-step explanation:
When solving for 1 variable, set the other to 0 and solve.
we have given that 
.
we need to express this interms of power of x .
we know that 
.
in place of n we have 2 .so 
.
so this will be the expression interms of power of x .
Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
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Work Shown:
Given info
dS/dt = 18 cm^2/min is the rate of change of the surface area
r = 6 cm is the radius, from the fact that the diameter is 12 cm
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Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius
S = 4*pi*r^2
dS/dt = 2*4*pi*r*dr/dt
dS/dt = 8*pi*r*dr/dt
18 = 8*pi*6*dr/dt
18 = 48*pi*dr/dt
48pi*dr/dt = 18
dr/dt = 18/(48pi)
dr/dt = (9*2)/(24*2pi)
dr/dt = 9/(24pi)
The units are cm per minute, which can be written as cm/min.
784/4 = 196
196 * 4 = 784
4 * 196 = 784
So the answer is : 196
The number of ways of picking up a red cube out of 12 cubes are 5/12. Number of ways of picking up a second red cube is 4/11.
<span>Thus probability of picking up 2 red cubes = 5/12 * 4/11 = 20/121.
20 / 121 = .165 or .17
So the probability of Celinda getting two red cubes is .17.</span>
