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.
Lets Sean's age be x
Helen's age by y
x/y=3/5
x=3/5y
Second equation
2(x-2)=y-2
on solving u get Helen as 10 and Sean as 6
Answer:
the slope intersection is xy
<span>20 + 30 × 1
= </span><span>20 + 30
= 50</span>
Answer:
a: f=
24y−17
/3y−1
b: x=−23
Step-by-step explanation:
