Answer:
Please see attached picture
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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.
Answer:
C
Step-by-step explanation:
Let f(y)=x.
Answer:
8 + 3x
Step-by-step explanation:
A product is a multiplication, such as 3 * 5, 2x, 4y.
3x is a product.
8 + 3x is the sum of the number 8 and the product 3x.
Answer: 8 + 3x
Basically, all you have to do is count how many 6 's you have and then write 6^4. Which is 6 to the fourth power.
