Pls help me I really need help with this??!???
1 answer:
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Answer:
The range of the graph is all real numbers greater than or equal to 0.
Step-by-step explanation:
we have
using a graphing tool
The graph in the attached figure
step 1
Find the domain
we know that the radicand of the function must be greater than or equal to zero
so
The domain is the interval ------> [0,∞)
All real numbers greater than or equal to zero
step 2
Find the range
The range is the interval -----> [0,∞)
All real numbers greater than or equal to zero
Answer:
The answer is below
Step-by-step explanation:
The volume of the cylinder with radius (r) and height (h) is given as:
Volume = πr²h
17 = πr²h
h = 17 / πr²
Let k represent the cost of the side and 2k the cost of the bottom.
The area of the side = 2πrh, hence the cost of the side = k(2πrh)
The area of the top and bottom = 2πr², hence the cost of the top and bottom = 2k(2πr²)
The total cost (T) = cost of side + cost of the top and bottom
T = k(2πrh) + 2k(2πr²)
T = 2kπ(rh + 2r²)
Put h = 17/πr²
T = 2kπ (r×17/πr² + 2r²)
T = 2kπ(17/πr + 2r²)
The minimal cost is at dT/dr = 0