A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular fa
ces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn? Enter your answer in the box.
1 answer:
Answer:
23 gallons
Step-by-step explanation:
<u><em>Given:</em></u>
A barn is shaped like a rectangular prism with a triangular prism on top as shown.
The exterior four walls and two triangular faces need to be repainted.
<u><em>To Find:</em></u>
If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn?
<u><em>Solve:</em></u>
<u><em></em></u>
=
Hence 23 gallons to repaint the barn
<u><em>~lenvy~</em></u>
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The average speed
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Time=30mins
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Answer:
- (-1, -32) absolute minimum
- (0, 0) relative maximum
- (2, -32) absolute minimum
- (+∞, +∞) absolute maximum (or "no absolute maximum")
Step-by-step explanation:
There will be extremes at the ends of the domain interval, and at turning points where the first derivative is zero.
The derivative is ...
h'(t) = 24t^2 -48t = 24t(t -2)
This has zeros at t=0 and t=2, so that is where extremes will be located.
We can determine relative and absolute extrema by evaluating the function at the interval ends and at the turning points.
h(-1) = 8(-1)²(-1-3) = -32
h(0) = 8(0)(0-3) = 0
h(2) = 8(2²)(2 -3) = -32
h(∞) = 8(∞)³ = ∞
The absolute minimum is -32, found at t=-1 and at t=2. The absolute maximum is ∞, found at t→∞. The relative maximum is 0, found at t=0.
The extrema are ...
- (-1, -32) absolute minimum
- (0, 0) relative maximum
- (2, -32) absolute minimum
- (+∞, +∞) absolute maximum
_____
Normally, we would not list (∞, ∞) as being an absolute maximum, because it is not a specific value at a specific point. Rather, we might say there is no absolute maximum.
