Suppose somebody writes down an equation for a 5th-degree polynomial function in standard form and tells you that it has only on
e real zero (but not where it is). They tell you that you are allowed to ask any two questions about the polynomial, and once those two questions have been answered, you should try to graph the polynomial.
What two questions would you ask, and why?
In your answer, state what your two questions would be, and describe how you would use the information given to graph the function. You may want to make up an example of your own to show how the information you ask for would be useful to you. You might also want to consider whether there are any cases in which your strategy would fail.
What two questions would you ask, and why?
In your answer, state what your two questions would be, and describe how you would use the information given to graph the function. You may want to make up an example of your own to show how the information you ask for would be useful to you. You might also want to consider whether there are any cases in which your strategy would fail.
1 answer:
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Answer:
Exercise (a)
The work done in pulling the rope to the top of the building is 750 lb·ft
Exercise (b)
The work done in pulling half the rope to the top of the building is 562.5 lb·ft
Step-by-step explanation:
Exercise (a)
The given parameters of the rope are;
The length of the rope = 50 ft.
The weight of the rope = 0.6 lb/ft.
The height of the building = 120 ft.
We have;
The work done in pulling a piece of the upper portion, ΔW₁ is given as follows;
ΔW₁ = 0.6Δx·x
The work done for the second half, ΔW₂, is given as follows;
ΔW₂ = 0.6Δx·x + 25×0.6 × 25 = 0.6Δx·x + 375
The total work done, W = W₁ + W₂ = 0.6Δx·x + 0.6Δx·x + 375
∴ We have;
W =
The work done in pulling the rope to the top of the building, W = 750 lb·ft
Exercise (b)
The work done in pulling half the rope is given by W₂ as follows;
The work done in pulling half the rope, W₂ = 562.5 lb·ft