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The yield V (in pounds per acre) for an orchard at age t (in years) is modeled by the function below.
V = 7955.9e-0.0452/t
At what rate is the yield changing at each of the following times? (Round your answers to two decimal places.)
(a) t = 5 years ______________pounds per acre per year
(b) t = 10 years______________pounds per acre per year
(c) t = 25 years______________pounds per acre per year
Identify the hypothesis and conclusion in the following statements. Then, find a counter example showing that the statement is false.
How many terms are needed when the inclusion- exclusion principle is used to express the number of elements in the union of seven sets.
Let U, V ⊂ W be subspaces of a finite dimensional vector space W . Define U + V = {w ∈ W | w = u + v, u ∈ U, v ∈ V }. (a) Prove that dim(U + V ) ≤ dim U + dim V .
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Meg rowed her boat upstream a distance of 45 mi and then rowed back to the the starting point. The total time of the trip was 18 hours. If the rate of the current was 6 mph, find the average speed of the boat relative to the water.
show that the given relations are contradictions.show that the following are contradictions a p lambda q lambda p nu q
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In theory, drugs that decay exponentially always leave a residue in the body. However, in practice, once the drug has been in the body for 5 half-lives.
Generalize Theorem slightly: prove that every simple, planar, connected graph G has at least three vertices of degree no more than 5.
Please explain to the students the importance of the planning and budgeting process.
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