Prove A (bar on top of A)= collection of all adherence pts of A where A...

Prove A (bar on top of A)= collection of all adherence pts of A where A <=X and (X,d) is a metric space

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Colby Messinger answered 1 year ago

1)Prove that the intersection of an arbitrary collection of closed sets is closed. 2)Prove that the...

1)Prove that the intersection of an arbitrary collection of closed sets is closed. 2)Prove that the union of a finite collection of closed sets is closed

Prove: If [P(H)] holds, then all Saccheri quadrilaterals have accute top angles.

Prove that the union of a finite collection of compact subsets is compact

5. Prove the Following: a. Let {v1, . . . , vn} be a finite collection...

5. Prove the Following: a. Let {v1, . . . , vn} be a finite collection of vectors in a vector space V and suppose that it is not a linearly independent set. i. Show that one can find a vector w ∈ {v1, . . . , vn} such that w ∈ Span(S) for S := {v1, . . . , vn} \ {w}. Conclude that Span(S) = Span(v1, . . . , vn). ii. Suppose T ⊂ {v1,...

4. [30 pts] 20 liters of water at 20 bar and 100 °C are in a...

4. [30 pts] 20 liters of water at 20 bar and 100 °C are in a variable volume container. 56,000 kJ of heat are added to the system at constant pressure which causes an increase in both temperature and volume. a. [4 pts] Draw a schematic of the process b. [4 pts] Write the energy balance for this process and clearly state any assumptions: c. [12 pts] What is the final volume of the container? d. [8 pts] How much...

2. A sample of 25 items yields X(This is X with bar ¯ on top) =...

2. A sample of 25 items yields X(This is X with bar ¯ on top) = 60 grams and s = 5 grams. Assuming a normal parent distribution, construct a 99 percent confidence interval for the population mean weight. 3. Of a random sample of 600 trucks at a bridge, 120 had bad signal lights. Construct a 90 percent confidence interval for the percentage of trucks that had bad signal lights. 4.A cable TV company wants to estimate the percentage...

Prove the following stronger variant of Proposition 7.4. Suppose C is collection of connected subsets of...

Prove the following stronger variant of Proposition 7.4. Suppose C is collection of connected subsets of a metric space X and B ∈ C. Show, if for each A ∈ C, A ∩ B not equal ∅, then Γ = ∪{C : C ∈ C} is connected. [Suggestion: Consider the collection D = {C ∪ B : C ∈ C}].

(8 pts) Endotoxin is a major cause of septic shock. Describe (2 pts) where endotoxin comes...

(8 pts) Endotoxin is a major cause of septic shock. Describe (2 pts) where endotoxin comes from, (4 pts) the specific steps the innate and acquired immune system takes to respond to endotoxin in the blood stream. Explain the steps from the recognition of endotoxin by the innate immune system to the response by the acquired immune system. (2 pts) how the immune system response leads to septic shock.

Answer all definitions. a) [2 pts] Environmental economics b) [2 pts] performance-based standard c) [2 pts]...

Answer all definitions. a) [2 pts] Environmental economics b) [2 pts] performance-based standard c) [2 pts] hedonic price method d) [2 pts] Market Failures e) [2 pts] contingent valuation method

a) Prove that an isolated point of set A is a boundary point of A (where...

a) Prove that an isolated point of set A is a boundary point of A (where A is a subset of real numbers). b) Prove that a set is closed if and only if it contains all its boundary points

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