Every fish that is bony is not pleasant to eat. Every fish that is not bony is slimy. Therefore every fish that is pleasant to eat is slimy.
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- Consider the statement ∀x∃!y (2x – 3y = 1). Is this true or false if the universe of discourse is x, y ∈ ℚ? Either provide a proof to show that this is true or provide a counterexample to show that this is false. Is this true or false if the universe of discourse is x, y ∈ ℕ? Either provide a proof to show that this is true or provide a counterexample to show that this is false.wouldn't there be a t in the second term of the general solution?2. Determine whether the following argument is valid: (Show your solution)
- Apply the pigeonhole principle to answer the following questions. If the pigeonhole principle cannot be applied, give a specific counterexample. 1. A team of three high jumpers all have a personal record that is at least 6 feet and less than 7 feet. Is it necessarily true that two of the team members must have personal records that are within four inches of each other? 2. What if there are four jumpers? Note that here heights are measured to within a precision of 1/4 inchWhich of the following statements is CORRECT? 1. b. The typical R2 for a stock is about 0.94 and the typical R2 for a portfolio is about 0.6. 2. c. The typical R2 for a stock is about 0.3 and the typical R2 for a large portfolio is about 0.94. 3. d. The typical R2 for a stock is about 0.94 and the typical R2 for a portfolio is also about 0. 4. e. The typical R2 for a stock is about 0.6 and the typical R2 for a portfolio is also about 0.6. 5. a. The typical R2 for a stock is about 0.3 and the typical R2 for a portfolio is also about 0.3.Adapt the argument in Example 2 to prove rigorously thatlim x 2 = c2 for all c. x→ c
- Disprove the statement by giving counterexamples If m,n ∈ R, then |m + n| = |m| + |n|.So I have derived Q1 and I want to do Q2 but I'm wondering if I can simply express E(X|Y) as an expression of x instead of letting Y=0, Y=1...Which of the following statements is true about the complementary and particular solutions?
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