Tanslate each of these logical expressions into English. Let R(x) denote x is a reptile. Let M (x) denote x is a mammal. Let S(x) denote x has scales. Let F (x, y) denote x is faster than y. Assume the domain is all animals. A) ∃x(M (x) ∧ S(x)) B) ∀x∀y((M (x) ∧ R(y)) → F (x, y)) C) ∀x(((M (x) ∧ S(x)) → ∃y(R(y) ∧ F (y, x)))

Q: Let X and Y be independent, and let X be N(10, 1) and Y be N(11, 1). PIX >Y),

A: From the given information, X and Y are independent random variables. Let X be a N(10, 1) variable…

Q: f: X→ Y and g: Y→V be bijective functions. Show the following: ) gof: X→V is injective. ) gof: X→ V…

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Q: 3. f(x, y) = x² x+y + y²-1 -; (1, 1), (-1, 1).

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Q: f: X→Y and g: Y→V be bijective functions. Show the following: ) gof: X→ V is injective. ) gof: X → V…

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Q: a. Let X = {2, 4, 6} and Y = {a, b, c, d'}. Define g : X→ Y by the following arrow diagram. X 2 4 bo…

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Q: find the nUmbers b such that the auerage due of f(x)2+6x-3x on the interval E LO,b) is equel to 3

A: Average value of function is given by taking the integral of the function over the interval and…

Q: Let A = {1,2,3}, Define the functions f: A → C and g: B → C by f(1) = 7, f(2) = 9, f(3) = 7, g(4) =…

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Q: 2. Claim: A majority of adults would erase all of their personal information online if they could. A…

A: We need to use the concept of hypothesis testing for such problems.

Q: Let A = {1,2,3}, B B = = Define the functions f: AC and g: B → C by f(1) = 7, f(2)= 9, f(3) = 7,…

A: We want g o h = f.     So, we want g o h(1) = f(1) = 7            and g o h(3) = f(3) = 7   Now,…

Q: of Əf Find and дх ду Əf дх — II for the following function. f(x,y) = (5x – 2y)5

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Q: Let B = R − {3}. Define g : B → B by g(t) = 3t/(t − 3) Show that the function g is surjective.…

A: We are given that B = R − {3}. Define g : B → B by g(t) = 3t/(t − 3). We need to show that g is…

Q: let f(x) = 2(x + 3)x² + x – 2 Find the absolute maximum value of "f"over [-2,1]. O a. -10 O b. -29…

A: Answer

Q: Let X = {1,{1},{1,2},2,{3},4}. Determine whether the following statements are true or false. Briefly…

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Q: Either prove that the wff is a valid argument or give an interpretation in which it is false. [(Vx)…

A: Given that, For all x P(x) implies that for all x Q(x).

Q: example of two functions t₁ (n) and t₂(n) that satisfy the relations t₁(n) w(n²), t₂(n) = w(n²) and…

A: Given that the two functions t1(n) and t2(n) that satisfy the relations                t1(n)=ω(n2),…

Q: The restrictions on the domain for f (z) = 2x + are +2 O True O False

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Q: (a) Let x1,.., Xn+2 € R". Show that there must exist some sets A and B such tha i. ANB=Ø, ii. AUB=…

A: Let x1,x2,....,xn+1∈ℝn We take n=5. then x1,x2,x3,x4,x5,x6,x7∈ℝn There exists two sets A and B,…

Q: Suprema and 7: Cosider the the function 14x f: R → R, 7+ x2 and the sets Ti = f(R) = {f(x)|x € R}…

A: Given: f: ℝ→ℝf(x) = 14x7+x2  and the sets  T1= f(ℝ) = {f(x)  x ∈ℝ } ⊂ ℝT2= f(Q) = {f(q)  q ∈Q }  ⊂ ℝ