Homework Answers
ANSWER:-
OPTION (A) all of the above
Explanation:-
A ⊆ B Subset: A has some (or all) elements of B
so conclusion all three option follow subset rule
3. Let A be a set and let B be a subset of A. Suppose that...
3. Let A be a set and let B be a subset of A. Suppose that b is a specific element of B. Consider the set (a) Write out the above set in complete sentences (b) Give three examples of elements of the set if A-{ 1, 2, 3, 4, 5, 6), B-12, 4,5 } and b 5. (c) Determine if the following set will be a subgroup of SA
2. Given the set S-ta,b,c,d,e,f,g,h) a) How many subsets does S have? b) How many subsets...
2. Given the set S-ta,b,c,d,e,f,g,h) a) How many subsets does S have? b) How many subsets have exactly 5 elements? c) A subset is randomly chosen for the collection of all possible a) b) c) subsets. What is the probability that it contains exactly 3 elements? d) A subset is chosen at random from all the subsets. d) What is the probability that it contains the element a?
Describe what happens if an alloy with the eutectic composition is cooled from just above to just...
Not sure about the questions please answer.
1A)
1b)
1C
Describe what happens if an alloy with the eutectic composition is cooled from just above to just below the eutectic temperature What is the solubility of tin in lead at 160 degrees C? Select one: 0 a. 1 2 at% b. 18.3 at% c, 20 at% O d. zero Which of the following is true for a mixture of elements in a solid? Select one: a. A mixture of elements...
4. Ranking/Unranking Subsets. Let A be a set of n elements and set Sk(A) be the collection of all k-element subsets of A. Recall that |Sk(A)I - (a.) (8 points) Describe a ranking algorithm to rank a...
4. Ranking/Unranking Subsets. Let A be a set of n elements and set Sk(A) be the collection of all k-element subsets of A. Recall that |Sk(A)I - (a.) (8 points) Describe a ranking algorithm to rank a k-element subset of an n-element set. (b.) (8 points) Describe an unranking algorithm to unrank an integer 0 < s< [into a ithm to unrank an integer 0 S s <C) k-element subset of an n-element set. (c.) (10 points) As examples, let...
Let A be a non-empty subset of R that is bounded above. (a) Let U =...
Let A be a non-empty subset of R that is bounded above. (a) Let U = {x ∈ R : x is an upper bound for A}, the set of all upper bounds for A. Prove that there exists a u ∈ R such that U = [u, ∞). (b) Prove that for all ε > 0 there exists an x ∈ A such that u − ε < x ≤ u. This u is one shown to exist in...
Definition A commutative ring is a ring R that satisfies the additional axiom: R9. Commutative La...
Definition A commutative ring is a ring R that satisfies the additional axiom: R9. Commutative Law of Multiplication. For all a, bER Definition A ring with identity is a ring R that satisfies the additional axiom: R10. Existence of Multiplicative Identity. There exists an element 1R E R such that for all aeR a 1R a and R a a Definition An integral domain is a commutative ring R with identity IRメOr that satisfies the additional axiom: R1l. Zero Factor...
1. Suppose that a function f, defined for all real numbers, satisfies the property that, for...
1. Suppose that a function f, defined for all real numbers, satisfies the property that, for all x and y, f(x + y) = f(x) + f(y). (*) (a) (2 points) Name a function that satisfies property (*). Name another that doesn't. Justify your answers. (b) (3 points) Prove that any function that satisfies property (*) also satisfies f(3x) = 3f(x). (c) (5 points) Prove that any function that satisfies property (*) also satisfies f(x - y) = f(x) –...
1. Suppose that a function f, defined for all real numbers, satisfies the property that, for...
1. Suppose that a function f, defined for all real numbers, satisfies the property that, for all x and y, f(x + y) = f(x) + f(y). (*) (a) (2 points) Name a function that satisfies property (*). Name another that doesn't. Justify your answers. (b) (3 points) Prove that any function that satisfies property (*) also satisfies f(3x) = 3f(x). (c) (5 points) Prove that any function that satisfies property (*) also satisfies f(x - y) = f(x) –...
We now have a set N [see Problem 21 which is a subset of S and...
We now have a set N [see Problem 21 which is a subset of S and also an element of the codomain of F: S- P(S). Let us think about what happens if there exists an element c in S such that Rd = N. In (a) and (b) below, we investigate the consequences of this supposition. a. Is it possible to have c be an element of N? Explain (of course). b s it possible to have c NOT...
solve it in c+* Part II: Dynamic Arrays and Pointer Arithmetic Q5: Implement a subset function...
solve it in c+*
Part II: Dynamic Arrays and Pointer Arithmetic Q5: Implement a subset function for a dynamic array which returns a new dynamic array that is a subset of the original. (15pt) input parameters: array - (the array and any related parameters) start - index of the first element end - index of the last element This function returns a new dynamic array containing the elements from the start thru the end indices of the original array. All...
3. Let A be a set and let B be a subset of A. Suppose that b is a specific element of B. Consider the set (a) Write out the above set in complete sentences (b) Give three examples of elements of the set if A-{ 1, 2, 3, 4, 5, 6), B-12, 4,5 } and b 5. (c) Determine if the following set will be a subgroup of SA
2. Given the set S-ta,b,c,d,e,f,g,h) a) How many subsets does S have? b) How many subsets have exactly 5 elements? c) A subset is randomly chosen for the collection of all possible a) b) c) subsets. What is the probability that it contains exactly 3 elements? d) A subset is chosen at random from all the subsets. d) What is the probability that it contains the element a?
Not sure about the questions please answer.
1A)
1b)
1C
Describe what happens if an alloy with the eutectic composition is cooled from just above to just below the eutectic temperature What is the solubility of tin in lead at 160 degrees C? Select one: 0 a. 1 2 at% b. 18.3 at% c, 20 at% O d. zero Which of the following is true for a mixture of elements in a solid? Select one: a. A mixture of elements...
4. Ranking/Unranking Subsets. Let A be a set of n elements and set Sk(A) be the collection of all k-element subsets of A. Recall that |Sk(A)I - (a.) (8 points) Describe a ranking algorithm to rank a k-element subset of an n-element set. (b.) (8 points) Describe an unranking algorithm to unrank an integer 0 < s< [into a ithm to unrank an integer 0 S s <C) k-element subset of an n-element set. (c.) (10 points) As examples, let...
Definition A commutative ring is a ring R that satisfies the additional axiom: R9. Commutative Law of Multiplication. For all a, bER Definition A ring with identity is a ring R that satisfies the additional axiom: R10. Existence of Multiplicative Identity. There exists an element 1R E R such that for all aeR a 1R a and R a a Definition An integral domain is a commutative ring R with identity IRメOr that satisfies the additional axiom: R1l. Zero Factor...
1. Suppose that a function f, defined for all real numbers, satisfies the property that, for all x and y, f(x + y) = f(x) + f(y). (*) (a) (2 points) Name a function that satisfies property (*). Name another that doesn't. Justify your answers. (b) (3 points) Prove that any function that satisfies property (*) also satisfies f(3x) = 3f(x). (c) (5 points) Prove that any function that satisfies property (*) also satisfies f(x - y) = f(x) –...
1. Suppose that a function f, defined for all real numbers, satisfies the property that, for all x and y, f(x + y) = f(x) + f(y). (*) (a) (2 points) Name a function that satisfies property (*). Name another that doesn't. Justify your answers. (b) (3 points) Prove that any function that satisfies property (*) also satisfies f(3x) = 3f(x). (c) (5 points) Prove that any function that satisfies property (*) also satisfies f(x - y) = f(x) –...
We now have a set N [see Problem 21 which is a subset of S and also an element of the codomain of F: S- P(S). Let us think about what happens if there exists an element c in S such that Rd = N. In (a) and (b) below, we investigate the consequences of this supposition. a. Is it possible to have c be an element of N? Explain (of course). b s it possible to have c NOT...
solve it in c+*
Part II: Dynamic Arrays and Pointer Arithmetic Q5: Implement a subset function for a dynamic array which returns a new dynamic array that is a subset of the original. (15pt) input parameters: array - (the array and any related parameters) start - index of the first element end - index of the last element This function returns a new dynamic array containing the elements from the start thru the end indices of the original array. All...
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