MTH211 Past Questions

MTH211

When two sets A and B consist of the same elements, they are called sets
Answer: union

Which of the following is sinusoidal function
Answer: trigonometric

Consider the subsets K =\(Umathrm{\\{}\)2, 4, 6, 8\(\\mathrm{\\}}\), L\n=\)\\mathrm{\\{}\)1, 2, 3, 4\)\\mathrm{\\}}\)of U=\)\\mathrm{\\0\)1, 2, 3,\n 10\)\\mathrm{\\}}\). Find \)KA{V}\)7
Answer: \\(\\mathrm{\\{}\\)1, 3, 5, 7, 9,10\\ (\\mathrm{\\}}\\)

Every element \(x\\in\\mathbb{Z}\) has inverses with respect to addition as a binary operation.
Answer: \\(-x\\)

Find the domain D of each of the following real-valued function \(f\\left(x\\right)=\\sqrt{9- xA{2}}\)
Answer: \\([3,0]\\)

\(\\frac{2}{3}\\ \) is an example of number
Answer: rational

Every non-empty subset of natural numbers has a least element.
Answer: well-ordering principle

Let A = \(\\mathrm{\\{}\)1,2\(\\mathrm{\\}}\), B = \(Umath rm{\\{}\)a, b, c\(\\mat hrm{\\}}\), C = \ (\\mathrm{\\ö\)c,d\(\\mathrm{\\}}\). Find \(A\\ WtimesW (BWcapW C). \)
Answer: \\(\\left[\\begin{array}{cc} 1 & OWW 0 & 1 \\end{array}\\right]\\)

The binary operation on Z given by x \ (\\mathrm{\\ast} y = 1 + xy\) is but not associative
Answer: associative

Subtraction is an operation on Z which is neither commutative nor
Answer: associative

Which of these is not a set of numbers
Answer: intregral domain

The function \(g\\left(x\\right)=\\frac{x\\ -3} (5x-7}\) is not defined for \
(x= . \)
Answer: \\(frac{7}{5}\\)

\(2-i5\) is an example of number
Answer: complex

The set \(\\left\\{ a+b:a,b\\in ZWrightW} \) is set of number
Answer: real

Let A = \(\\mathrm{\\{}\)1,2\(\\mathrm{\\}}\), B = \(\\mathrm{\\ö\)a,b,c\(\\mathrm{\\}}\),\nC = \)\\mathrm{\\{}\)c,d\)\\mathrm{\\}}\). Find \)A\\ WtimesW (BWcapW C).\)
Answer: \\(\\mathrm{\\{}\\)( 1 , c), (2, c)\\ (\\mathrm{\\}}\\)

Exhibit in tabular form \(A=\\{a:a\\in N,\\ W 2<a<6\\}\)
Answer: \\(\\{3,4,5\\}\\)

Let \(A=\\left\\{ -1,1 H.iWrighlW} ,W i\\ =\\sqrt{-1}. \) Let the binary operation be multiplication, what is the inverse element of \(i\)?
Answer: \\(-i\\)

Given the sets A =\(\\mathrm{\\{}\)1\ (\\mathrm{\\}}\), B =\(\\mathrm{\\{}\)1,2, 3\ (\\mathrm{\\}}\), and C =\(\\mathrm{\\{}\)5\ (\\mathrm{\\}}\) is their superst
Answer: s =\\(\\mathrm{\\{}\\)1,2, 3,4, 5\\ (\\mathrm{\\}}\\)

If \(A=B\), then \(A-B\)=
Answer: empty set

Let \(f\\left(x\\right)=x^{2}-3x+3\) find f(-1 )
Answer: 7

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