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1. The integrating factor of the DE 2 coshx cosy dx = sinhx siny dy is (a) sinhx (b) coshx (c) tanhx (d) cothx 2. Which of the following is false? (a) The topological space that are finite are always connected (b) The set of real numbers R with usual topology is not compact (c) The diameter of A ̅ is always same as the diameter of A, where A⊂ R (d) There exist topological space with countably many points that have uncountably many open set 3. Let f(x) = |x|, for -1 ≤ x ≤ 2 and the partition of P = ( -1, -1/2, 0, 1/2, 1, 3/2, 2 ) then the value of L(f,p)= (a) 7/4 (b) 13/4 (c) 9/4 (d) 10/4

1. The integrating factor of the DE 2 coshx cosy dx = sinhx siny dy is (a) sinhx (b) coshx (c) tanhx (d) cothx 2. Which of the following is false? (a) The topological space that are finite are always connected (b) The set of real numbers R with usual topology is not compact (c) The diameter of A ̅ is always same as the diameter of A, where A⊂ R (d) There exist topological space with countably many points that have uncountably many open set 3. Let f(x) = |x|, for -1 ≤ x ≤ 2 and the partition of P = ( -1, -1/2, 0, 1/2, 1, 3/2, 2 ) then the value of L(f,p)= (a) 7/4 (b) 13/4 (c) 9/4 (d) 10/4

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Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
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