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a) Using Karnaugh map, show
X': A'BC'D'+ ABC'D'+ A'BCD'+ ABCD' (b) If R is an equivalence relation on set A, prove that R-1 is also an equivalence relation.
(c) Explain Konigsberg's 7 bridges problem and Euler's solution to it.
"Inside function" and "outside function : Generally we don't actually do all the composition stuff in using the Chain Rule. That can get little complexes and actually obscures the
A dealer sells a toy for Rs.24 and gains as much percent as the cost price of the toy. Find the cost price of the toy. Ans: Let the C.P be x ∴Gain = x % ⇒ Gain = x
Question: Let f be a quartic polynomial (ie. a polynomial of degree 4). Suppose that f has zeros at -2; 1; 3; 4 and that f(0) = 4. Sketch a graph of f. If f(x) is
Velocity : Recall that it can be thought of as special case of the rate of change interpretation. If the situation of an object is specified by f(t ) after t units of time the vel
What is a set? Explain various methods to represent a set in set theory. Define the following with the help of suitable examples. (i) Singleton Set
Find the largest possible positive integer that will divide 398, 436, and 542 leaving remainder 7, 11, 15 respectively. (Ans: 17) Ans: The required number is the HCF of the n
Explain Adding Negative Fraction? To add negative fractions: 1. Find a common denominator. 2. Change the fractions to their equivalents, so that they have common denominators
Finding Absolute Extrema of f(x) on [a,b] 0. Confirm that the function is continuous on the interval [a,b]. 1. Determine all critical points of f(x) which are in the inte
divid
which fractions is equivalent to 5/ 6 a.20/24 b.9/10 c.8/18 d.10/15
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