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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 (ii) Finite Set
(iii) Cardinality of a Set (iv) Subset of a Set
for what value of k,the following system of equations have infinite solutions?kx + 5y -(k-5)=0;20x +ky - k=0
Multiply following. (a) (4x 2 -x)(6-3x) (b) (2x+6) 2 Solution (a) (4x 2 - x )(6 - 3x ) Again we will only FOIL this one out. (4x 2 - x )(6 - 3x) = 24x 2 -
Solve the subsequent differential equation. 2xy - 9 x 2 + (2y + x 2 + 1) dy/dt = 0 Solution Let's start off via supposing that wherever out there in the world is a fun
Let be the set of all divisors of n. Construct a Hasse diagram for D15, D20,D30. Check whether it is a lattice Or Complement lattice.
The Laser Computer Printer Company decides monthly what to produce during the subsequent month. They produce three types of printers, the Laser Rocket, the Alpha Laser, and the La
Example determines the first four derivatives for following. y = cos x Solution: Again, let's just do so
Suppose a unit circle, and any arc S on the unit circle in the first quadrant. No matter where S is provided, the area between S and the x-axis plus the covered area between S and
A circular print is being matted in a square frame. If the frame is 18 in by 18 in, and the radius of the print is 7 in, what is the area of the matting? (π = 3.14) a. 477.86 in
Example Find the Highest Common Factor of 54, 72 and 150. First we consider 54 and 72. The HCF for these two quantities is calculated as follows:
Method to determine solution is absolute minimum/maximum value Let's spend a little time discussing some methods for determining if our solution is in fact the absolute minimum
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