Homework Statement
Show by induction that if the fi nite sets A and B have m and n elements,
respectively, then
(i) A X B has mn elements;
(ii) A has 2m subsets;
(iii) If further A \cap B = \varphi, then A \cup B has m+ n elements.
NOTE : I am only interested in the (iii) section of...
I am learning mathematics on my own, self-study type. Currently following Zakon's first book in his 3 part series.
In chapter 2, section 6, I have been successfully able to solve all the problem till I encountered 11'. It seems simple enough, but I am unable to understand the problem in the...
Homework Statement
A ball is dropped from rest from a height h above the ground. Another ball is thrown vertically upward from the ground at the instant the first ball is released. Determine the speed of the second ball if the two balls are to meet at a height h/2 above the ground...
Hello Mark44,
U r DAMN RIGHT!
Once, I saw through your eyes, the prob was as clear as water
On 25th day height is h
On (25-7)= 18, height will be h/2
On (18-7) = 11, height will be (h/2)/2 = h/4
Beauty......
ThnX......a LooooooooooooooooooooT
Homework Statement
A rapidly growing plant doubles in height each week. At the end of the 25th day, the plant reaches the height of a building. At what time was the plant one-fourth the height of the building?
Homework Equations
The problem is a part of chapter which deals only with...