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Discrete Mathematics
A* algorithm uses f ' = g + h' to estimate
the cost of getting from the initial state
to the goal state, where g is a measure
of the cost of getting from initial state
to the current node and the function h'
is an estimate of the cost of getting
from the current node to the goal state.
To find a path involving the fewest
number of steps, we should set
(A) g = 1
(B) g = 0
(C) h' = 0
(D) h' = 1
the cost of getting from the initial state
to the goal state, where g is a measure
of the cost of getting from initial state
to the current node and the function h'
is an estimate of the cost of getting
from the current node to the goal state.
To find a path involving the fewest
number of steps, we should set
(A) g = 1
(B) g = 0
(C) h' = 0
(D) h' = 1
Discrete Mathematics
How many bit strings of length five either begin or end with a 1?
Discrete Mathematics
How many maximum number of bit strings of length five are possible?
Discrete Mathematics
a) Which of the following functions are 1-1 and which are onto? Justify your answer.
i) f : R!R0 given by f (x) = x2 where R0 is the set fx 2 Rjx 0g.
ii) f : R!R given by f (x) = x2+x+1.
i) f : R!R0 given by f (x) = x2 where R0 is the set fx 2 Rjx 0g.
ii) f : R!R given by f (x) = x2+x+1.
Discrete Mathematics
Sophia asked the students in her class to name their favorite sport. She made this list to display the results, 1/3 of the students names basketball, 1/8 of the students named soccer, 5/12 of the students named football. The rest of the students in te class named baseball. What fraction of the students in the class named baseball as their favorite sport?
Discrete Mathematics
Roxanne sits and writes roxyroxyroxyroxyroxy... If she continues, determine the 2134th letter she will write down
Discrete Mathematics
write the following sentence in predicate calculus.
Every teacher takes care of his student.john is the teacher and James is his student.
Every teacher takes care of his student.john is the teacher and James is his student.
Discrete Mathematics
1. The cost of a piece of cloth is Rs. 35. If the piece were 4 m longer and each meter costs Rs. 1 les
s, the cost would remain unchanged. How long is the piece.
2. In a group of 50 people; 35 speak Hindi, 25 speak both English and Hindi and all people speak at least one of the two languages. How many people speak only English and not Hindi? How many people speak English?
3.Which is a better investment 14% stock at 95 or 15% stock at 105?
4.There are two types of fertilizers
1Fand2F.1F consists of 10% nitrogen and 6% phosphoric acid and 2 F consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that he atleast needs 14 kg. of nitrogen and 14 kg of phosphoric acid for the crop. If 1F costs Rs. 6 per kg. and 2F costs Rs. 5 per kg., determine how much of each type of fertilizer should be used so that nutrient requirements are met at a minimum cost.
s, the cost would remain unchanged. How long is the piece.
2. In a group of 50 people; 35 speak Hindi, 25 speak both English and Hindi and all people speak at least one of the two languages. How many people speak only English and not Hindi? How many people speak English?
3.Which is a better investment 14% stock at 95 or 15% stock at 105?
4.There are two types of fertilizers
1Fand2F.1F consists of 10% nitrogen and 6% phosphoric acid and 2 F consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that he atleast needs 14 kg. of nitrogen and 14 kg of phosphoric acid for the crop. If 1F costs Rs. 6 per kg. and 2F costs Rs. 5 per kg., determine how much of each type of fertilizer should be used so that nutrient requirements are met at a minimum cost.
Discrete Mathematics
A plane sheet of material is bound by the curve y = x^2 from x = 0 to x =1, the x-axis
and the line x =1. If the mass per unit area (density) of the sheet is xy find the mass of
the sheet.
and the line x =1. If the mass per unit area (density) of the sheet is xy find the mass of
the sheet.
Discrete Mathematics
How many edges does a complete tournament graph with n vertices have?
a) n(n-1)/2
b) n-1
c) n
d) none of the above.
a) n(n-1)/2
b) n-1
c) n
d) none of the above.
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#339914 on Dec 2023
#339914 on Dec 2023