Let V = {S, A, B, a, b} and T = {a, b}. Determine whether G = (V, T, S, P ) is a type 0 grammar but not a type 1 grammar, a type
1 grammar but not a type 2 grammar, or a type 2 grammar but not a type 3 grammar if P, the set of productions, is:_______
a) S → aAB, A → Bb, B → λ.
b) S → aA, A → a, A → b.
c) S → ABa, AB → a.
d) S → ABA, A → aB, B → ab.
e) S → bA, A → B, B → a.
f ) S → aA, aA → B, B → aA, A → b.
g) S → bA, A → b, S → λ.
h) S → AB, B → aAb, aAb → b.
i) S → aA, A → bB, B → b, B → λ.
j) S → A, A → B, B → λ
a) S → aAB, A → Bb, B → λ.
b) S → aA, A → a, A → b.
c) S → ABa, AB → a.
d) S → ABA, A → aB, B → ab.
e) S → bA, A → B, B → a.
f ) S → aA, aA → B, B → aA, A → b.
g) S → bA, A → b, S → λ.
h) S → AB, B → aAb, aAb → b.
i) S → aA, A → bB, B → b, B → λ.
j) S → A, A → B, B → λ
1 answer:
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Answer:
Step-by-step explanation:
-The locust population grows by a factor and can therefore be modeled by an exponential function of the form:
Where:
is the population after t days.
is the initial population given as 7600
is the rate of growth
is time in days
-Given that the growth is by a factor of 5( equivalent to 500%), the r value will be 5
-The population increases by a factor of 5 every 22 days. therefore at any time instance, t will be divided by 22 to get the effective time for calculations.
Hence, the exponential growth function will be expressed as: