An asymptote is a line that the graph of a function ___
2 answers:
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Answer:
a) , b)
, c)
, d)
Step-by-step explanation:
a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:
b) The general solution is found after separating variables and integrating each sides:
Where is the time constant and
c) The time constant is:
The particular solution of the differential equation is:
d) The amount of radium after 300 years is:
In a quadratic function, the leading coefficient is
, i.e. the coefficient of
, and the constant term is
, i.e. the coefficient without any power of
.
So, if you want leading coefficient 2 and constant term -3, your function needs to be like
for any value of . Among your options:
- The first is not a quadratic (it starts with
)
- The second has leading term -3 and constant term 2
- The third is not a quadratic (same as the first)
- The last is correct.