Put the waves in order from highest frequency to lowest frequency
2 answers:
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The number of bacteria in species A at time t is given by: 
.
The number of bacteria in species B at time t is given by
You are asked to find N(t) which is the difference in the species at time t. Difference refers to the answer is a subtraction problem. Thus, we are asked to find N(t) = A(t)-B(t)
We subtract and obtain:
That is,
which is the last answer choice.
With respect to notation, it is common to denote an exponent using ^. So if we want to write
we can write "(.25t)^3"
The number of bacteria in species B at time t is given by
You are asked to find N(t) which is the difference in the species at time t. Difference refers to the answer is a subtraction problem. Thus, we are asked to find N(t) = A(t)-B(t)
We subtract and obtain:
That is,
With respect to notation, it is common to denote an exponent using ^. So if we want to write
Answer:
(a)
(b)P'(5)=-($4.54) Thousand
(c)P'(11)=-($2.10) Thousand
(d)The fifth Month
Step-by-step explanation:
Given the monthly profit model:
(a)We want to derive a model that gives the Marginal Profit, P' of the book.
We differentiate
using quotient rule.
Simplifying
We have derived a model for the marginal profit.
(b) After 5 months, at t=5
Marginal Profit=P'(5)
=-($4.54) Thousand of dollars
(c)Marginal Profit 11 Months after book release
=-($2.10) Thousand of dollars
(d) Since the marginal profit at t=5 is negative, after the 5th Month, the profit starts to experience a steady decrease.