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2 answers:
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Answer:
The equation is
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.
The general equation for an arithmetic sequence is:
Taking the mth term as reference, the equation can be written as:
t(4) = 8 and t(10) = 32
The common difference can be found:
So
Finding the first term:
So
So
The equation is
Using derivatives, the rate of change of the mineral level with respect to time for 4 days is -0.012 mg/cm².
<h3>What is the missing information?</h3>The function for the amount is missing, and is given by:
The problems asks for the rate of change of the mineral level with respect to time for 4 days.
<h3>What is the rate of change after 4 days?</h3>The rate of change after 4 days is given by:
C'(4).
Applying the chain rule, the derivative of C(t) is given as follows:
When t = 4, we have that:
Applying properties of exponents, we have that:
Hence:
C'(4) = -0.012.
The rate of change of the mineral level with respect to time for 4 days is -0.012 mg/cm².
More can be learned about derivatives at brainly.com/question/23819325
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3(1)-1= 2
3(2)-1= 5
3(3)-1= 8
3(4)-1= 11
3(5)-1= 14
3(2)-1= 5
3(3)-1= 8
3(4)-1= 11
3(5)-1= 14