SURVEY OF CALCULUS FINAL EXAM REVIEW QUESTIONS & ANSWERS

ln (0) =


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DNE




what is the derivative of x^n

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nx^n-1




problems finding 3 sides of a rectangle process


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first have two equations one with the sum (2x+y=length of fence) and
another with the product (x*y=area). then find y and then simplify in terms
of x. find the derivative and set equal to 0 to maximize/minimize. then find
the area or perimeter depending on the equation by plugging in x or y.




log of a reciprocal
ln (1/a) =...


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-ln(a)




when is f increasing on a sign chart (think about the signs)


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from + to -

, what is the derivative of log b(x)


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1
__________
x ln(b)




equation for marginal profit


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P'(x)=R'(x)-C'(x)
marginal profit=marginal revenue-marginal cost




describe the variables in the radioactive decay equation
Q=Q₀e^rt


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Q₀ is the amount of the substance at time t=0
r is the continuous compound ate of decay
t is the time in years
Q is the amount of the substance at time t




equation for finding the periodically-compounded interest


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