10/07/21
Derivative Inverse Question
For each of the given functions f(x) , find the derivative (f^-1)'(c) at the given point c , first finding a = f^-1(c)f(x) = 3x+7x^15 ; c = -10a = -1(f^-1)'(c) = ????f(x) = x^2 - 15x + 77 on the...
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RECURSION AND MATHEMATICAL INDUCTION
You are given the sequence defined as followsa n = 3 a n-1 +n , ∀ n ≥ 2a 1 = 1Use iteration to guess an explicit formula for a n and then use mathematical induction to prove the correctness of...
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09/27/21
Freshener Air Problem.
A company that makes air fresheners has determined with x milliliters of liquid, their product lasts for Q(x)days. Based on their current formula, a 20 milliliter (mL) container will last for 21...
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Help me with this integral problem?
Show whether ∫ 1/x^4 dx from -1 to 2 is convergent or divergent. If convergent, evaluate the integral. Here's my work:After integrating, I got [-1/(3x^3)] from -1 to 2 and I got -3/8 as the answer...
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