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Differentiability3

[Notes & HW Answers] 4.2 Optimization [Prepwork 4.2] Q1. Which of the following examples satisfy the hypotheses of the Extreme Value Theorem on the given interval? (A) k(x)={3x^2+9 for 0≤xf(x)=2x^3−12x^2+18x+16. Find the minimal value of f(x) on the interval −1≤x≤2. Answer: The minimum value of f(x) on this interval is −16 and occurs at x=−1. Q3. Suppose f(x)f(x) is a continuous function defined on −∞𝑔(𝑡)=6𝑡𝑒^(−5𝑡) if 𝑡>0. A: global.. 2022. 12. 6.
[WeBWork] Prepwork & HW 2.1~2.6 & 3.10 Answers Keywords: derivative, speed, acceleration, instantaneous velocity, changing, derivative function, the second derivative, differentiability Questions Example: [Prepwork 2.4] Q2. The cost of extracting T tons of ore from a copper mine is C = f (T) dollars. What does it mean to say that f 0(3400) = 250? A. When 3400 tons of ore have already been extracted from the mine, the cost of extracting the n.. 2022. 10. 28.
[Notes] Ch.2 Key Concept: The Derivative Keywords: derivative, speed, acceleration, instantaneous velocity, changing, derivative function, the second derivative, differentiability Preview the notes: Keywords: derivative, speed, acceleration, instantaneous velocity, changing, derivative function, the second derivative, differentiability 2022. 10. 28.

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