optimization3 [Notes & HW Answers] 4.6 Related Rates [Prepwork 4.6] Q1. In example 4, how fast is the fuel consumption changing if instead the car is moving 30 mph and decelerating at a rate of 3000 miles/hr^2? Answer: Decreasing at a rate of approximately (choose the closest answer) 600 mpg/hr. Q2. A spherical snowball is melting. Its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm. How fast is the volume de.. 2022. 12. 6. [Notes & HW Answers] 4.3 Optimization and Modeling [Prepwork 4.3] Q1. Consider the following problem: You are standing on a river bank and want to get to a house that is on the other side of the river and 800 feet up the river as quickly as possible. The river is 100 feet wide. You can walk along the river at a speed of 5 ft/sec or swim across the river at a speed of 3 ft/sec. What path should you take? A: Which of the following quantities are y.. 2022. 12. 6. [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. 이전 1 다음
