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For Exercises 85−90, determine the average rate of change of the function on the given interval. (See Example 7)
86.
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360 11 WEEK COLLEGE ALGEBRA & TRIG
- Determine the value of the difference quotient (the average rate of change) near the point (3,f(3)) when: f(x)=x2−3x and when the length of h is 0.3. 0.9 3 3.3 −11.7 0.99arrow_forwardIn the theory of learning, the rate at which a subject is memorised is assumed to be proportional to the amount that is left to be memorised. However, the factor of forgetting influences the amount that have memorised. Thus, assume that the rate at which material is forgotten is proportional to the amount memorised at any time t > 0. Suppose M denotes the total amountof a subject to be memorised and A(t) is the amount memorised at time t > 0. Determine a differential equation for A(t).arrow_forwardConsider the function. What is the approximate average rate of change of the function from x=−4x=−4 to x=2?x=2?arrow_forward
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- The advertising manager for a new product determines that P percent of the potential market is aware of the product t weeks after the advertising campaign begins. (a) What happens to the percent of people who are aware of the product in the long run? As time passes, the percent of people aware of the product approaches approximately____%. (b) What happens to the rate of change of the percent of people who are aware of the product in the long run? As time passes, the rate of change of the percent of people aware of the product approaches ____%.arrow_forwardFind the average rate of change for f(x)=x+1f(x)=x+1 over the interval [4,5][4,5]. Be sure to simplify the answer.arrow_forwardFind the average rate of change of f from x1=-4 to x2=4. The answer is -1, but I keep getting 1arrow_forward
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