HW 6-short.pdf * Week 7 Homework General Che X O File C:/Users/viann/Downloads/HW_6-short.pdf ABP 6-short.pdf 2 / 3 - 146% + | 日の uestion 5 The spread of a virus is modeled by V (t) = -t³ + t² + 12t, where V(t) is the number of people (in hundreds) with the virus and t is the number of weeks since the first case was observed. (a) Sketch V (t). (b) What is a reasonable domain of t for this problem? (c) Find the average rate of infection from t = 0 to t = 2. (d) Find the instantaneous rate of infection as a function of t using the limit definition of the derivative. (e) Find V(2) and V'(2). Write a sentence interpreting V(2) and V'(2) in terms of the number of infected people. Make sure to include units. (f) Sketch the tangent line to the graph you drew in a. at the point (2, V (2)). State the slope of the tangent line. (g) Use V(2) and V'(2) to estimate the value of V(2.1). (h) Find the maximum number of people infected at the same time and when the maximum occurs. Determine the rate of infection at this time. sort.pdf 12: 63°F CHAL 10 pe here to search

HW 6-short.pdf * Week 7 Homework General Che X O File C:/Users/viann/Downloads/HW_6-short.pdf ABP 6-short.pdf 2 / 3 - 146% + | 日の uestion 5 The spread of a virus is modeled by V (t) = -t³ + t² + 12t, where V(t) is the number of people (in hundreds) with the virus and t is the number of weeks since the first case was observed. (a) Sketch V (t). (b) What is a reasonable domain of t for this problem? (c) Find the average rate of infection from t = 0 to t = 2. (d) Find the instantaneous rate of infection as a function of t using the limit definition of the derivative. (e) Find V(2) and V'(2). Write a sentence interpreting V(2) and V'(2) in terms of the number of infected people. Make sure to include units. (f) Sketch the tangent line to the graph you drew in a. at the point (2, V (2)). State the slope of the tangent line. (g) Use V(2) and V'(2) to estimate the value of V(2.1). (h) Find the maximum number of people infected at the same time and when the maximum occurs. Determine the rate of infection at this time. sort.pdf 12: 63°F CHAL 10 pe here to search

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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