t (minutes) 8 12 16 H(t) (*C) 65 68 73 80 90 3. The temperature, in degrees Celsius (°C), of an oven being heated is modeled by an increasing differentiable function H of time t, where t is measured in minutes. The table above gives the temperature as recorded ever, 4 minutes over a 16-minute period. (a) Use the data in the table to estimate the instantancous rate at which the temperature of the oven is changin; at time t = 10. Show the computations that lead to your answer. Indicate units of measure. (b) Write an integral expression in terms of H for the average temperature of the oven between time t = 0 an time t = 16. Estimate the average temperature of the oven using a left Riemann sum with four subinterval: of equal length. Show the computations that lead to your answer. (c) Is your approximation in part (b) an underestimate or an overestimate of the average temperature? Give a reason for your answer. (d) Are the data in the table consistent with or do they contradict the claim that the temperature of the oven is increasing at an increasing rate? Give a reason for your answer. 4.

t (minutes) 8 12 16 H(t) (*C) 65 68 73 80 90 3. The temperature, in degrees Celsius (°C), of an oven being heated is modeled by an increasing differentiable function H of time t, where t is measured in minutes. The table above gives the temperature as recorded ever, 4 minutes over a 16-minute period. (a) Use the data in the table to estimate the instantancous rate at which the temperature of the oven is changin; at time t = 10. Show the computations that lead to your answer. Indicate units of measure. (b) Write an integral expression in terms of H for the average temperature of the oven between time t = 0 an time t = 16. Estimate the average temperature of the oven using a left Riemann sum with four subinterval: of equal length. Show the computations that lead to your answer. (c) Is your approximation in part (b) an underestimate or an overestimate of the average temperature? Give a reason for your answer. (d) Are the data in the table consistent with or do they contradict the claim that the temperature of the oven is increasing at an increasing rate? Give a reason for your answer. 4.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 52E

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