2. Suppose a wire is placed along the x-axis, and its temperature (in °C) at the point x is given5. Find the average temperature of the wire from x = 0 to x = 1.5.15by T(x) =4x² +9

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Answered: lugins 2. Suppose a wire is placed…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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2. Consider the three functions below: S(x) = 2r S(z) =r S(z) = 2 (a) Create a t-table for cach of the three functions, using the x-values-2, -1, 0, 1, 2, and 3. (b) Which function appears to be growing the fastest? That is, for which function are the y-values increasing the fastest? (c) On the same set of axes, graph all three of the functions above. Be sure to scale your axes! Was your answer to part b correct?
1. The electrical charge on a new cell phone decreases according to the function C(t)=-0.1t -0.5t +15, where t is the time in hours following a full charge and C(t) is a measure of the charge, in charge units. What is average rate at which the electrical charge decreases from t =0 to t = 4 ? 2 Average change: {(4)- 10) -0,A(4)²– 0,5(4) +15 - [-0,1 (0)² asto) + 15] | 4- 0 4 - 3-6 -0.g b. What is the (instantaneous) rate at which the electrical charge decreases when t = 4? How long does one have until the charge is fully depleted? Hint: C(t)=0 when the charge is fully C. depleted.
A certain company has sales of DIY-cleaner. If the company has x sales of the DIY-cleaner then the marginal revenue of DIY-cleaner is MR = R'(x) = 7e¹0¹. If the company has no sales of DIY-cleaner then the company has no revenue. Round your answer to 2 decimal places. R(95) =

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lugins 2. Suppose a wire is placed along the x-axis, and its temperature (in °C) at the point is given 15 4x² +9 by T(x) = Find the average temperature of the wire from x = 0 to x = 1.5.