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. a. What is average rate at which the electrical charge decreases from t=0 to t 4? Average change : f(4)- 10) 1(4)-10) -0.1(4)2- 0,5(4) +15-[-0.1 (0)-a5(0) + 15 4- 0 4 - 3-6 -0.9 4 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.

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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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.
Transcribed Image Text: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.
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