Example: • Investing club advertisement: "Your money will grow at a 3% annual interest rate with us." dA = 0.03A In this example, 0.03A represents 3% of your deposited money, and 4 is the growth you are promised, in units of dollars per year. The function A (t) is not known, but it represents your bank balance at time t (in years). Notice, when your bank balance is larger, you will earn more money per year in interest. This is why the factor.A must be part of the rate of change formula: your dollars per year of interest income depends upon your bank balance A You try one: • The population of a town grows continuously at an annual rate of 1.25%. dP dt [ Select ] v 1.25 OR 0.0125 OR 1.25P OR 0.0125P %3D In this problem, [Select] v represents 1.25% of the town's population, and dP is the rate of change, in units of [Select] dP/dt OR 0.0125 OR 0.0125P people per year OR dollars per year OR dollars per person

Example: • Investing club advertisement: "Your money will grow at a 3% annual interest rate with us." dA = 0.03A In this example, 0.03A represents 3% of your deposited money, and 4 is the growth you are promised, in units of dollars per year. The function A (t) is not known, but it represents your bank balance at time t (in years). Notice, when your bank balance is larger, you will earn more money per year in interest. This is why the factor.A must be part of the rate of change formula: your dollars per year of interest income depends upon your bank balance A You try one: • The population of a town grows continuously at an annual rate of 1.25%. dP dt [ Select ] v 1.25 OR 0.0125 OR 1.25P OR 0.0125P %3D In this problem, [Select] v represents 1.25% of the town's population, and dP is the rate of change, in units of [Select] dP/dt OR 0.0125 OR 0.0125P people per year OR dollars per year OR dollars per person

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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Example:
• Investing club advertisement: "Your money will grow at a 3% annual interest rate with us."
dA
dt
0.03A
In this example, 0.03A represents 3% of your deposited money, and A is the growth you are promised, in units of dollars per year.
The function A (t) is not known, but it represents your bank balance at timet (in years).
Notice, when your bank balance is larger, you will earn more money per year in interest. This is why the factor A must be part of the rate of change formula: your dollars per year of interest income
depends upon your bank balance A
You try one:
• The population of a town grows continuously at an annual rate of 1.25%.
dP
[ Select ]
v 1.25 OR 0.0125 OR 1.25P OR 0.0125P
dt
In this problem,
[ Select ]
represents 1.25% of the town's population, and
dP
is the rate of change, in units of [Select ]
dP/dt OR 0.0125 OR 0.0125P
people per year OR dollars per year OR dollars per person

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