   Chapter 11.2, Problem 50E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Radioactive decay The amount of the radioactive isotope thorium-234 present at time t in years is given by Q ( t ) = 100 e − 0.02828 t (a) Find the function that describes how rapidly the isotope is decaying.(b) Find the rate of radioactive decay of the isotope after 10 years.

(a)

To determine

To calculate: The function which describes the rate of radioactive decay if the function Q(t)=100e0.02828t represents the model for the amount of the radioactive isotope thorium-234 present at time t in years.

Explanation

Given Information:

The function Q(t)=100e0.02828t represents the model for the amount of the radioactive isotope thorium-234 present at time t in years.

Formula used:

According to the property of differentiation, if a function is of the form f(x)=u(x)+v(x), then,

f(x)=u(x)+v(x)

Calculation:

Consider the provided function,

Q(t)=100e0.02828t

Where, t is the number of years.

Differentiate both sides with respect to t,

Q(t)=ddt(100e0

(b)

To determine

To calculate: The rate of radioactive decay of the isotope after 10 years.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### A sample of n = 9 scores has X = 108. What is the sample mean?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

#### Write the number in the form a + bi. 44. ei

Single Variable Calculus: Early Transcendentals

#### Find f(x) if f(x)=1x2 and f(2) = 0. a) 1x+12 b) 1x12 c) 3x3+38 d) 3x338

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 