Concept explainers
Satellite power. The power supply of a satellite is a radioisotope (radioactive substance). The power output P, in watts (W), decreases at a rate proportional to the amount present and P is given by
where t is the time, in days.
a. How much power will be available after 375 days?
b. What is the half-life of the power supply?
c. The satellite cannot operate on less than 10 W of power. How long can the satellite stay in operation?
d. How much power did the satellite have to begin with?
e. Find the rate of change of the power output, and interpret its meaning.
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
CALCULUS+ITS APPLICATIONS
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Glencoe Math Accelerated, Student Edition
Precalculus (10th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
- Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is h. Let m(t) be the mass remaining at time t. a What is meant by the half-life h? b Write a formula for m(t) in terms of the half-life h. c Write a formula for the relative decay rate r in terms of the half-life h. d Write a formula for m(t) in terms of the relative decay rate r.arrow_forwardEstimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.arrow_forwardIn the exponential growth or decay function y=y0ekt, what does y0 represent? What does k represent?arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning