Explanation Given Information: The percentage of mortgages issued during the year 2000-2008 is represented by the function A ( t ) = 15.0 1 + 8.6 ( 1.8 ) − t percent ( 0 ≤ t ≤ 8 ) , where t is the number of years after the start of year 2000 . Graph: Consider the function, A ( t ) = 15.0 1 + 8.6 ( 1.8 ) − t Use Ti-83 calculator to obtain the graph of the derivative of provided function. Step 1: Press ON key. Step 2: Press Y= key. Step 3: Press MATH key, 8 key, and then enter the function as, Y 1 = nDeriv ( ( 15.0 / ( 1 + 8.6 ( 1.8 ) ^ − X ) ) ,X,X ) . Step 4: Use WINDOW to set the interval X ∈ ( 0 , 8 ) and Y ∈ ( 0 , 2.5 ) as, Xmin = 0 Xmax = 8 Xscl = 2 And Ymin = 0 Ymax = 2

Bundle: Finite Mathematics and Applied Calculus, Loose-leaf Version, 7th + WebAssign Printed Access Card for Waner/Costenoble's Finite Math and Applied Calculus, 7th Edition, Single-Term

7th Edition

ISBN: 9781337604963

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

See similar textbooks

Videos

Question

Chapter 12.2, Problem 71E

To determine

To graph: The derivative of the function A(t)=15.01+8.6(1.8)−t percent for 0≤t≤8, where t is the number of years after the start of year 2000. Also find the year during which the derivative contains an absolute maximum and the value of the derivative at this point. Give the explanation for the answer.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.2, Problem 70E

Chapter 12.2, Problem 72E

Students have asked these similar questions

A certain investment is subject to continuous compounding. The value of the investment after t years is given by V = 4000e0.04t dollars. (a) Make a graph of the value of the investment over the first 20 years. (b) Is the graph concave up or concave down? concave upconcave down Explain in practical terms what the concavity means. The value of the investment is increasing at an increasing rate, so it grows more rapidly in later years than in earlier years.The value of the investment is increasing at a constant rate, so it grows at the same rate in later years as it does in earlier years. The value of the investment is decreasing at an increasing rate, so it shrinks more rapidly in later years than in earlier years.The value of the investment is increasing at a decreasing rate, so it grows less rapidly in later years than in earlier years.The value of the investment is decreasing at a decreasing rate, so it shrinks less rapidly in later years than in…

Alzheimer's Disease The graph below shows the projected number of people aged 65 and over in the United States with Alzheimer's disease. Estimate and interpret the derivative in each of the following years. Source: Alzheimer's Disease Facts and Figures. (a) 2000 (b) 2040 (c) Find the average rate of change between 2000 and 2040 in the number of people aged 65 and over in the United States with Alzheimer's disease. 12 10 6. 2010 2020 2030 2040 2050 Year Number of People Aged 65 and over with Alzheimer's Disease (millions)

Is the instantaneous weight growth rate at week 16 greater or smaller or the same than the average rate of change of weight over the 40-week period? What about at week 36?

Chapter 12 Solutions

Bundle: Finite Mathematics and Applied Calculus, Loose-leaf Version, 7th + WebAssign Printed Access Card for Waner/Costenoble's Finite Math and Applied Calculus, 7th Edition, Single-Term

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Solution Summary: The author analyzes the derivative of the function A(t) with a Ti-83 calculator.

Videos

Want to see the full answer?

Chapter 12 Solutions