2.From 2007 to 2014, there was a dramatic increase of smartphone sales. The number ofsmartphones (in millions) sold to end users from 2007 to 2014 is modeled by the functionc(t) = 114.9e0.345t, where t represents the number of years after 2007.a.Find c'(t)b. Find c'(2), and write a sentence interpreting the meaning. Be sure to include units.

Given:- The number of smartphones in millions sold to end users from 2007 to 2014 is modeled by the…

Answered: 2. From 2007 to 2014, there was a…

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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Similar questions

The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
An investment appreciates 2% per year. Originally $5000 is invested. What is an equation for the years since the money is invested as a function of the investment's worth? Ot = log(F/5000)/log(0.02 t = log(F/5000)/log(1.02) Ot = log(F/5000)/log(0.98) t = log(F/5000)/log(-1.02)
Throughout much of the 20th century, the yearly consumption of electricity in the US increased exponentially at a continuous rate of 7% per year. Assume this trend continues and that the electrical energy consumed in 1900 was 1.5 million megawatt-hours. (a) Write an expression for yearly electricity consumption, E, as a function of time, t, in years since 1900. million megawatt-hours (b) Find the average yearly electrical consumption throughout the 20th century. NOTE: Round your answer to the nearest integer. E(t) = million megawatt-hours (c) During what year was electrical consumption closest to the average for the century? NOTE: Round your answer to the nearest integer. During Average Yearly Consumption =
2. Lijah opened an account at Advantis Credit Union. The balance of her account after x years is represented by the function b(x) = 500(1.05)*. What annual interest rate is Lijah earning? а. b. After how many years did it take for Lijah's balance to double? Show all of your work.
please help
2. Suppose someone says that the price of a share of Google stock is a function of time. Translate this into our careful way of defining functions.
For values of x between -2 and +2, sketch the graphs of: a). y=10^x b). y=10^(-x)
A company has a stock valued at A, in millions of dollars, that changes at a rate given bydAdx = 160.807x 0.4161, where x is the number of years since the year 2000. If the value of the stock is$899.66 million in 2000, find the function that models the total amount of stock company A has.

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