Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

I need help on these questions Problem 3. (1 point) In the function P(t) = 309.3 . 1.008, P represents the population in millions and

I need help on these questions

image text in transcribed
Problem 3. (1 point) In the function P(t) = 309.3 . 1.008, P represents the population in millions and t represents the number of years since 2010. Find the population in 2016 and the rate at which the population is growing in 2016. Use h = 0.001 to estimate the derivative with the difference quotient. The population in 2016 is million. The rate at which the population is growing in 2016 is million people per year. ( Keep ALL decimal places on both parts. ) Hint: The population in 2016 is P(6). The rate of change in 2016 is P' (6). Note: You can earn partial credit on this problem. Problem 4. (1 point) PART 1. Using the definition of derivative, f'(x) = lim f(I th) - f(x) , find the slope of the tangent to the curve at the given point. h-0 h f(x) = 8x2 - 8x - 7; 1= -6 The slope of the tangent to the curve at x = -6 is Enter a numeraical value for the slope. PART 2. The equation of the line tangent to the curve at x = -6 is Type answer in form y = ma + b. Note: You can earn partial credit on this

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Mathematics For Liberal Arts Majors

Authors: Christopher Thomas

1st Edition

0071544305, 9780071544306

More Books

Students also viewed these Mathematics questions

Question

Why did Twitter change its business model? LO.1

Answered: 1 week ago

Question

=+ Identify the ethical dilemma in this scenario.

Answered: 1 week ago

Question

8. What are the costs of collecting the information?

Answered: 1 week ago