Question: 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

I need help on these questions Problem 3. (1 point) In the

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

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!