Question

Find the slope of the tangent line to the graph of the function at the given point.

f(x) = 4/3x at (1,4/3)

Determine an equation of the tangent line.

y =

i need belp determing the equation because i got the slope right but not the equation

2.

Mortgage Rates The average 30-year fixed mortgage rate in the United States in the first week of May in 2010 through 2012 is approximated by

M(t) =

55.9

t2 − 0.31t + 11.2

percent per year. Here t is measured in years, with

t = 0

corresponding to the first week of May in 2010.†

(a)

What was the average 30-year fixed mortgage rate in the first week of May in 2011

(t = 1)?

(Round your answer to two decimal places.)

% per year

(b)

How fast was the 30-year fixed mortgage rate decreasing in the first week of May in 2011

(t = 1)?

(Round your answer to two decimal places.)

% per year

3.

Television Viewership The number of viewers of a television series introduced several years ago is approximated by the function

N(t) = (60 + 2t)2/3 (1 ≤ t ≤ 26)

where N(t) (measured in millions) denotes the number of weekly viewers of the series at the end of the t th week. Find the rate of increase of the weekly audience at the end of week 2 and at the end of week 13. (Round your answers to one decimal place.)

week 2 million/week

week 13 million/week

How many viewers were there in week 2? In week 25?

week 2 million

week 25 million

Need help with the last two the most! thank you

Answer 1