Homework Sourse1 The following figure shows the velocity of a car e Give an
1. The following figure shows the velocity of a car.
(e) Give an approximate value for the estimate.
Enter your answer rounded to one decimal place.
------------------------------------------------------------------------------------
2. Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks his speed every 15 minutes. Roger starts out strong, but after an hour and a half he is so exhausted that he has to stop. Jeff’s data follow:
------------------------------------------------------------------------------------
3. The following table gives the total world emissions of CO2 from fossil fuels, in billions of tons per year.1
------------------------------------------------------------------------------------
4. Round your answer to one decimal place.
------------------------------------------------------------------------------------
5. In this problem annual income for ages 20 to 80 is given graphically. People sometimes spend less than their income (to save for retirement) or more than their income (taking out a loan). The process of spreading out spending over a lifetime is called consumption smoothing.
------------------------------------------------------------------------------------
6. Find the antiderivative
------------------------------------------------------------------------------------
7. A cup of coffee
------------------------------------------------------------------------------------
These are the last problems I have been struggling with, and any help is greatly appreciated!
Solution
1)
function is decreasing
x =(12-0)/6 =2
lower estimate =x[f(2)+f(4)+f(6)+f(8)+f(10)+f(12)]
lower estimate =2*[2.8+2.1+1.5+1+0.8+0]
lower estimate =16.4
============================
upper estimate =x[f(0)+f(2)+f(4)+f(6)+f(8)+f(10)]
upper estimate =2*[4+2.8+2.1+1.5+1+0.8]
upper estimate =24.4
estimate of distance travelled =[lower estimate+upper estimate]/2 =[16.4+24.4]/2
estimate of distance travelled =20.4
