Complete my part of Algebra Group Project

Problem 10

oThe total time T (in hours) of the trip as a function of the distance x (in miles). Make sure you show all your work to come up with this equation, and explain each step and what it represents.

oThe domain of the function. Explain why this domain makes sense, and show work as needed.

oGraph the function using the graphing utility on Desmos.com. Take a screenshot and make sure it is included in your document. The graph should be focused over the domain of the function.

oFind the value of x that minimizes T. Desmos.com will note this ordered pair for you automatically. If it does not, then you can click various points of the graph and it will display the ordered pair.

oWhat does the ordered pair of the minimum for T represent in our situation? I.E. what does the value of x tell us, and what does the value of T tell us? Write a brief paragraph interpreting these values.

Reflection on the project as a whole

oProcess for each problem

§Did your idea for solving this work?

§Did you have to get help or try different methods?

§Was this problem easy? Hard?

§Share anything else you have to say

about the problems

oWorking with a partner (WORKED WELL TOGETHER)

§Were you and your partner able to communicate well? (YES)

§What technology did you use to meet and communicate? (COMMUNICATED THROUGH EMAIL AND TEXT)

§How did you split up work? Did that work well? (PARTNER DID NUMBER 6 I DID NUMBER 10)

§Share anything else you have to say

oYour successes and failures throughout this entire project

10. Trip Time You are in a boat 2 miles from the nearest
point on the coast (see figure). You plan to travel to
point Q, 3 miles down the coast and 1 mile inland. You
row at 2 miles per hour and walk at 4 miles per hour. .
13. Associa
Show t
composit
(f° (gº
14. Graph
function
2 mi.
an enlar
X
3-X
1 mi
3 mi
Not drawn to scale
(a) Write the total time T (in hours) of the trip as a
function of the distance x (in miles).
(b) Determine the domain of the function.
(c) Use a graphing utility to graph the function. Be sure
to choose an appropriate viewing window.
(d) Find the value of x that minimizes T.
(e) Write a brief paragraph interpreting these values.
11. Heaviside Function The Heaviside function
(a) f(
(b) f(
(c) 2f
(d) f