**You must submit in the W7 Assignment dropbox a Microsoft Word document addressing the following items. **The Week 7 Deliverables will be graded using this rubric and will be worth 200 points.

Problem 6

oWhat are the coordinates of the point (x,y)?

oGive the equation for the path of the ball, showing all work. Explain why you do each step.

oInclude a screenshot of the graph of your equation (use Desmos.com), verifying that it goes through the given points.

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

§Were you and your partner able to communicate well? (PARTNERS NEVER RESPONDED TO MY EMAILS)

§What technology did you use to meet and communicate?

§How did you split up work? Did that work well? (COMPLETED ENTIRE PROJECT ON MY OWN)

§Share anything else you have to say

§Your successes and failures throughout this entire project

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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 у (x, y) receive a of 7% of 2300 per 8 ft TER monthly х ge Wof 12 ft ales S. Figure for 6 as in the section. ? 7. Titanic At 2:00 P.M. on April 11, 1912, the Titanic left Cobh, Ireland, on her voyage to New York City. Iron iceberg 9. Inve f(x) (a) (b) (C) (d) = – (1) 8x are their own inverse functions. Graph each function and explain why this is true. Graph other linear functions that are their own inverse functions. Find a formula for a family of linear functions that are their own inverse functions. 5. Proof Prove that a function of the form = + A2n- 2.x2n – 2 + .. is an even function. 6. Miniature Golf A golfer is trying to make a hole-in-one on the miniature golf green shown. The golf ball is at the point (2.5, 2) and the hole is at the point (9.5, 2). The golfer wants to bank the ball off the side wall of the green at the point (x, y). Find the coordinates of the point (x, y). Then write an equation for the path of the ball. (e) (f) (g g

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