## Assignment #4

2. I have been observing the motion of a bug that is crawling on my graph paper. When I started watching it was at the point (1,2). Ten seconds later it was at (3,5). Another ten seconds later it was at (5,8). After another 10 seconds it was as (7,11).

(a) Draw a picture that illustrates what is happening.

(b) Write a description of any pattern that you notice. What assumptions are you making?

(c) Where was the bug 25 seconds after I started watching it?

(d) Where was the bug 26 seconds after I started watching it?

(a) Draw a picture that illustrates what is happening.

(b) Write a description of any pattern that you notice. What assumptions are you making?

(c) Where was the bug 25 seconds after I started watching it?

(d) Where was the bug 26 seconds after I started watching it?

## Assignment #10

4. A bug is moving along the line 3x+4y=12 with constant speed 5 units per second. Find parametric equations to describe the line 3x+4y=12. Use your equations to find coordinates for the point that is three-fifths of the way from (4,0) to (0,3) by substituting T=3/5. By calculating some distances, verify that you have the correct point.

## The Slice-Form Project

For this project we made a 3D prism and had to use concepts we learned about surface area and volume to find the various measurements throughout our shape. We found the base area, the lateral surface area, and the total surface area. Also we found the volume of the prism, by calculating the perimeter of the shape and multiplying it by the depth.
What I liked about this project was the creativity and freedom of designing your own shape. My shape is supposed to be a building design inspired from my recent Spanish project about Antoni Guidí who is an architect. Many of the students including me at first went way too ambitious because creating a slice form is no easy task. That’s why my shape now is very simple. To find the surface area of the shape we had to break the main shape into sections. The triangles and quadrilaterals were pretty easy to calculate, but the challenging part was finding the area of the circles. Normally I am used to dealing with a complete circles, but not sections of circles. To do this I had to find the angle of the circle divided by 360, and multiply it by the radius times pie. Then once you gat all your areas adding them together correctly and accurately was also challenging. This project thought me patience. It took hours upon hours of drawing and cutting. I had to endure many hand cramps and paper cuts but after the project I felt pretty awesome with my new calluses. |