Recall the development of the one-dimensional heat equation. aside from re-defining the problem to provide clarity and succinctness, we assembled 5 assumptions (a1- a5) and utilized two approaches to arrive at a "good" prototype: the infinitesimal approach and the integral approach. you may wish to refer to jossy's summary and the notes. *ch oose one only, of the two approaches and retrace the development of that prototype. the goal is to show the detailed understanding of the development that permits a ready compounding of the prototype. name the succinct re-definition of the problems: d1, d2, d3, d4. present your "retrace" in tabular form; for each of the 8 equations in the development, name the assumptions that were used. identify precisely where each assumption was used (you may use an abbreviated notation such as al for assumption 1, d1 for definition 1, etc) .in addition, identify exactly where various specifications of the redefined problem (in stepl- identification) were used.

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?