ITT Technical Institute

Framingham, Massachusetts

Quarter 7 Electronics Calculus

Instructor: Paul BurneyName __________________________________

Foundations of Calculus (Test #2)

Instructions:Write all answers on this sheet. Part I and Part II are worth 50% each. That is, 1 is worth 25 points, 2 is 25 points, and 3 is 50 points. Good Luck.

Part I&emdash;Questions

- In the velocity time graph below, if you find the area under the curve from time t=2 to time t=6, you have found the __________________________.

- I made an approximation of the area under the curve in the figure below by making boxes beginning on the lieft and adding up the areas. What are two ways to make a more accurate approximation?

Part II&emdash;Problem

- Find the area under the curve from a to b for the function written below. n is the number of rectangles into which the area should be divided. Show all work.

Ä(x) = 4x^{2}+ 3x - 5 where a=1, b = 5, and n = 8.