1. Miss Battaglia AB/BC Calculus

2.  Very advanced algebra and geometry  Look at the two pictures, the problem in both cases is to determine the amount of energy required to push the crate to the top. calculus problem regular math problem things are constantly changing unchanging force/unchanging speed Precalculus Mathematics Limit Process Calculus

3.  Find the slope of the tangent line at P m sec =

4.  Approximate the area of the region  As you increase the number of rectangles, the approximation becomes better and better.

5. x -.2-.0015-.000270.00002.008.01.5 f(x) 3.0522.7202.718 2.7072.7052.25 x approaches 0 from the left f(x) approaches e x approaches 0 from the right f(x) approaches e Suppose you are asked to find

6. x-.05-.03-.010.01.03.05 f(x) Use the table on the calculator  Evaluate the functionat several points near x=0 and use the results to estimate the limit

7.  Find the limit of f(x) as x approaches 2, where f is defined as

8.  Show that the limit does not exist

9.  Discuss the existence of the limit

10.  Discuss the existence of the limit.

11. 1. f(x) approaches a different number from the right side of c than it approaches from the left side. 2. f(x) increases or decreases without bound as x approaches c. 3. f(x) oscillates between two fixed values as x approaches c.

13.  Read 1.1 and 1.2  Page 54 #1, 3, 11, 13 (use table on calculator), 15-33 all, 35, 46