Math 5A Test 3 Study Guide.pdf - Math 5A Test 3 Study Guide Material Definitions to Memorize \u25cf Horizontal Asymptote The line y = L is called a

Math 5A Test 3 Study Guide.pdf - Math 5A Test 3 Study Guide...

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Math 5A Test 3 Study Guide Material Definitions to Memorize: Horizontal Asymptote - The line y = L is called a horizontal asymptote of the curve y= f(x) if either or Antiderivatives - A function F is called an antiderivative of f on an interval I if for all x in I. Area - The area A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectangles: The definite integral - if f is a function defined for , we divide the interval [a,b] into n subintervals of equal width . We let be the endpoints of these subintervals and we let be any sample points in these subintervals, so lies in the ith subinterval . Then the definite integral of f from a to b is , Provided that this limit exists and gives the same value for all possible choices of sample points. If it does exist, we say that f is integrable on [a,b]. Area or region under graph - Theorems/rules to memorize The first derivative test - suppose that ‘ c

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