Page 298 - Calculus Workbook For Dummies

282 Calculus Workbook For Dummies

sequences, definition, 243 33333 mnemonic, 265–266
sigma notation, 162–166 Trapezoid rule, 168–170, 273
sign changes, first derivative test, 270 triangles
simplification method, 40–43 area, 12
Simpson’s rule, 168–170, 273–274 geometry review, 12–14
slope. See also derivatives; difference quotient hypotenuse, 12
calculating, 13–14 Pythagorean Theorem, 198–201
calculating average, 105–107 right, 198–201
first derivative test, 269 trigonometric functions, in expressions,
smiles and frowns, curve shapes, 102–105 196–198
SohCahToa right triangle, 198–201 trigonometric substitution, 198–201
speed, 132–134 trigonometry review
speed of change, calculating. See derivatives problems, 22–24
squeeze method, 46–47 solutions, 25–28
substitution method, 185–187
surface of revolution, 227–228 • V •
• T • valleys and hills, curves, 91–97
velocity, 131–134
tangents, 134–137 vertical tangents, 270
telescoping series, convergence/divergence volume, calculating. See integration
testing, 245–246