MATH 100 Lecture Notes - Lecture 1: Piecewise, Polynomial, Asymptote

• School: UBC
• Department: Mathematics
• Course: MATH 100
• Professor: Dragos Ghioca

Document Summary

Trigonometry (important: webwork expect radians) + graphs f(x) is odd when f(-x) = -f(x) sin function f(x) is even when f(-x) = f(x) cos function. A particle is moving on the y-axis and at time t=1 (seconds) it reaches y=3 (meters) and at time t=5 when it is at y=19. What"s the a(cid:448)erage (cid:448)elo(cid:272)ity (cid:271)et(cid:449)een t=1 and t=5. Find the equation of the secant line between x=1 and x=3. What is the slope of the tangent line at x=1? (first principle of differentiation) Note: m = tan (angle) y/ x y-yo = m(x-xo) Note: slope of tangent = limit of slopes of secant lines. Limit definition: for a function g(x) and a real point x=a, we say that the limit of g(x) as x approaches a is l and we write lim (cid:1859)(cid:4666)(cid:4667)=(cid:1838), if the values of g(x) approach l as x approaches a. = + 5 = 11/2 r, if r is a positive integer.