MATH 127 : Worksheet 4
Worksheet 4: This worksheet covers sections 3.10, 4.1, 4.3, 4.4, 4.5, 4.7, and 4.8 of the
textbook, which are the pertinent sections for Quiz 4.
1. Use a linear approximation to show that
near the point x = 0.
Exponential Laws: Let a > 0.
p multiplicands of a = a*a* * a = ap
a-p = 1/ ap
ap aq = ap+q
ap / aq = apq
(a / b) p = ap / bp
(ab)p = ap bp
ap/q = q( ap) = (qa) p
( ap) q = ap q = ( aq) p
Base a is positive real number.
All simple exponentials pass (0,1),
Math 127 Dr. Smith Lecture 1 1.1 1.2
I. Section 1.1: Functions
A. Definition of function
1. a mapping f between two sets A
and B, assigning to each element x
in A exactly one element y = f(x)
2. f: AB
B. Representation of function
1. Verbally (descri
Appendix D. Trigonometry
sin = y/r
cos = x/r
tan = y/x = sin /cos
csc = r/y = 1/sin
sec = r/x = 1/cos
cot = x/y = 1/tan
No such thing as sin, cos, tan without an
Unit Circle (x,y) on the circle is (cos , sin ).
Quadrants numbered I