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Summary Calculus, perfect handwriting notes for you. With planty examples and explanation. ISBN: 9781938168079 MAT135 (MAT135) CA$23.07   Add to cart
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Summary Calculus, perfect handwriting notes for you. With planty examples and explanation. ISBN: 9781938168079 MAT135 (MAT135)
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Perfect handwriting notes. Great help for your calculus. It varies from basic formulas and concepts to exciting questions to thoroughly explained examples. I hope this note will help students who need the summary or the examples to understand calculus. Don't forget to have a look at my other course...

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  • November 2, 2022
  • 58
  • 2021/2022
  • Summary

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135
NAT
crawford

, Section 1. I

or
→A
FUNCTION :
A function consists of a set of inputs ( the domain ) i


a set of outputs ( the range ] ,
and a rule for assigning each input to
exactly
one output
☒¥5T horizontal
.



line




µµ ¥4
:
:
Vertical line Two ineeoseoes function
→ one
-
to -
one


if fix , ) -1-1-1×2 ] When Xi =/ X2




(V ) ( X )




{
notation interval noeaiaion

see -
builder notation

D= 15 x )
{
,




D= {✗ 1 a > 5. HER } or D=
{ ✗ c- r I ✗ > 5
} or D= { XIX 53 >




Composite Functions :
If f- and g are functions and
the range of f is a subset of the domain of g ,
then their composition

go f is the function ego f) CXI =
gcfcxs )


If +
g) IX) =
f- Cx) + guy


ftp.gcxlfog-fcglxy-g
f. g =

,Section i. 2

FUNCTIONS :
There are a main to
ways represent
functions .




A table of value


{ A
A

A
formula
graph
word description

Piecewise Defined Functions ( PDF)
-


: is a function
defined by different formulas different parts
of on its domain

°
if
/
§
✗ ✗< I
fcx , = •
= closed
2- ✗ if I E ✗ <3
.

✗ -1 if • ex ⑤
open
=




absolute value function

f-CX ) = 1×1 -

, Mathematical modelling :


* The process life problem formula equations
of translating a real -
into .




* Tries to predict future events .




* Mathematical analysis of a problem / situation .




* using data & observation
/analysing to find outcomes .




* Not always 100% accurate



* Aim for useful enough
it to be accurate enough to be but simple
,




to make computations

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