CALCULUS 2: FINAL REVIEW SHEET Be able to take all previous tests without error
Section 5.5 The Substitution Rule -Examples p. 392 #30, 32,34,41 Section 5.6 Integration by Parts -Choose u by LIATE! -Examples p. 398 #3,7,10,17 Section 5.7 Additional T
The term percent comes from Latin and means "for every hundred".
So when you hear a statistic such as "10% of all people are left-handed" that
means, for every hundred people, 10 are left-handed.
The percent of a number can be found based on the type of t
Polygon
A polygon is a closed figure made by joining line segments, where each line segment
intersects exactly two others.
Examples:
The following are examples of polygons:
The figure below is not a polygon, since it is not a closed figure:
The figure bel
Divisibility Rules
Dividing by 3
Add up the digits: if the sum is divisible by three, then the number
is as well. Examples:
1.
2. 111111: the digits add to 6 so the whole number is divisible
by three. 87687687. The digits add up to 57, and 5 plus seven is
Simple Interest
Let the annual rate of interest be i (as a fraction, that is 100i percent), the
amount of the principal be P, the number of years be n, and the amount after n
years be A. Then
A = P(1+ni).
If you want to know what principal to deposit in o
Coin Problems
The key to these problems is to keep the quantity of coins distinct from the value
of the coins. An example will illustrate.
Example : Laura has 20 coins consisting of quarters and dimes. If she has a total
of $3.05, how many dimes does she
Prime factorisation
If a natural number is expressed as the product of prime numbers,
then the factorisation of the number is called its prime (or
complete) factorisation.
A prime factorisation of a natural number can be expressed in the
exponential form.
Arithmetic Mean Definition:
Arithmetic mean is commonly called as average. Mean or Average is defined
as the sum of all the given elements divided by the total number of elements.
Formula:
Mean = sum of elements / number of elements
= a1+a2+a3+.+an/n
Exam
Area
The area of a figure measures the size of the region enclosed by the figure. This is
usually expressed in terms of some square unit. A few examples of the units used are
square meters, square centimeters, square inches, or square kilometers.
Area of
A Number is an abstract entity that represents a count or measurement.
All numbers fall in 2 categories Real Number, Complex Number
A Real Number can either be a Rational number or an irrational number.
Rational number can either be Natural numbers or Neg
Tips To Remember Some Values
The values of reciprocal percentages (RP) for 6 is exactly half that for 3 (half of
33.33 = 16.66)
The RP for 8 is exactly half of 4 (half of 25 = 12.5)
Seven is easy to remember just 7 into 2 (14), followed by 14 into 2 (28)