International Financial Management Eun 6th Edition Solutions Manual
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Name: International
IB Mathematics HL
Whats Your Position On Vectors?
Position Vectors and Base Vectors
Every point P(x,y) in 2 has a corresponding position vector p , where O is the Origin.
P(x,y)
p
O
The points (1,0) and (0,1) have position vectors i and j respectively
Warm up
I 0:
(a) 19: -l .sn: S-y (m)
3 12
ThepointsP(l.2,3),Q(2,l.0), R(0,5,l)andStbnnapamllelogmm,whereS Poms =(|,5,_2) Al
is diagonally opposite Q.
12 lab]
(3) Find the coordinates of S. [2 marks] I 2
-13 m Fo=[-I] Fs=[4] M
(b) nevectorp
1.
If A is an obtuse angle in a triangle and sin A = 5 , calculate the exact value of sin 2A.
13
Working:
Answer:
.
(Total 4 marks)
2.
Solve the equation 3 cos x = 5 sin x, for x in the interval 0 x 360, giving your answers to
the nearest degree.
Working:
1.
The area of the triangle shown below is 2.21 cm2. The length of the shortest side is x cm and
the other two sides are 3x cm and (x + 3) cm.
x
3x
x+3
(a)
Using the formula for the area of the triangle, write down an expression for sin in
terms of x.
(2)
IB Math SL year 2
Past paper questions Vectors (question set #1)
1.
3
2
Find the cosine of the angle between the two vectors and .
4
1
2.
The vectors i , j are unit vectors along the x-axis and y-axis respectively.
(Total 6 marks)
The vectors u = i
IB HL Vectors Worksheet
Complete the following problems on a separate sheet of paper, showing all your steps.
2.
Find the value of a for which the following system of equations does not have a unique solution.
4x y + 2z = 1
2x + 3y
= 6
x 2y + az =
7
2
(To
Week I : Entrepreneur-ship
Entreprendre (French) to undertake, To commit oneself to and begin (responsibility). To do business
means To begin something and commit to it (be responsible)
The Entrepreneurial Mindset
Internal locus of control
Tolerance for
Measures of
variability
TOPIC 13
Range, variance, and
standard deviation
is considered the easiest to obtain measure of dispersion, since it is just a
RANGE Itmatter
of subtracting the maximum value of the data, minus the minimum
value of the same data.
R
PROBABILITY
Topic 14
Basic principles of probability
It is the procedure in which we observe the results in certain conditions;
these can bedeterministic experiments,which is when we have the
EXPERIMENT same result as long as we are under the same conditi
Measures of central
tendency
Topic 12
Central tendency measures are
divided in 2 groups
ungrouped data and grouped data
ungrouped
data
MEAN, MEDIAN, MODE
MEAN
Problem 1
Find the mean of these values: 3, 3, 4, 5,
6, 7, 8, 9, 9, 9
ungrouped
data
MEAN, MEDIA