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Exam (elaborations)

Uitgewerkte examenvragen van 5 oude examens voor Hogere Wiskunde 2 (HIR)

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This document contains worked solutions from past exams in Hogere Wiskunde II (D0H11A) at KU Leuven's Bachelor Handelsingenieur program, spanning from 2013 to 2020. The solutions cover key topics including multivariable calculus (critical points, Hessian matrices, local extrema), double integrals over regions, and linear algebra (eigenvalues, eigenvectors, matrix analysis). Ideal for exam preparation, these detailed worked examples show the problem-solving approach expected and help you practice similar questions before the actual exam.

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2020 Juni examen
wedge

prod



MKV3 pi
R
S
2
mathbb
subseteq
0 in tau
left
openschijf met middelpuntright pi pi
rightarrow
mathbb
right
cos
left
R
S
2
yxf
Rightarrow
0x
Rightarrow
mathbb
right
vee
left
sin
pi
in
N
D
0
2ykx1f
pi
p
2
y
k
pm
sqrti
sqrt
pm
p3
yi 4is tegroot



matrix
begin
right
end
cos
left
sin
H
0
4
2
yxzf
matrix
begin
right
end
left
H
0
2 Delta
H
0f geen extrema



2 lokale miniem

Rightarrow
matrix
begin
right
sqrt
end
cos
pm
left
p
pi
H
D
0
4
2
1ti 1
D
0
1
Rightarrow D
0
2
Rightarrow
W
E
n
e zadel
matrix
begin
right
end
sqrt
cos
pm
left
pi
H
A
8f
1
0
2
3

D
0
1
Rightarrow D
0
z 2 lokale huren

,OV 4 a

nicefrac
matrix
begin
right
end
left
C
A
0
B
2
n1
b

nicefrac
matrix
begin
right
end
left
C
A
0
B
21
hergeq
C
0
3



nicefrac
matrix
begin
right
end
left
C
A
B
6
1
9
4
8
2
5
3
7
0




geq
m
C
0
3
er




alternerend
Wat je zelfkiestheeftinvloedop jou bij de even rondes

,OV2 1mathbb delta
in
R
alpha
delta
beta
A
V
p
n
gamma
gamma




varepsilon
right
left
S
p
n
e
1
varepsilon

e 61
in
R
1mathbb

NEIN A
V
S
n
1
a
varepsilon
gamma
alpha
delta
right
beta
left
C
2
p
n
e1
varepsilon
gamma
alpha
delta
beta
C
2
p
n
e1
varepsilon
gamma
alpha
delta
right
beta
left
2
p
n1
varepsilon
gamma
alpha
delta
beta
2
p
n1
varepsilon



alpha
delta
right
frac
left
2
varepsilon
b
varepsilon
gamma
matrix
begin
alpha
right
end
left
S
2
yI delta
cdot
beta
frac
n1 t
varepsilon
alpha
delta
right
frac
pm
left
2
x
varepsilon
gamma
alpha
right
frac
left
D
0
4
2
x1 geq
varepsilon 2 de dus
varepsilon
partial
alpha
delta
right
sqrt
frac
pm
left
4
2
x2


v

matrix
begin
right
beta
sqrt
end
left
B
4
S
2
n
y1tI
alpha
delta
right
beta
sqrt
frac
pm
left
V
4
S
2
e1rIjl
gamma
varepsilon

mathbb
matrix
begin
forall
right
cdot
beta
sqrt
end
left
in
G
N
0
B
4
S
3
P
2n
cy1I 9PM


matrix
begin
right
cdot
beta
sqrt
frac
end
left
G4
3
2
n
c1
right
cdot
beta
sqrt
frac
left
C
4
B
3
2
n1

, 2013 examen
0
x
1
sqrt
2
yx1
Rightarrow
OV 1o 0
y




matrix
begin
right
cdot
end
sqrt
frac
int_
left
D
d
2
1
0
y
x




frac
2
1


OV2 in
Ra
mathbb




begin
right
end
left
A
0
2
a1
matrix 3
a
lambda



lambda
matrix
begin
right
end
det
left
A
0
2
a1Ilambda matrix
begin
right
end
left
0
2
0
3
2
ax1
a
x
1
Rightarrow
right
cdot
left
0
2
a1
lambda
right
left
0
a
0
3
2
a
x
0
3
2
a
x
3
2
ax1
eigen waarden right
left
0
3
2
a
x 0a right
left
2
a1
Rightarrow
0
1
lambda 0
1
lambda lambda
3
2
a als
right
left
0
1
Rightarrow
2
a
lambda moet de

matrix
begin
right
end
left
0
3
2
ax1 Rightarrow
mathbb
right
left
iR
0
b
1n
0
3
2
ax matrix
begin
right
end
left
0
3
2
ax1 0
2
a
x1

right
left
3
2
ax1
0
3
2
a
x
Rightarrow




niet e 0 Rightarrow
0
3
2
a
x
nietals
04v10 right
left
3
2
a
x

Rightarrow
right
left
0
a1

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Uploaded on
May 26, 2026
Number of pages
32
Written in
2022/2023
Type
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Contains
Questions & answers

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