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Mathematical quiz displaying formulas using LaTeX/MathML.
This quiz can only be presented correctly by a browser capable of displaying mathematical formulas, e. g.
Mozilla
.
This quiz tests your knowledge in the field of "Advanced Calculus".
Question number
1
.
sin
0
=
Question number
2
.
tan
(
π
/
4
)
=
Question number
3
.
cos
(
π
)
=
Question number
4
.
sin
2
x
+
cos
2
x
=
Question number
5
.
The sine function is an:
increasing function
decreasing function
non-monotonous function
Question number
6
.
Which of the following statements are associated (click 2 buttons):
y
=
sin
x
y
=
cos
x
y
=
tan
x
y
'
=
sin
x
y
'
=
-
cos
x
y
'
=
-
sin
x
y
'
=
cos
2
x
Question number
7
.
Which of the following statements are associated (click 2 buttons):
y
=
ln
x
y
=
e
x
y
=
x
y
'
=
x
y
'
=
x
y
'
=
e
-
x
y
'
=
1
/
x
2
y
'
=
1
/
x
Question number
8
.
Can
ln
(
a
/
b
)
be rewritten:
ln
a
+
ln
b
ln
a
⋅
ln
b
Nothing simpler
Click a button..
Question number
9
.
Can
ln
(
a
+
b
)
be rewritten:
ln
a
/
ln
b
ln
a
-
ln
b
Nothing simpler
Question number
10
.
To which of the following expressions can you rewrite
(
x
a
)
b
:
x
a
+
b
x
a
⋅
x
b
x
(
a
b
)
x
a
⋅
b
Question number
11
.
Which of the following expressions corresponds to
e
a
+
b
:
e
a
+
e
b
e
a
⋅
e
b
None of these expressions
Question number
12
.
Is
|
5
|
5 or
±
5
Question number
13
.
Is
9
equivalent to:
3
±
3
Question number
14
.
Reduce the fraction
x
2
-
y
2
x
-
y
Enter 3 characters separated by blanks:
Question number
15
.
Which of the following statements is/are correct:
f is continuous
⇔
f is differentiable
f is continuous
⇒
f is differentiable
f is continuous
⇐
f is differentiable
none of the assertions above.
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