Topic
Q:
Gegeben ist eine weitere Funktion h. mit der Gleichung \( h(x)=0,5 x^{3}-4 x^{2}+6 x+2 \)
74 a) Untersuchen Sie den Graphen von \( h \) auf mögliche Wendepunkte.
Q:
In a class of 40 leamers, 32 take Mathematics, 23 History and 4 do
not take Mathematics or History.
Draw a Venn diagram to illustrate the given information.
How many learners take Mathematics and History
Determine the Following:
the probability that a learner takes History and Mathernatics.
the probability that a learner does not take Mathematics.
How many learners take History but not Mathematics?
Q:
-11) \( \frac{22^{4} \cdot 8^{4}}{121^{4} \cdot 4^{6}}= \)
Q:
Solve for \( r \).
\( 3^{r}+3^{3-r}=28 \)
Q:
5. [12 marks] Using calculus and showing all your working, sketch the function
\[ f(x)=\frac{x}{x^{2}-4} \]
noting the domain of \( f(x) \), any intercepts or asymptotes, symmetry, regions where the
function is increasing or decreasing and any relative extrema. Note: You don't have to
consider the second derivative and concavity.
Q:
S. Lee y responde.
164. Un terreno con forma rectangular tiene 96 me-
tros de largo y 56 metros de ancho. Si se quiere
dividir el terreno en superficies cuadradas que
tengan la mayor área posible, ecuáles son las
dimensiones de cada superficie cuadrada?
Q:
a class of 40 learners, 32 take Mathematics, 23 Hist
ot take Mathematics or History.
Draw a Venn diagram to illustrate the given information
How many learners take Mathematics and History
Determine the Following:
the probability that a learner takes History and Mathen
the probability that a learner does not take Mathematic
How many learners take History but not Mathematics?
Q:
6. Six classes, each with 38 pupils, went on an excursion. If one teacher way
required to supervise 15 pupils, how many teachers were needed on the
excursion?
Q:
MAS182 - Applied Mathematics
13. Final Examination - S1 2021
The water content \( W(t) \) (measured in grams) in the cheese is governed by the differential
equation
\[ \frac{d W}{d t}=-(W-100)^{2} \]
with initial condition \( W(0)=200 \mathrm{~g} \) and time is measured in hours.
Q:
5. Box \( A \) has a mass of \( 3 \frac{3}{8} \mathrm{~kg} \). The mass of Box \( B \) is \( \frac{5}{6} \) the mass of Box \( A \).
How much heavier is Box \( A \) than Box \( B \) ?
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