Topic
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 \( B \) ?
Q:
Write the function whose graph is the graph of \( y=(x+4)^{2} \), but is reflected about the \( x \)-axis.
\( y=\square \) (Simplify your answer.)
Q:
If \( f(x)=\left\{\begin{array}{ll}2 x-5 & \text { if }-2 \leq x \leq 4 \\ x^{3}-4 & \text { if } 4<x \leq 5\end{array}\right. \), find: (a) \( f(0) \), (b) \( f(1),(c) f(4) \), and \( (d) f(5) \).
(a) \( f(0)=\square \)
(b) \( f(1)=\square \)
(c) \( f(4)=\square \)
(d) \( f(5)=\square \)
Q:
3. \( 3 x(4 x-5) \)
Q:
4. Jug A contains 5 times as much water as Jug B. After some water is poured
from Jug A to Jug B, there are 1860 ml of water in each jug. How much water
is poured from Jug A to Jug B?
Q:
\( 19 j-86 \geq 5 \) or \( 27 j-82 \leq 18 \)
Q:
Solve for \( j \)
\( 19 j-86 \geq 5 \) or \( 27 j-82 \leq 18 \)
Q:
9. \( \frac{(-3)^{6} \cdot 27^{3}}{81^{2} \cdot 243} \) ifadəsinin qiymətini hesa
Q:
()) Solve for \( h \).
\( -11 h-12+18 h \geq 2 \) or \( h-18 \geq-10+3 h \)
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