Tema
Q:
Proporre un esempio di funzione \( g(x) \) tale che
\[ \lim _{x \rightarrow+\infty} \frac{g(x)}{3 \log ^{2} x+1}=+\infty \]
Q:
1)
\( f(x)=\sqrt{\frac{2}{\sqrt[x]{e 6 x+1}}} \)
Q:
\( \lim _ { n \rightarrow + \infty } \frac { n ^ { 5 } + \sin n } { 3 ( \arctan n ) n ^ { 5 } } \)
Q:
s] Using calculus and showing all working, graph the function
\[ f(x)=\frac{x+2}{x^{2}-1} \]
Q:
asymptotes of \( f \).
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:
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:
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:
Decide whether the following statement is true or false.
The cube function is odd and is increasing on the interval \( (-\infty, \infty) \).
Choose the correct answer below.
False
True
Q:
\( ( e ^ { x } - \sin y ) d x + ( \cos y ) d y \)
Pon a prueba tus conocimientos sobre Cálculo!
Seleccione la respuesta correcta y verifique su respuesta
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