Topic
Q:
Hallar el dominio de la siguiente función:
\( f(x)=\frac{1}{\sqrt{x^{3}+2 x^{2}-3 x}} \)
Q:
\[ T=2 \pi \sqrt{\frac{L}{32}} \]
How long is a pendulum that takes 35 seconds to complete a full cycle? Spell out
the applicable unit.
Q:
In 2015 , the U.S. population was 167 million and was growing at a rate of \( 0.5 \% \) each
year. Using an exponential growth model, in what year will the population reach 260
million? Round up to the nearest year.
Q:
Logaritmik funksiyanın \( f(x) = \text{\log}_2(x) \) qrafikini təsvir edin.
Q:
24. The population of a town is growing
exponentially. In 2020 , the population was
5,000 . If the population is expected to double
every 5 years, what will the population be in
2035 ?
A. 10,000
B. 20,000
C. 40,000
D. 80,000
Q:
4) The water depth in a harbor is 21 m at high tide and 11 m at low tide. One
cycle is completed every 12 hours.
a) Find an equation for the water depth as a function of time starting at
high tide.
b) Determine the time (s) when the water depth reaches a height of 15 m .
Q:
8. What function models the height of the
periscope lens at time \( t \) ? If the periscope
reaches its maximum height after ascending for
22 seconds, what is the maximum height in feet?
Q:
8. Expand
\[ \ln \left(\frac{2 x^{3} y^{3}}{w z^{5}}\right) \]
into the sum and/or difference of multiple logarithms.
Q:
6-8. A small town has a current population of 10,000 people. The
population is growing at an annual rate of \( 4 \% \).
a. Write an exponential function model the population \( \mathrm{P}(\mathrm{t}) \) after t
years.
b. Using the function, calculate the expected population after 5 years.
Q:
De la siguiente función: \( Q(x)=\frac{6 x^{2}+2 x-1}{3 x^{2}-x-7} \). Se pide:
a. Determine las intersecciones de la gráfica con los ejes X e Y . ( 1 Pto)
b. Determine las ecuaciones de las Asíntotas Horizontal, vertical y oblicua si existiesen (1 Pto)
c. Bosqueje su gráfica
(1 Pto)
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