Tema
Q:
Given the following two functions:
\[ f(x)=\frac{2 x}{x+1} \]
\[ g(x)=\frac{3 x-1}{x^{2}} \]
Find the limit of the product \( h(x)=f(x) \cdot g(x) \) as \( x \) approaches infinity.
Q:
1) \( 0.3 k \geq 24 \)
2) \( 3 n<\frac{18}{11} \)
Q:
A 25 -year old woman burns \( 350-70 t \mathrm{cal} / \mathrm{hr} \) while walking on her treadmill. Her caloric intake from
drinking Gatorade is \( 135 t \) calories during the \( t \) th hour. What is her net decrease in calories after walking
for 4 hours?
\( \square \)
Q:
You deposit \( \$ 4000 \) each year into an account earning \( 5 \% \) interest compounded annually. How much will you
have in the account in 20 years?
Q:
ai The sides of a big triangle measure 100 m each. The sides of a small triangic
measure 10 m less than the sides of the big triangle.
fipd the perimeter of the big triangle. (ii) Find the perimeter of the smail trian
is the ditference between the two perimeters?
Q:
b) \( (a+\sqrt{b})^{2} \)
Q:
A 25 -year old woman burns \( 350-70 t \) cal/hr while walking on her treadmill. Her caloric intake from
drinking Gatorade is \( 135 t \) calories during the \( t \) th hour. What is her net decrease in calories after walking
for 4 hours?
Q:
The graphs defined as \( g(x)=a x^{2}+q \) and \( f(x)=k^{x}-14 \) both pass
through \( (-2 ; 0) \) on the \( x \)-axis. The \( y \)-intercept of \( g \) is \( (0 ;-5) \).
4.1.1 Write down the equation of the asymptote of \( f \).
4.1.2 Write down the value of \( q \).
1.3 Write down the coordinates of the other \( x \)-intercept of \( g \).
1.4 Determine the equation of \( g \).
1.5 Determine the equation of \( f \).
Q:
Given: \( f(x)=2\left(x^{2}-1\right) \)
Sketch function \( f \) on the diagram sheet.
Clearly show all intercepts with the axes.
Q:
A pylon \( \$ \$ 23.7 \$ \$ \mathrm{~m} \) high casts a shadow \( \$ \$ 46.8 \$ \$ \mathrm{~m} \) long. Determine the angle of
elevation of the sun to the nearest tenth of a degree. 23.7 m high casts a shadow
46.8 m long. Determine the angle of elevation of the sun to the nearest tenth of a
degree. Show answer
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