Tema
Q:
Evaluate the integral
\( \int(2 x+5)\left(x^{2}+5 x+5\right)^{5} d x \)
by making the substitution \( u=x^{2}+5 x+5 \)
\( +C \)
Q:
Given \( f(x)=\frac{-2}{x}-2 \), Answer the following questions:
.1 Write down the equations of the asymptotes of \( f(x) \).
2 Draw a neat sketch graph of \( f(x) \), clearly indicate the asymptotes
and the intercepts with the axes.
.3 Write down the domain and range of \( f(x) \).
Q:
GuidedPractice
1A. \( y=2 x+3 \)
\( y=-2 x-5 \)
Q:
Find \( -\frac{7}{8}-2 \frac{1}{6} \). Write your answer as a mixed number in simplest form
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:
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?
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