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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:
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:
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?
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