Topic
Q:
Find \( \frac{5}{6}-\left(-\frac{3}{4}\right) \). Write your answer as a mixed number in simplest form.
Q:
Evaluate the integral
\( \int x^{4}\left(x^{5}-7\right)^{8} d x \)
by making the substitution \( u=x^{5}-7 \).
Q:
\( \int _ { 0 } ^ { \frac { 1 } { 2 } } e ^ { x ^ { 2 } } = \)
Q:
Find \( -\frac{8}{15}-3 \frac{4}{5} \). Write your answer as a mixed number in simplest form.
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.
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