Topic
Q:
10. A girl swims 400 m in still water and then returns to the initial point (from where she started) in
20 minutes. Determine the speed of the girl.
11. A man is running at a speed of \( 3 \mathrm{~m} / \mathrm{s} \) and covers some distance in 15 sec . Find the time taken by
his pet dog to cover the same distance at a speed of \( 10 \mathrm{~m} / \mathrm{s} \).
Q:
Evaluate the integral by making the given substitution.
\( \int \sec (4 x) \tan (4 x) d x, \quad u=4 x \)
\( +C \)
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. \( y=2 x+3 \)
\( y=-2 x-5 \)
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