Topic
Q:
For each equation, determine whether it represents a direct variation, an inverse variation, or neither.
Find the constant of variation when one exists and write it in simplest form.
Dinect variation
Constant of variation: \( k=\square \)
Constant of variation: \( k=\square \)
Q:
Simplify the radical expression.
\( \frac{\sqrt{24}-\sqrt{27}}{\sqrt{12}-\sqrt{3}} \)
Q:
The antiderivatives of \( f(y)=-\frac{27}{y^{28}} \) are \( F(y)=\square \)
Q:
\( 2 x y=12 \)
Constant of variation: \( k=\square \)
Inverse variation
Constant of variation: \( k=\square \)
Neither
Q:
Simplify the radical expression.
\( \frac{\sqrt{24}-\sqrt{27}}{\sqrt{12}-\sqrt{3}} \)
Q:
Given the following velocity function of an object moving along a line find the position function
with the given initial position
\( v(t)=e^{-3 t}+4 \quad s(0)=3 \)
The position function is \( s(t)=\square \)
Q:
6. \( \int_{2}^{5}\left(x^{4}+5 x^{2}+5+9\right) \cdot d x \)
7. \( \int_{6}^{12}\left(5 x^{2}+3\right) \cdot d x \)
8. \( \int^{25}(\sqrt{x}+x) \cdot d x \)
Q:
\( \int _{}^{}\frac{1dx}{4x^{2}+9} d \)
Q:
\( \left\lvert\, \begin{array}{l}2 x y=12 \\ \text { Direct variation } \\ \text { Constant of variation: } k=\square \\ \text { Constant of variation: } k=\square\end{array}\right. \)
Q:
A 7 A regular hexagon and a regular pentagon have a common edge.
Work out the value of \( a \).
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