Questions in Grade High-school

Questions in Grade High-school

[Done] 4. [tex]\(\int \frac{(1-\sqrt{x})^2}{\sqrt{x}} \, dx\)[/tex] 5. [tex]\(\int \left(\frac{3}{\sqrt[3]{x}} - \sqrt{x} + \pi\right) \, dx\)[/tex] 6. [tex]\(\int \frac{x^2 + 5x + 6}{x+3} \, dx\)[/tex] 7. [tex]\(\int \frac{1}{x} \, dx\)[/tex] 8. [tex]\(\int \frac{1}{3x^3} \, dx\)[/tex]

[Done] A gaseous reaction 2X(g) → Y(g) is observed to be second order with respect to reactant X. If the half-life of this reaction is 20 minutes when the initial partial pressure of X is 0.4 atm, what will be the half-life when the initial partial pressure of X is increased to 0.8 atm, assuming the temperature remains constant? (A) 5 minutes (B) 10 minutes (C) 20 minutes (D) 40 minutes

[Done] Solve and check $\frac{c-4}{c-2}=\frac{c-2}{c+2}-\frac{1}{2-c}$ The solution is $c=$ $\square$ How many extraneous solutions are there? $\square$

[Done] What is the value of $\left(\frac{3}{4}-\frac{1}{2}\right)+5.25$ expressed as a fraction?

[Done] Line segment $PQ$ is a directed line segment beginning at $P(6, -5)$ and ending at $Q(-2, 4)$. Find point $R$ on the line segment $PQ$ that partitions it into the segments $PR$ and $RQ$ in the ratio $3:2$. A. $\left(\frac{6}{5}, \frac{2}{5}\right)$ B. $\left(\frac{14}{5},-\frac{7}{5}\right)$ C. $\left(-\frac{6}{6}, \frac{2}{5}\right)$ D. $\left(\frac{14}{6}, \frac{7}{5}\right)$

[Done] What is the difference? $\frac{2 x+5}{x^2-3 x}-\frac{3 x+5}{x^3-9 x}-\frac{x+1}{x^2-9}$ $\frac{(x+5)(x+2)}{x^3-9 x}$ $\frac{(x+5)(x+4)}{x^3-9 x}$ $\frac{-2 x+11}{x^3-12 x-9}$ $\frac{3(x+2)}{x^2-3 x}$

[Done] The one-to-one functions [tex]g[/tex] and [tex]h[/tex] are defined as follows. [tex] \begin{array}{l} g=\{(-8,7),(-7,-2),(4,-8),(6,1)\} \\ h(x)=4 x-13 \end{array} [/tex] Find the following. [tex] \begin{array}{l} g^{-1}(-8)=4 \\ h^{-1}(x)=\frac{x+13}{4} \\ \left(h \circ h^{-1}\right)(-5)=\square \\ \hline \end{array} [/tex]

[Done] Which graph is represented by this equation? [tex]$x+y^2+6 y+3=0$[/tex]

[Done] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

[Done] The final step of judging an advertisement's effectiveness is to A. identify its target audience. B. identify its media technique. C. determine why it worked or why it did not. D. explain how it could have been improved.