In 2003, 97 deer were introduced into a wildlife refuge area from which the population had previously been hunted to elimination. By 2006, the population had grown to 129 deer. If this population grows exponentially, find the values of \( a \) and \( b \) in the formula for the function \( f(x)=a \cdot b^{x} \) \( a=\square \) and \( b=\square \) Round \( a \) to the nearest deer, and round \( b \) to one decimal.

What is the rejection zone for a two-tailed hypothesis test with \( \alpha=.05 \) ?

6. কোनো সম্পত্তির \( \frac{3}{4} \) অशশের মূল্য 2100 টাকা रলে \( \frac{4}{7} \) অशশের মূল্য হबে- \( \begin{array}{ll}\text { (a) Rs. } 1500 & \text { (b) Rs. } 1600 \\ \text { (c) Rs. } 1200 & \text { (d) Rs. } 2200\end{array} \)

Use the elimination method to evaluate \( \operatorname{det}(A) \) : \( A=\left(\begin{array}{rrrr}0 & 1 & 2 & 3 \\ 1 & 1 & 1 & 1 \\ -2 & -2 & 3 & 3 \\ 1 & 2 & -2 & -3\end{array}\right) \)

Select the missing conversion factor for the following set of calculations, Assume 22 grams of aluminum sulfide, \( \mathrm{Al}_{2} \mathrm{~S}_{3} \), react with water, \( \mathrm{H}_{2} \mathrm{O} \), to produce aluminum hydroxide, \( \mathrm{Al}(\mathrm{OH})_{3} \), and hydrogen sulfide, \( \mathrm{H}_{2} \mathrm{~S} \). The problem requires that you determine the mass of water, \( \mathrm{H}_{2} \mathrm{O} \), needed for the reaction to occur. \[ \mathrm{Al}_{2} \mathrm{~S}_{3}(\mathrm{~s})+6 \mathrm{H}_{2} \mathrm{O}(\mathrm{l}) \rightarrow 2 \mathrm{Al}(\mathrm{OH})_{3}(a q)+3 \mathrm{H}_{2} \mathrm{~S}(\mathrm{~g}) \] \( 22 \mathrm{~g} \mathrm{Al}_{2} \mathrm{~S}_{3} \times \frac{1 \mathrm{~mol} \mathrm{Al}_{2} \mathrm{~S}_{3}}{150.17 \mathrm{~g} \mathrm{Al}_{2} \mathrm{~S}_{3}} \times \frac{6 \mathrm{~mol} \mathrm{H}_{2} \mathrm{O}}{1 \mathrm{~mol} \mathrm{Al}_{2} \mathrm{~S}_{3}} \times \frac{\square}{\square}=16 \mathrm{~g} \mathrm{H}_{2} \mathrm{O} \)

If \( p \) is true, \( q \) is false, and \( r \) is true, determine the truth value of the statement: Do not use a truth table for this question but you must show how you got your answer. \( \sim[p \rightarrow(q \wedge r)] \)