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Questions in Grade College

[Jawaban] Let $f(x)=x^{6 x}$. Use logarithmic differentiation to determine the derivative. $f^{\prime}(x)=$ $\square$ $f^{\prime}(1)=$ $\square$

[Jawaban] Whereas surveillance is thought of as "following," it actually means the continued observance of people, places, and things to obtain information of investigative significance. true false

[Jawaban] Clara Schumann's 1846 piano trio was frequently included on concert programs and was performed at home by amateur musicians. A. True B. False

[Jawaban] We want to find the zeros of this polynomial: [tex]p(x)=\left(2 x^2-9 x+7\right)(x-2)[/tex] Plot all the zeros ([tex]x[/tex]-intercepts) of the polynomial in the interactive graph.

[Jawaban] Which balances the equation $Mg + O _2 \rightarrow MgO$? A. $Mg +2 O _2 \rightarrow 4 MgO$ B. $2 Mg +2 O _2+2 MgO$ C. $2 Mg + O _2 \rightarrow 2 MgO$ D. $2 Mg +2 O _2 \rightarrow 4 MgO$

[Jawaban] The tables show functions representing the path of two rockets launched by different science lab groups. Lab Group A \begin{tabular}{|l|c|c|c|c|c|} \hline Time after Launch (sec) & 0 & 2 & 5 & 8 & 10 \\ \hline Height $( ft )$ & 0 & 48 & 75 & 48 & 0 \\ \hline \end{tabular} Lab Group B \begin{tabular}{|l|c|c|c|c|c|} \hline Time after Launch (sec) & 0 & 1 & 5 & 9 & 10 \\ \hline Height (ft) & 0 & 36 & 100 & 36 & 0 \\ \hline \end{tabular} How do the functions in the tables compare? A. Since the maximums occurred at the same $x$-value, the rockets followed the same path. B. Since the $x$-intercepts are the same for both functions, the rockets followed the same path. C. The rockets were in the air for the same amount of time, but the rocket for group B went higher in the air. D. The rockets traveled the same height in the air, but the rocket for group B was in the air for a longer time.

[Jawaban] Solve the equation. $9 x^2+4=0$ A. $\pm \frac{3}{2} i$ B. $\pm \frac{2}{3} i$ C. $\pm \frac{9}{4} i$ D. $\pm \frac{4}{9} i$

[Jawaban] A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? A. $15 in ^3$ B. $20 in ^3$ C. $25 in ^3$ D. $30 in ^3$

[Jawaban] Read the sentence. 'The squirrel reached for the birdfeeder, for he saw it was filled with an abundance of sunflower seeds.' The word 'for' in the sentence is used as both A. a gerund and an adverb. B. a noun and an adjective. C. a preposition and a conjunction. D. a verb and a demonstrative article.

[Jawaban] Rewrite the product as an exponent: [tex]$p^3 p^{11}$[/tex]