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Which of the following rational numbers are equivalent? $0Ptionsy$ A \frac{5}{6}, \frac{30}{36} B $s\sqrt{rac\left(} -2\right)\left(3\right)\sqrt{1rac} \sqrt{4\right)16\right)4} $ C $s\sqrt{11aC\left(} -4\right)1-7b,\sqrt{1rac\left(16\sqrt{35\right)9} } $ D \frac{1}{2},\frac{3}{8}

Using the \emph{removal of first derivative} method, the differential equation \( \frac{d^{2}y} $\left(d\times n$ $\left(2\right)\right)+P|ffac\left(dy\right)\left(dx\right)+Qy=F$ $dx\right)+Qy=RN\right)$ is transformed as \). For, the differential equation \frac{d^{2}y} $\left(d^{n}\left(2\right)y\right)$ $dx$ $\left(2\right)+2x$ $\left(0C\left(dy\right)\left(dx\right)+\left(x$ $2+1\right)y=\times n3+3x\right)$ the value of $\left(11\right)$

$\right)c$ $c$ $co$ $3c3x$ $x$ Question 2 $1pts$ For each of the following questions, clearly select the ONE correct answer. Which of the following functions is increasing on the interval $\left(0,1\right)7$ $Ap$ $Ass$ Coe $-lnlef\left(x\right)ngh$ Col $x-ln\left(x\right)$ $x-1$ $Co$ $○y$ $xcos\left(2x\right)$ Diff Eva $O-\dfrac {3x} {x-1}-1trac\left(3x\right)\left(x-1\right)$ Fac Inte $○x$ $x$ $ln\left(x\right)$ Lim Seri Sim Solu $Ne\times t$ > Con $Con$ $Con$

In the following problem $a,b,$ b,and c represent REAL NUMBERS. The derivative of $g\left(x\right)=log _{a}\left(bx\right)+cx^{2}is$ $○$ $g^{1}\left(x\right)=\right)dfrac\left(b\right)log _{-}a\left(bx\right)\right)\left(N1n$ $a\right)+2cx1\right)$ $○$ $\left(g\left(x\right)=\right)dtracb$ $loga\left(bx\right)+2c\times \right)Nln$ a}\) $○$ $g^{'}\left(x\right)=\left(dfraC\left(a\right)log _{-}a\left(bx\right)\right)\left(ln$ $\right)+2c\times 1\right)\right)$ $○$ $g^{1}\left(x\right)=\left(dfrac\left(b$ $log _{-}a\left(bx\right)\right)\left(ln$ $a1\right)$ $○$ $\left(\left(g^{1}\left(x\right)=b$ $log _{-}a\left(bx\right)+2cx1\right)$ $○$ $g\left(x\right)=\left(dfrac\left(b$ $log _{-}a\left(bx\right)\right)\left(1ln$ $a|+2c1\right)$

$11.$ Question $11$ Solve the $:$ $folloMlng'$ $0<θ<90^{°}$ $\left(1\right)$ $2sin^{2}θ=1\right)$ $\left(rac\left(3\right)\left(2\right)\right)$ $\left(11\right)$ $3tan^{2}θ+2=3$ $\left(111\right)cos^{2}θ$ $11rac\left(1\right)\left(4\right)\right)=$ $c\left(1\right)\left(4\right)\right)=11113c\left(1\right)\left(2\right)\right)$

By ashat skoeld numbershould3\ $\left(\dfrac {3} {5}\right)b$ divided bo $9^{0t}\left(\dfrac {5} {3}\right)^{2}$ $-$ $n|m$