Linear Algebra Matrix of a Linear Transformation The matrix form of the linear system $\dfrac {dx} {dt}=3x-5yand\dfrac {dy} {dt}=4x+8y^{1s}$ $\left(a\right)\dfrac {d} {d1} \begin{cases} x \\ y^{\right)}=\left(3-5\right)\left(x\right) \\ 4 \\ 8 \\ y \end{cases} $ $8$ $\left(b\right)\dfrac {d} {di} \begin{cases} x \\ y^{\right)}=\left(3 \end{cases} $ $4$ $-5^{\right)} \begin{cases} x \\ \right) \\ y \end{cases} $ $\left(c\right)\dfrac {d} {d} \begin{cases} x \\ \right)=\left(3 \\ y \end{cases} $ $4$ $-5\right) \begin{cases} x \\ y^{\right)} \end{cases} $ $8$ $\left(d\right)\dfrac {4} {d} \begin{cases} 4 \\ 8 \\ x \\ y^{\right)}=\left(3-5\right)\left(x\right) \\ y \end{cases} $ $ME-CATE-2014\left(1\right)$

The is the statement of the Mean Value Theorem from your $te\times tb00k$ $Tneoren$ $m4.5$ $Ne8n$ Value Theorem Let f be continuous over $leclose$ interval $\left(a.b\right)aod$ $i$ $eo$ $xd$ $csnlc$ $\left(ab\right)$ $mmd$ exists at least one point cE $\left(a.b\right)$ $si1dhtba$ $f^{'}\left(c\right)=\dfrac {f\left(b\right)-f\left(a\right)} {b-a}$ What is the geometric interpretation of the conclusion of the theorem? O The tangent line to the graph of \(f\left(x\right)\) at $l\left(c1\right)$ is parallel to the secant line connecting \(\left(a,f\left(a\right)\right)\) and \(\left(b,f\left(b\right)\right)\). O The tangent line to the graph of $\left(f\left(lef\left(x\left(right\right)$ at \(c\) is the secant line connecting \(\left(a,f\left(a\right)\right)\) $ana$ \(\left(b,f\left(b\right)\right)\). O The tangent line to the graph $of$ $\left(f\left(leF\left(x\left(right\right)\left(\right)at1\left(c1\right)is$ perpendicular to the secant line connecting \(\left(a,f\left(a\right)\right)\) and A(\left(b,f\left(b\right)\right)\). O The tangent line to the graph of $\left(fleH\left(x\right)nght\right)\right)\right)$ $at$ $\left(c\right)\right)ishoizonta|$ $Tnere$ is more than one tangent line to the graph $0no$ $\left(flcf\left(x\right)night\right)\left($ $at1\left(c1\right)$

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