Evaluating Limits by Direct substitution

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Solve $y\sqrt{1-x^2}\,dy$ $+$ $x\sqrt{1-y^2}\,dx \,=\, 0$

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Evaluate $\displaystyle \large \lim_{x\,\to\,\frac{\pi}{4}}{\normalsize \dfrac{\sin{x}-\cos{x}}{x-\dfrac{\pi}{4}}}$

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Evaluate $\cos(100^\circ)\cos(40^\circ)$ $+$ $\sin(100^\circ)\sin(40^\circ)$

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Evaluate $\begin{bmatrix} 1 & 2 & 3\\ 4 & 5 & 6\\ 7 & 8 & 9\\ \end{bmatrix}$ $\times$ $\begin{bmatrix} 9 & 8 & 7\\ 6 & 5 & 4\\ 3 & 2 & 1\\ \end{bmatrix}$

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Evaluate ${\begin{bmatrix} -2 & 3 \\ -1 & 4 \\ \end{bmatrix}}$ $\times$ ${\begin{bmatrix} 6 & 4 \\ 3 & -1 \\ \end{bmatrix}}$

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