Suppose the equation \( 4=x+x^{-1} \). What is the value of \( x^{4}+x^{-4}=\square \) \( \begin{array}{llll}\text { A) } 192 & \text { B) } 172 & \text { C) } 194 & \text { D) } 212\end{array} \)

Make \( d \) the subject of the relation in \[ W=M \sqrt{\frac{\left(D^{2}+d^{2}\right)}{2 d^{2}}} \]

Make d the subject of the relation in \[ W=\sqrt{\frac{\left(\Delta^{2}+d^{2}\right)}{2 d^{2}}} \]

275. Використовуючи властивості віднімання, спрости вираз: \( \begin{array}{ll}\text { 1) }(37+a)-12 ; & \text { 2) }(b+415)-300 ; \\ \text { 3) } 42-(x+13) ; & \text { 4) } 517-(412+y)\end{array} \)

The sum of the first three terms of an arithmetic sequence is 15 and their product is 80. Determine the first threc terms.

\( 0.07=e^{\frac{-\pi x}{\sqrt {1-x^{2}}}} \)