Which source of bias is most relevant to the following situation: A research study funded by a candy company finds that chocolate is good for your health. self-interest study voluntary response bias nonresponse bias or missing data perceived lack of anonymity

Solve the following equation. Give an exact answer. \( \log _{x} 6^{11}=22 \)

\( \left. \begin{array} { l } { 3.900 = } \\ { 0.0094 = } \\ { 0.00945 = } \\ { 9.400 = } \end{array} \right. \)

a) \( 5 x+4=3 x+12 \)

Calculate \( \frac{\partial \vec{w}}{\partial \vec{u}} \),if \( \vec{w}=\binom{w_{1}}{w_{2}} \) where \( \left\{\begin{array}{l}w_{1}=x+2 y \\ w_{2}=3 x+4 y\end{array}\right. \) and \( \vec{u}=\binom{x}{y} \)

Iet the temperature field be \( T(x, y, z)=x+2 y+z \), find the convective dertivative \( \vec{u} \cdot \vec{\nabla} T=u_{x} \frac{\partial T}{\partial x}+u_{y} \frac{\partial T}{\partial y}+u_{z} \frac{\partial T}{\partial z} \) if the velocity field is \( \vec{u}=(2,-1, x) \)