Circle the eight isoprene units in $\beta$-carotene.

Show that $T \beta=1+T\left(\frac{\partial \ln z}{\partial T}\right)_P$ for a real gas where $\beta$ is the volumetric thermal expansion coefficient.

What is the natural polysaccharide whose repeating structure can be symbolized by GlcUA $\beta(1 \rightarrow 3)$ GlcNAc, with these units connected by $\beta(1 \rightarrow 4)$ links?

How can we estimate the beta of debt?

What is the relative charge for each of the following?

(b) $\beta^{-}$

Uranium-$238$ decays to lead-$206$ through a series of $(a)$ alpha decays. $(b)$ beta decays. $(c)$ gamma decays. $(d)$ some combination of alpha, beta, and gamma decays.

Show that $\beta=\alpha(\partial P / \partial T)_{v}.$

Jenna solved the following problem: Given that $\cos \alpha=-\frac{4}{5}$ with $\pi<\alpha<\frac{3 \pi}{2}$ and $\sin \beta=\frac{5}{13}$ with $0<\beta<\frac{\pi}{2},$ find the value of $\cos (\alpha-\beta).$ Jenna's work is shown below. Do you agree with her solution? If not, explain her error and find the correct solution.

$$\begin{aligned} \cos (\alpha-\beta) &=\cos \alpha \cos \beta+\sin \alpha \sin \beta \\ &=\frac{-4}{5}\left(\frac{12}{13}\right)+\frac{3}{5}\left(\frac{5}{13}\right) \\ &=-\frac{33}{65} \end{aligned}$$

What is the input impedance of the base if $\beta=200$ ?

Determine the reactions at $A$ and $B$ when $\beta=50^{\circ}$.

Does your body use beta-alanine?

Show that $\beta=\alpha(\partial P / \partial T)_{v}$.

What is another name for a beta minus particle?

When to take beta-alanine before a workout?