Soda-lime glass is the most common type of glass manufactured in the world. The "soda" in soda-lime glass does not come from a soft drink. Instead, it comes from a substance called soda ash (Na2CO3). Soda ash is made using the Solvay process, which was developed in the 1860s. In this process, soda ash and calcium chloride (CaCl2) are made from sodium chloride (NaCl) and calcium carbonate (CaCO3)

According to social exchange theory, altruistic behaviors benefit the individual who performs them. t/f

The frequency of vibrations of a vibrating violin string is given by f = 1 2l t ρ where l is the length of the string, t is its tension, and ρ is its linear density.† (a) find the rate of change of the frequency with respect to the following. (i) the length (when t and ρ are constant) (ii) the tension (when l and ρ are constant) (iii) the linear density (when l and t are constant) (b) the pitch of a note (how high or low the note sounds) is determined by the frequency f. (the higher the frequency, the higher the pitch.) use the signs of the derivatives in part (a) to determine what happens to the pitch of a note for the following. (i) when the effective length of a string is decreased by placing a finger on the string so a shorter portion of the string vibrates df dl 0 and l is ⇒ f is ⇒ (ii) when the tension is increased by turning a tuning peg df dt 0 and t is ⇒ f is ⇒ (iii) when the linear density is increased by switching to another string df dρ 0 and ρ is ⇒ f is ⇒

Which articulations allow for greatest range of motion?