The orbital period of an object is 2 × 107 s and its total radius is 4 × 1010 m.
the tangential speed of the satellite, written in standard notation, is
⇒ 12,560 m/s.

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 ⇒

Being able to see a square in the middle of the image despite not having lines to form a square represents the gestalt principle of a. proximity b. similarity c. closure d. continuity

Sometimes questions that involve graphs will ask you to consider the effect of a changing factor or factors. problem​ statement: right arrow the line labeled d1 in the graph to the right shows the number of cups of lemonade that caroline and emily can sell at their lemonade stand at various prices. caroline and emily have noticed that they sell more lemonade when​ it's hotter. click anywhere on the graph to open a window with a control labeled temperature. if you use the slider to change the​ temperature, the line will shift. change the temperature from 80 degrees to 100 degrees. ​question: right arrow at a price of​ $0.50, how many more or fewer cups of lemonade do caroline and emily sell when the temperature is 100 degrees than when the temperature is 80​ degrees? ​(note: indicate the change in cups of lemonade​ sold: fewer will be a negative number and more will be a positive​ number)