A mass M is connected to a spring with constant Ks and a dam…

A mass M is connected to a spring with constant Ks and a damper with constant Kd, and is moving with displacement x with friction Kf. Assume the input if the force f. Find the model of the following mass-spring-damper systems in the state space (find the matrices A). 

  The economy of the US is  and the value of national output…

  The economy of the US is  and the value of national output equals $ .  Determine the quantity of gross investment for equilibrium when  spending   equals $ , government purchases of goods and services equals $ , the difference between exports and imports equals $ , and the government decided to spend $ to purchase 5 made in     instead of 2 made in    . Calculate and enter the amount of gross investment for equilibrium.   Enter your answer as a whole number. Do not enter units. Do not enter “$”, commas, or decimals.

Use the data in the table, which shows the character states…

Use the data in the table, which shows the character states for four different traits (nucleotides for four base-pair locations in gene X) for in five different species, to answer the following questions.    Trait: Species X Species Q Species R Species W Species Y Coat Color brown brown gray brown – Ear Length short short long medium – Tail Length long long long long – Snout Length long short medium extra long – Wings yes yes yes yes yes