What is the primary definition of a capital resource in economics?

__________ is the term sociologists use for a small, traditional, rural society. 

All questions below are independent. They are not subparts of a single problem. 

Within 10 mins after the test is over you’ll be asked to submit all your scratch work as a single pdf file.This won’t be graded, but may be used to handle disputes or AIP issues.Make sure they are the same scratch papers that were used in the exam as recorded by the camera. 

Long Question 1 (Total 20 points) Here is a very simplistic model of a sliding door controlled by a dc motor.Motor is attached to a gear box (gear on a linear rack) which converts rotary motion from motor to a linear motion of door. The armature resistance of the motor is R, the armature inductance L=0, the motor torque and back emf constants are both K, and the rotational inertia of the motor’s armature is 0. The torque T of the motor is converted to a force F on door by the gearbox.  F = T/r. The angle θ moved by the motor is converted to the position x of the door by the gear box . x = θ*rThe mass of the door is m. The friction is modelled as a damper c. Your ObjectiveFind the transfer function from the motor voltage V to the door position x. TF =  Kr/(mRrr*ss + (cRrr + KK)s  ) Procedure  Complete the Q1 parts below  

A multivariate data set on office worker productivity is to be collected involving a random sample of 200 employees. The quantitative variables of interest are hours trained (HrsTrn), client satisfaction (ClientSat), and supervisor satisfaction (SuperSat). Let  denote the variable measurement for the employee. (3pts) Using notation consistent with this course, what would the dimension of the data matrix be for this situation? That is, how many rows and how many columns would there be? Also, what would the dimensions of the sample mean vector and the sample covariance matrix be for this situation? (3pts) Would you expect the covariance between  and to be zero or not? What about the covariance between and ? Explain your answers in the context of this situation.

Torah learning spread around the world during the time of the Geonim due to:

From where do the Sages get the authority to formulate laws, and for the Jewish people to accept them?

What three qualifications did the Sages need to be the ‘bearers of tradition’?

Match the Rabbi to the Sefer he wrote.