Fiedler’s model uses the ________ scale to identify a person’s leadership style as task- or relationship-motivated.

Mark’s group tends to experience a great deal of conflict related to the content and goals of the work. This is known as ________ conflict. [Hint: the type of conflict that have the most possible functional outcome]

______ is in the category of task-oriented leader behavior, and ______ is in the category of relationship-oriented leader behavior.

Let  a) Find the linear approximation L(x) for the given function that can be used to approximate the values of g(x) near x=0. Show your steps. b) Use linear approximation from part (a) to estimate the value of g(-0.1). c) Find the difference of your linear approximation to the actual value of g(-0.1). Round to at least 5 decimal places.    Show your work on your paper (5 points).

Given a triangle whose dimensions are changing. Its base is increasing at a rate of 3 in/s while its height is decreasing at a rate of 2 in/s. Find the rate at which the area is changing when the base is 20 in and the height is 30 in. State your final answer as a complete sentence. Show your work on your paper (5 points).  

The function below models the drug concentration C (in milligrams per cubic centimeter) in the bloodstream of a patient x hours after the drug was administered. Find C'(2) and interpret this value in context. State your answer in a complete sentence. Show your work on your paper (5 points).

Let a) Find the linear approximation L(x) for the given function that can be used to approximate the values of g(x) near x=0. Show your steps. b) Use linear approximation from part (a) to estimate the value of g(0.1). c) Find the difference of your linear approximation to the actual value of g(0.1). Round to at least 5 decimal places.    Show your work on your paper (5 points).

Suppose, hypothetically, that the function in the previous problem (logarithmic differentiation problem) models the amount of bacteria in a container after t hours. Find the rate at which the number of bacteria is changing after 8 hours. State your answer in a complete sentence. Type your answer here. There is no need to show your work. 

Suppose, hypothetically, that the function in the previous problem (logarithmic differentiation problem) models the amount of bacteria in a container after t hours. Find the rate at which the number of bacteria is changing after 7 hours. State your answer in a complete sentence. Type your answer here. There is no need to show your work. 

Write the formula from the name of the compound. a)  potassium nitrite b)  Iron (II) chloride c)  carbon monoxide d)  calcium carbonate