In the context of gradient descent, what is the purpose of t…

In the context of gradient descent, what is the purpose of the “learning rate”? _______________     A) To determine the direction of the gradient    B) To increase the speed of convergence by amplifying the gradient    C) To scale the gradient and control the step size    D) To find the local minimum of a non-differentiable function

Your assignment is to create a method, weatherAttire, that r…

Your assignment is to create a method, weatherAttire, that recommends what type of jacket to wear, whether to bring an umbrella, and whether to wear snow boots. The method takes two parameters: a double representing the temperature, and a boolean representing whether rain is in the forecast for that day. The method does not return a value. The following rules govern the recommendations: Temperature If the temperature is greater than 50 degrees, output “Do not wear a jacket.” If the temperature is between 32 and 50 degrees, inclusive, output “Wear a light jacket.” Otherwise, output “Wear a heavy jacket.” Rain If there is rain in the forecast, output “Bring an umbrella.” If there is rain in the forecast and the temperature is below 32 degrees, also output “Wear snow boots.” Otherwise, output “Do not bring an umbrella.” Use, but do not modify, the following main() method: public static void main(String[] args) { Scanner scnr = new Scanner(System.in); weatherAttire(51, true); weatherAttire(30, true); weatherAttire(40, false); } Your code should produce the following output in response to the three method calls: Do not wear a jacket. Bring an umbrella. Wear a heavy jacket. Bring an umbrella. Wear snow boots. Wear a light jacket. Do not bring an umbrella. Upload your entire .java file to the box when you are done. Rubric: Program compiles and runs without throwing exceptions or entering an infinite loop (5pt) Declare method weatherAttire() with correct type of return value (5pt) Declare method weatherAttire() with correct number and type(s) of parameter variables (5pt) Correctly recommend attire based on temperature and rain forecast (10pt)

The marketplace is currently in equilibrium, as indicated by…

The marketplace is currently in equilibrium, as indicated by the tangency condition shown below. Assume capital and labor are substitutes. Suppose technological improvements increase the productivity of capital, but have no effect on the productivity of labor. In terms of its use of capital and labor, what would you expect firms to do to re-establish equilibrium?