**Question 1**

For the given circuit, select a value of R so that the energy stored in the inductor is equal to the energy stored in the capacitor, what is the energy ?

Question 2

Question 3

What is the domain of f(x) = 4x + 1? Domain of a Function: In mathematics, the domain of a function is the set of numbers that, when plugged into the function for the input variable, creates a defined function. We can determine the domain of a function using various rules and properties for the specific type of function we are dealing with.

Question 4

Answer to question 1

Answer to question 2

Answer to question 3

Answer and Explanation: The domain of f(x) = 4x + 1 is all real numbers. In mathematics, a linear function is defined as a function that can be put in the form f ( x ) = m x + b , where m and b are constants. Notice that f(x) = 4x + 1 is of this form, so f(x) = 4x + 1 is a linear function. We have a special rule we can use when it comes to determining the domain of a linear function. If a function is a linear function, then the domain is always all real numbers. Since f(x) = 4x + 1 is a linear function, this rule tells us that the domain of f(x) = 4x + 1 is all real numbers.

Answer to question 4

Step 1

Solution:

Given data, Wind speed (v)=45 mi/h

Direction of wind is 60° north of west.

So, we have to calculate components of the wind speed vector in the west and north direction.

Step 2