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Convert the following switch statement to an if-else block so the output is the same for all cases. Assume the switch variable is already declared and initialized. Note that some lines may need to be blank, if that is the case and there are multiple lines in the block, the blank line MUST BE THE LAST LINE in the block.  For example (follow this format):   if (a == 10) { sum += 10; //LEAVE BLANK }   Instead of (do NOT do this):   if (a == 10) { //LEAVE BLANK sum += 10; }  Some lines may be used once, never, or multiple times.  switch (theOffice) { case 1: System.out.println(“Jim: tuna”); case 2: System.out.println(“Michael: world’s greatest boss”); break; default: System.out.println(“nae”); case 3: System.out.println(“Dwight: assistant regional manager”); }     if (1._______________) {  2._______________________  3._______________________ } else if (4._______________) {  System.out.println(“Michael: world’s greatest boss”); } else if (5.________________) {  System.out.println(“Dwight: assistant regional manager”); } else {  6._______________________  7._______________________     } 

Write 2-3 lines of code to:  Declare a String variable and save your major in it. Print the value of the variable to the console with a newline character after it.  Make sure to select the ‘Preformatted’ style from the dropdown so your code is formatted clearly. DO NOT USE THE TAB KEY WHEN WRITING CODE AS YOU MAY ACCIDENTALLY SUBMIT YOUR EXAM. USE THE SPACE BAR INSTEAD.

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 60x − 0.5×2, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum?

Find the inverse function of f. f(x) = 7×3 + 4

(a) Describe the end behavior of the polynomial.  y = x3 − 3×2 + 4x − 15 (b) Use the Factor Theorem to show if x − 3 is a factor of P(x). P(x) = x4 + 4×3 − 19×2 − 36x + 90

Weather balloons are filled with hydrogen and released at various sites to measure and transmit data about conditions such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of 0.5 ft3/s. Initially, the balloon has 2 ft3 of hydrogen. (a) Find a linear function V that models the volume of hydrogen in the balloon at any time t. (b) If the balloon has a capacity of 18 ft3, how long does it take to completely fill the balloon?

Consider the following functions. f(x) = 4x + 7,    g(x) = 3x − 1 Find  (a) (f ∘ g)(x) (b) (g ∘ f)(x)

Draw the rough graph of the following functions (a)  (b)

(a) Find the domain and range of the function (b) Sketch the graph of