READ THESE INSTRUCTIONS!Show all work to justify your solutions. DO NOT JUST PUT THE ANSWERS. I want you to show me HOW you obtained your solution. If you only put answers, full credit may not be given. Use the Math Text Editor to type solutions using MATH TYPE, located in the TOOL BOX as a plus sign. To edit the Math Text, click on what you want to edit and select the Math Text Editor again. You should see your previous work so you do not need to start over again.You may not use your notes on this part of the Exam. You may use your own Non-graphing Calculator, not on your phone. PhotoMath is NOT a Calculator. A Scientific Calculator will also appear on your screen. You have 2 hours to work this part of the Exam and type your answers with Math Text Editor. Good luck! Due by SUNDAY 3/30/25 by 11:59 pm CDT.DOUBLE-CHECK BEFORE SUBMITTING. Good Luck Everyone!!!! 🙂

A) Describe the steps for finding the inverse of a function. Begin with how you know a function has an inverse. Number your steps.B) Find the inverse of the function below:f(x)=5x + 32C) Show how you know your answer is correct for part B. Hint! Find the composition of functions of the function and it’s inverse to show these are inverse functions.

The planets in our Solar System are pretty evenly spaced.

QUESTION 4 for Gradescope: Consider the region shown below (a triangle with a quarter circle).  If the density is  δ ( x ) = 3 + x 2  grams/cm 2 {“version”:”1.1″,”math”:”\delta(x)=3+x^2 \text{ grams/cm}^2″}set up an integral to find the total mass of the region. (The x- and y-axes in the picture are measured in centimeters, and the variable x in the density function is the x-coordinate of a point on the shaded region shown.) Show all supporting work. In particular, include a sketch of a representative slice labeled with dimensions needed to calculate the mass of the slice, and show all intermediate steps. You do NOT need to evaluate the integral.

Using the function template below, type a working recursive function.  Make sure your function conforms to the instructions given in the comments for the function.    

Beam ABCD is supported by two cables at points E and F and has a smooth support at D. The beam is subjected to a distributed load, a point load and a couple moment at point C, as shown in the figure. Determine the reactions at each support. Note that a Free Body Diagram (FBD) is required to receive full points.

The structure is supported by a journal bearing at point A and a cable at point B. Which of the following is the correct Free Body Diagram?

The bracket ABC can be supported in the four different ways shown. All connections consist of smooth pins. Circle the case which is improperly constrained. Justify your selection.

Mr. White has been diagnosed with a 4.2 cm abdominal aortic aneurysm. The nurse is providing education to the patient about the aneurysm. Which of the following teaching points is the most appropriate point for the nurse to reinforce?

Give the definition of the removeFront function. This function removes a node from the front of a Deque object, and returns the value that was stored in the removed node. You can assume the calling object is not empty before a removeFront function call.