7(b) [10 points] Find the area of the region enclosed by one loop of the polar curve givenby the polar equation

4. Consider the point with Cartesian coordinates . Which of the following options represents this point in polar coordinates?

6(c) [10 points] Find the Taylor series for the function

7(a) [10 points] A curve is defined by the following parametric equations. Find an equation of the tangent line to to the curve at the point where .  

Free Response Section Show all work for each of the following questions by showing all necessary steps. Organize your work in an unambiguous order and and show your work legibly. Please simplify your answers as much as possible, and box your final answers. Please hold each page up for a minimum of 10 seconds  to your web camera so that a snapshot can be grabbed before you scan your exam pages. Scan and submit your full solutions to the questions 5 – 7 through the Gradescope using your mobile app (RECOMMENDED) or a new tab to click on Gradescope before clicking the Submit Quiz button on your midterm exam on Canvas.  So Honorlock must be OPEN during the entire exam period. Scan and submit your full solutions to questions 5-7 through the Gradescope link page on Canvas before clicking the Submit Quiz button on Canvas.

5(c)[10 points] Determine whether the series converges or diverges. State which test you used.

Multiple Choice Section  Choose the one option that answers each question 1-4. There is no partial credit for questions 1-4. You can change your answers to the multiple choice questions, but the Correct/Incorrect feedback for multiple choice questions will not be shown during the exams. You do not need to show or scan work for the multiple choice questions.

Using the table on the formula sheet, chose the given Hindu-Arabic numeral as an Egyptian numeral: 1,010,101

 Convert the base numeral to a base ten numeral:

If you purchase a bicycle for $210 and the sales tax rate is 6.7%, how much sales tax will you pay for this item?