Why is the sodium-potassium pump considered active transport? Explain your answer with what you know about how this pump works. Make sure to use your own words.

In your own words, discuss why the following affect the rate of diffusion: molecular size, temperature, and the distance traveled.

Explain in your own words the Fluid Mosaic Model and how it applies to plasma membranes.

Identify which type of transport is happening in each diagram in the picture below. The types of transport that you can use are facilitated diffusion, diffusion, equilibrium, osmosis, or active transport. Type in your answers in order from A to D. A: [A] B: [B] C: [C] D: [D]

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.