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10. Choose one problem, mark it, and solve it.(10 points) Let

13. Choose one problem, mark it, and solve it. (10 points) Draw the region bounded by the curves

7. Choose one problem, mark it, and solve it. (10 points) A ladder long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of how fast is the top of ladder sliding down the wall when the bottom of the ladder is from the wall? (8 points) Suppose where and are functions of t. If , find   when .

    Instructor: G. Kvernadze    MATH 1210________________________________________________  Final exam    NAME (please print):__________________________________________Summer 2026                                                           Show all your work.                                                              Good luck!                                                      Joke of the semester                                         There once was a number named π                                         Who frequently liked to get high.                                         All he did every day                                        Was sit in his room and play                                        With his imaginary friend named i.   1. Choose one problem, mark it, and solve it. Find the limit. Justify your answer. (10 points)

2. Choose one problem, mark it, and solve it. Find the limit. Justify your answer. (10 points)

3. Choose one problem, mark it, and solve it. Find the volume of the solids obtained by rotating the region bounded by the curves and about the specified axis. (10 points) (8 points)

2. Choose one problem, mark it, and solve it. Find the derivative of the function. (10 points)

Rainwater systems are appropriate when one or more of these factors are present:

Even though the majority of the scientist believe that the climate is changing due to greenhouse gases, there is significant political debate on the topic. As a result and inline with the precautionary principle, sustainability should not consider global climate change.

What are objectives or benefits of using green building rating systems?