myopenmaths3.s3.amazonaws.com 3 E M https://... 8. The electrical current (in mA) in a computer circuit as a function of time is i = 0.3 -0.2t. What total charge passes a point in the circuit in 0.050s 9. Two cars are driving towards an intersection from perpendicular directions. The first car's velocity is 2 m/sec and the second car's velocity is 9 m/sec. What is the rate of change of the distance between the cars when the first car is 8m from the intersection and the second car is.6m from the intersection? N P1: I can identify at least one topic from this course that I would feel comfortable teaching someone else. 10. What is one topic from this course that you would feel comfortable teaching someone else and why? DD Y 2 F10myopenmaths3.s3.amazonaws.com E E E M https://... M 02: I can recognize which applied problems will require a derivative to solve and which will require integra- tion to solve For each of the following problems, state whether you would use a derivative or an integral to solve it, and how you know. For a bonus, state the units the final answer would have. You do not need to solve the problem. Solutions will be posted to these problems. 6. The daily profit, P, of an oil refinery is given by P = 8x - 0.02x2, where x is the number of barrels of oil refined. How many barrels will give maximum profit and what is the maximum profit? 7. An object moves along a straight line with acceleration given by a(t) = -t + 3, and s(0) = 1 and v(0) = 0. Find the maximum distance the object travels from zero, and find its maximum speed. 8. The electrical current (in mA) in a computer circuit as a function of time is i = 0.3 -0.2t. What total charge passes a point in the circuit in 0.050s? ermyopenmaths3.$3.amazonaws.com E E M https:/... M M 3. What is the difference between continuous and differentiable? Which is the stronger statement and why? 4. What does a derivative tell us graphically? Physically? 5. What does an integral tell us graphically? Physically?myopenmaths3.s3.amazonaws.com 3 E M https://... Final Exam Review I have separated this review by the learning targets on the final exam. Beneath each learning target will be a series of problems related to it. This is not meant to be a practice test; the length will be different. Be sure to use this along with your notes and your homework problems to study for the exam. O1: I can explain how the concept of limits connect to derivatives and integrals Note: Solutions to these questions will not be posted. I want you to come up with your own solutions rather than memorize my answers. You are always welcome to come talk to me about them before the exam. 1. How are limits related to derivatives and integrals? 2. How are derivatives and integrals related to each other? 3. What is the difference between continuous and differentiable? Which is the stronger statement and why ? 4. What does a derivative tell us graphically? Physically?myopenmaths3.$3.amazonaws.com E M https://.. M M P1: I can identify at least one topic from this course that I would feel comfortable teaching someone else. 10. What is one topic from this course that you would feel comfortable teaching someone else and why? P2: I can identify at least one topic from this course that I am struggling with and create a plan for how I will become more comfortable with that topic. 11. What is one topic from this course that you are still struggling with? What could you do to help become more comfortable with this topic apart from simply practicing? 8