My final project is about limits. This is a rough sketch of what my four problems would be.
1. A teenager that goes to the gym, is moving a box. The boy pushes the box hard, and it starts sliding with a friction force that oppose the motion created by the push. If it is 130 pounds, the friction is the same as the force the boy uses to push the box. If it goes over 130 pounds the friction force will equal 100 pounds. With this information sketch a graph of friction as a function of the boys applied force. A). Where is the graph discontinuous? B). Keeping this description, try to make the graph continuous.
2. The pupil of an alligator is given by the function F(x) mm. The variable x is the intensity of light in the pupil. If there is a given function f (x)= 195x-.6+75/4x-.6+ 25. A). Find the diameter of the pupil of the alligator with the maximum light.
3. After a boy was injected with a medicine, the docotr wanted to know the concentration of drug in the muscle according to the function of time f(t). Suppose that t is in hours and the function is f(t)=e-.07t - e-.94t. Find the limit as t approaches infinity.
4. Find the limit as x approaches infinity (e-6x cos 6x2)
As Anto I had various problems as well. When I tried to coyp the limit symbol into the post it showed me something very strange. Also the power values. If I can get any help I would apreciate it.
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Gerardo,
You have lots of application problems and this is an important part of the topic. However, I believe you have udnervalued the importance of the basic concepts. In fact, you have not even listed the basic concepts that you are trying to teach. A good project will strike a better balance between fundamental concepts and techniques and their application.
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