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At the top we see the two equations of the (t,y) graph from the Angry Bird lab and the (t,v) graph from the same lab. We walked through in class what the meaning of the two equations are. It may be noted that the (t,v) equation does not agree with the values for acceleration and original velocity that are in the (t,y) equation. This is because of our method of plotting average velocities to make the (t,v) graph. It introduces considerable error into the measurements as each calculation is based on two data points, rather than all 25+. The techniques of differential calculus can be used to generate a (t,v) graph that represents the original best-fit parabola. The math required to accomplish this is on the board in this slide. Note that it gives a new (t,v) equation that's slightly different than the one from the graph. This new equation is more accurate because it uses all of the original data.
Diagram for Building and Ladder Question:
A fence 6 feet tall runs parallel to a tall building at a distance of 6 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
We were encouraged to make art alongside our answers to the calculus problems. No one else cared to make anything worth looking at except me. To the left is Pikachu and to the right is an angry bubbling Beeble.
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Algebra Polynomials request a lot of practicing continuously. This video concentrates on how you can work step-by-step each exercise.
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REMEMBER FOREVER ABOUT: ALGEBRA POLYNOMIALS FOR A LEVEL - BASIC
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REMEMBER FOREVER ABOUT: ALGEBRA POLYNOMIALS FOR A LEVEL - BASIC
MathExcel is a program that gives freshman calculus students a solid set of group study skills that would serve them well both in their introductory level calculus classes as well as the rest of their tenure as UK students.
Photo by Shaun Ring