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Students find the area between two curves while determining the required amount of concrete needed for a winding pathway and stepping stones.
In problem 1, students use a scenario to help them explore the area between two curves. Students use the numerical integral function on the TI-89. They find the amount of concrete needed to create a pathway for a business owner.
In problem 2, the business owners decide to change the design of the pathway. Students are to model the two equations and graph them to find the amount of concrete needed.
Students will see that when doing this by hand, that the variable portion cancels itself out and they are integrating a constant.
In problem 3, students need to find the amount of concrete needed to create stepping stones. They are given the equations that model the stones. They will see that there are no stopping points for the integral limits. Students can find those using the solve command.
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