Another day, another lab! For our last practice lab before the grade 11 chemistry summative, we combined a solution of copper sulfate with iron. Using knowledge from many of our previous chemistry units, we found the limiting reagent and compared the moles of the elements to determine the valence of copper.
After 4 long months of limits, derivatives, and integrals, it seems like calculus can solve just about anything. We started our final unit—applications of integration—by using our prior integration knowledge to calculate the area bounded by multiple functions. We will start with differential equations and revolutions in the upcoming year.
After we learned integration by parts in grade 11 AP calculus, we went on a tangent to apply this knowledge to trigonometric functions and substitutions. By then, we had acquired a fraction of the skills needed to integrate rational functions. With long division and partial fractions on our side, we can integrate problems of all shapes and sizes!