Eight weeks down, many to go. This week in calculus, we presented and worked on our packets all week, so we really didn't learn anything new. I did learn that the table function on your calculator is a life saver and can be used to answer many problems.
To use your table function you have to plug in your equation to y equals and then press table which is second graph. If you are looking for the lim as it approaches -2, you will plug in numbers left to -2 and numbers right to -2.
Ex: -2-.1, -2-.01, -2-.001 for left and -2+.1, -2+.01, -2+.001 for the right side
You then have to see where each set of numbers are approaching to find the limit.
I also would like to remind everyone how to find rate of change because I had to learn it to complete chapter 3. To find the rate of change you have to plug into the formula f(b)-f(a)/b-a.
Ex: f(x) = x^3 + 9x on [1,3] and you are asked to find the average rate of change in f on [1,3].
f(3) = (3)^3 + 9(3) = 54
f(1) = (1)^3 + 9(1) = 10
54-10/ 3-1 = 44/2 = 22
One thing I am still confused on is how to find the formulas for optimization. I understand the steps once given the equations but I cannot figure out the formulas on my own.
I also do not understand b on number 9 chapter 3. I know y=125 but can't be 125 because it cannot exceed 100, so I do not know what to do next to get the correct answer.
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Basically you have to go back to elementary geometry and try to combine the different things you know to best portray what they are asking you for.
ReplyDeleteOnce you get used to it, it's easy.