Scribe 6/6

Today as usual we started with the POD.

Pod 6/6: Find lim 6x^4+ 3x^2/12x^3- 8+x^2. Show your work. No graphing calculator.
x:-∞

In order to solve this problem we used the trick given for limits(remember not all limit problems apply):
**Trick: multiply top and bottom of the fraction bythe reciprocal of the variable raised tothe highest power in the denominator.

lim 6x^4+3x^2/12x^3-8+x^2 * 1/x^3/1/x^3
x:-∞
lim (6x+3/x)/(12-8/x+4/x) = 6x/12 =
x:-∞
The limit does not exist because the number will increase negatively as the x gets bigger!
DNE :-∞

With the last property we got yesterday we can solve the extra credit problem of the last test:

A brick pyramid is built in square layers such that smaller layers are stacked on top of larger layers. The lowest layer is made with 100^2 bricks. The next layer with 99^2 bricks, the next with 98^2 bricks, etc...
How many bricks are in the pyramid if the top layer is made of 40^2 bricks?

b =number of bricks

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After solving the previous problem we were asked to solve the next problem using the poperties previously given:

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Practicing with another problems:

Given that a 4-square court has a total of 5 squares.
a. How many squares would a 9 square court have? 14 squares
b.How many would a 25 square court have? 55 squares
c.Use a summation formula to find the total number of squares in a 100 square court.
10 sides

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Practice......
Problem # 26 from the Homework
Express the series in Sigma notation

27-9+3-1+1/3-1/9

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Now that we have expressed the series in sigma notation we are going to practice gettingthe solution of the sum:


Express the series in sigma notation and then use sigma properties to find the sum:
3*2+3*3+3*4+3*5+.....+3*18

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At the end of the class Mr A gave us the last property:

5th property:
The constant never changes so you just have to multiply it by the number of terms.

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Homework pg 509 # 25,27,33,35


Tomorrow´s scribe would be done by Allison