What is the midpoint of Lo? L
M
NP
Q
-10-9-8-7 -6 -54
-3 -2 -1 0 1 2 3 4
5
6 7
8 9 10
Opoint M
point N
point P
point Q
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40) la 8/24

When ∆rst is translated 4 units down, what are the apparent coordinates of t’? give 15 points

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

Given the choice between receiving $1.000.000 in one month or a single penny-doubled everyday for the period of one month; which option would you choice? show your work to support your answer. (assume that 1 month=30 days)