Use properties of power series, substitution, and factoring of constants to find the first four nonzero terms of the Taylor ser
ies centered at 0 for the function given below. Use the Taylor series (1 plus x )Superscript negative 2 Baseline equals 1 minus 2 x plus 3 x squared minus 4 x cubed plus times times times, for negative 1 less than x less than 1. (1 plus 9 x )Superscript negative 2 The first term is nothing. The second term is nothing. The third term is nothing. The fourth term is nothing.
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Answer:
Runner Up Amount=$16,000
Winner Amount=$64,000
Step-by-step explanation:
Amount of the college's scholarship=$80,000
The fund is being divided between the top two contestants so that the winner receives four times as much as the runner-up.
Therefore: we can say it is being divided into 5 parts where the winner gets 4 parts and the runner up gets 1 part, i.e in the ratio 4:1.
Runner Up Amount
Winner Amount
The winner gets $64,000 and the runner up gets $16,000.