A country's share of medals at an Olympic games can be estimated from the formula: f(r, y) = 0.0062 In r + 0.0064 In y-0.0652, where r is the population and y is the per %3D capita gross domestic product ( PCGDP) of the country. a. Find fy (r, y) and evaluate it at y = 1000 to find the rate of change in the proportion of %3D medals per extra dollar when PCGDP is $1000. b. Multiply your answer to part a) by 500 to find the change in proportion that would result from an additional $500 in PCGDP, and then multiply this result by 920 ( the number of medals at typical Olympic games) to estimate the number of additional Olympic metals that would be won.

A country's share of medals at an Olympic games can be estimated from the formula: f(r, y) = 0.0062 In r + 0.0064 In y-0.0652, where r is the population and y is the per %3D capita gross domestic product ( PCGDP) of the country. a. Find fy (r, y) and evaluate it at y = 1000 to find the rate of change in the proportion of %3D medals per extra dollar when PCGDP is $1000. b. Multiply your answer to part a) by 500 to find the change in proportion that would result from an additional $500 in PCGDP, and then multiply this result by 920 ( the number of medals at typical Olympic games) to estimate the number of additional Olympic metals that would be won.

Name: Please show work. Thank you A country's share of medals at an Olympic
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Description: Please show work. Thank you A country's share of medals at an Olympic games can be estimated from the formula:f (x, y) = 0.0062 ln a + 0.0064 ln y- 0.0652, where a is the population and y is the percapita gross domestic product ( PCGDP) of the countr

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Please show work. Thank you

A country's share of medals at an Olympic games can be estimated from the formula:
f (x, y) = 0.0062 ln a + 0.0064 ln y- 0.0652, where a is the population and y is the per
capita gross domestic product ( PCGDP) of the country.
a. Find fy (r, y) and evaluate it at y = 1000 to find the rate of change in the proportion of
%3D
medals per extra dollar when PCGDP is $1000.
b. Multiply your answer to part a) by 500 to find the change in proportion that would result from an
additional $500 in PCGDP, and then multiply this result by 920 ( the number of medals at typical
Olympic games) to estimate the number of additional Olympic metals that would be won.

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