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Ex: You work for a company who is in charge of running power line t aland 18km offshore from a station 11km down shore. The cost for running a power line over land is $700km and $2500km for running under water. Where should be located in order to minimize cost? -11km -11-x=P 78 y? =√77324 •point where the line transfers from land to water Let be the distance between the point on the shore closest to the island and the paint the Powerline switches from land to water, in km, 06X211 Let C be the cast, ins, C70 C(x) = 700 (11-x) +2500 (√77+324) C'(x) = -700 + 2500 (& (x²+324) *. (27) =-700 + 2500x 700-2500x √77+324 √73324 700 (324)=2500x √x²+32425x 7 x²+324 = 625x² 49 49x+15876-62572 15876 = 576x2 15876= = x 576 =x FDT Intervall C'(x) soln Tab 사람 x- 17241 - mn! + 201 Q should be located 5.25 km from the closest Point on the shore to the Island

Ex: You work for a company who is in charge of running power line t aland 18km offshore from a station 11km down shore. The cost for running a power line over land is $700km and $2500km for running under water. Where should be located in order to minimize cost? -11km -11-x=P 78 y? =√77324 •point where the line transfers from land to water Let be the distance between the point on the shore closest to the island and the paint the Powerline switches from land to water, in km, 06X211 Let C be the cast, ins, C70 C(x) = 700 (11-x) +2500 (√77+324) C'(x) = -700 + 2500 (& (x²+324) *. (27) =-700 + 2500x 700-2500x √77+324 √73324 700 (324)=2500x √x²+32425x 7 x²+324 = 625x² 49 49x+15876-62572 15876 = 576x2 15876= = x 576 =x FDT Intervall C'(x) soln Tab 사람 x- 17241 - mn! + 201 Q should be located 5.25 km from the closest Point on the shore to the Island

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Car A is 80km east of Car B and begins moving west at 40km/h. At the same moment, Car B begins to move north at 70km/h. What is the closest distance in km, the cars will be from each other AND at what time t, in hours, will that distance occur? 

(This is a calculus optimization problem so please show all work and include the chart of the first derivative test JUST LIKE THE EXAMPLE I AM SHOWING YOU) on paper 

Ex: You work for a company who is in charge of running power line t aland 18km offshore from a station 11km down shore. The cost for running a power line over land is $700km and $2500km for running under water. Where should be located in order to minimize cost? -11km -11-x=P 78 y? =√77324 •point where the line transfers from land to water Let be the distance between the point on the shore closest to the island and the paint the Powerline switches from land to water, in km, 06X211 Let C be the cast, ins, C70 C(x) = 700 (11-x) +2500 (√77+324) C'(x) = -700 + 2500 (& (x²+324) *. (27) =-700 + 2500x 700-2500x √77+324 √73324 700 (324)=2500x √x²+32425x 7 x²+324 = 625x² 49 49x+15876-62572 15876 = 576x2 15876= = x 576 =x FDT Intervall C'(x) soln Tab 사람 x- 17241 - mn! + 201 Q should be located 5.25 km from the closest Point on the shore to the Island
Transcribed Image Text:Ex: You work for a company who is in charge of running power line t aland 18km offshore from a station 11km down shore. The cost for running a power line over land is $700km and $2500km for running under water. Where should be located in order to minimize cost? -11km -11-x=P 78 y? =√77324 •point where the line transfers from land to water Let be the distance between the point on the shore closest to the island and the paint the Powerline switches from land to water, in km, 06X211 Let C be the cast, ins, C70 C(x) = 700 (11-x) +2500 (√77+324) C'(x) = -700 + 2500 (& (x²+324) *. (27) =-700 + 2500x 700-2500x √77+324 √73324 700 (324)=2500x √x²+32425x 7 x²+324 = 625x² 49 49x+15876-62572 15876 = 576x2 15876= = x 576 =x FDT Intervall C'(x) soln Tab 사람 x- 17241 - mn! + 201 Q should be located 5.25 km from the closest Point on the shore to the Island
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