Homework Help is Here – Start Your Trial Now!
Math
Calculus
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

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.4: Solve Applications Modeled By Quadratic Equations
Problem 10.80TI: The distance between opposite corners of a rectangular field is four more than the width of the...
See similar textbooks
icon
Related questions
Question

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) do it on paper pls and double check answer

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
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS