Probleem 4 Beskou weer die probleem van die vier sirkels van Opdrag 1, Probleem 5. Gebruik...
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Probleem 4 Beskou weer die probleem van die vier sirkels van Opdrag 1, Probleem 5. Gebruik die funksies wat daar ontwikkel is (jou eie of dié van die beskikbare oplossings) om die probleme hieronder op te los. (a) Teken 'n grafiek van die afstand tussen C₂ en C₁ as 'n funksie van R₁, vir 5 ≤ R₁ ≤ 30 cm. (Alle ander R waardes bly konstant met waardes soos onder.) Jy mag 'n for-loop gebruik om deur R₁ waardes te stap (maar kyk eers of jy dit kan vermy). Problem 4 (b) Gebruik fzero om die waarde van R₁ te bereken sodat die afstand tussen C₂ en C4 gelyk is aan 30 cm. Gebruik die grafiek van deel (a) om 'n goeie aanvanklike skatting te verkry. (c) Bereken die waarde van R₁ sodat elke sirkel aldrie die ander raak soos aangedui in die figuur regs. R₂ R3 6.5 cm 12 cm R₁9.5 cm Consider again the problem of the four circles of Assignment 1, Problem 5. Use the functions de- veloped there (your own or those of the available. solutions) to solve the problems below. (a) Plot the distance between C₂ and C₁ as a function of R₁, for 5 ≤ R₁ ≤ 30 cm. (All other R values are to be kept constant at the values below.) You may use a for-loop to loop through R₁ values (but first see if you can avoid it.) (b) Use fzero to compute the value of R₁ for which the distance between C₂ and C4 equals 30 cm. Use the graph of part (a) to obtain a good initial guess. (c) Compute the value of R₁ so that each circle touches all of the others as shown in the figure on the right. C₂ C₁ Probleem 4 Beskou weer die probleem van die vier sirkels van Opdrag 1, Probleem 5. Gebruik die funksies wat daar ontwikkel is (jou eie of dié van die beskikbare oplossings) om die probleme hieronder op te los. (a) Teken 'n grafiek van die afstand tussen C₂ en C₁ as 'n funksie van R₁, vir 5 ≤ R₁ ≤ 30 cm. (Alle ander R waardes bly konstant met waardes soos onder.) Jy mag 'n for-loop gebruik om deur R₁ waardes te stap (maar kyk eers of jy dit kan vermy). Problem 4 (b) Gebruik fzero om die waarde van R₁ te bereken sodat die afstand tussen C₂ en C4 gelyk is aan 30 cm. Gebruik die grafiek van deel (a) om 'n goeie aanvanklike skatting te verkry. (c) Bereken die waarde van R₁ sodat elke sirkel aldrie die ander raak soos aangedui in die figuur regs. R₂ R3 6.5 cm 12 cm R₁9.5 cm Consider again the problem of the four circles of Assignment 1, Problem 5. Use the functions de- veloped there (your own or those of the available. solutions) to solve the problems below. (a) Plot the distance between C₂ and C₁ as a function of R₁, for 5 ≤ R₁ ≤ 30 cm. (All other R values are to be kept constant at the values below.) You may use a for-loop to loop through R₁ values (but first see if you can avoid it.) (b) Use fzero to compute the value of R₁ for which the distance between C₂ and C4 equals 30 cm. Use the graph of part (a) to obtain a good initial guess. (c) Compute the value of R₁ so that each circle touches all of the others as shown in the figure on the right. C₂ C₁ Probleem 4 Beskou weer die probleem van die vier sirkels van Opdrag 1, Probleem 5. Gebruik die funksies wat daar ontwikkel is (jou eie of dié van die beskikbare oplossings) om die probleme hieronder op te los. (a) Teken 'n grafiek van die afstand tussen C₂ en C₁ as 'n funksie van R₁, vir 5 ≤ R₁ ≤ 30 cm. (Alle ander R waardes bly konstant met waardes soos onder.) Jy mag 'n for-loop gebruik om deur R₁ waardes te stap (maar kyk eers of jy dit kan vermy). Problem 4 (b) Gebruik fzero om die waarde van R₁ te bereken sodat die afstand tussen C₂ en C4 gelyk is aan 30 cm. Gebruik die grafiek van deel (a) om 'n goeie aanvanklike skatting te verkry. (c) Bereken die waarde van R₁ sodat elke sirkel aldrie die ander raak soos aangedui in die figuur regs. R₂ R3 6.5 cm 12 cm R₁9.5 cm Consider again the problem of the four circles of Assignment 1, Problem 5. Use the functions de- veloped there (your own or those of the available. solutions) to solve the problems below. (a) Plot the distance between C₂ and C₁ as a function of R₁, for 5 ≤ R₁ ≤ 30 cm. (All other R values are to be kept constant at the values below.) You may use a for-loop to loop through R₁ values (but first see if you can avoid it.) (b) Use fzero to compute the value of R₁ for which the distance between C₂ and C4 equals 30 cm. Use the graph of part (a) to obtain a good initial guess. (c) Compute the value of R₁ so that each circle touches all of the others as shown in the figure on the right. C₂ C₁ Probleem 4 Beskou weer die probleem van die vier sirkels van Opdrag 1, Probleem 5. Gebruik die funksies wat daar ontwikkel is (jou eie of dié van die beskikbare oplossings) om die probleme hieronder op te los. (a) Teken 'n grafiek van die afstand tussen C₂ en C₁ as 'n funksie van R₁, vir 5 ≤ R₁ ≤ 30 cm. (Alle ander R waardes bly konstant met waardes soos onder.) Jy mag 'n for-loop gebruik om deur R₁ waardes te stap (maar kyk eers of jy dit kan vermy). Problem 4 (b) Gebruik fzero om die waarde van R₁ te bereken sodat die afstand tussen C₂ en C4 gelyk is aan 30 cm. Gebruik die grafiek van deel (a) om 'n goeie aanvanklike skatting te verkry. (c) Bereken die waarde van R₁ sodat elke sirkel aldrie die ander raak soos aangedui in die figuur regs. R₂ R3 6.5 cm 12 cm R₁9.5 cm Consider again the problem of the four circles of Assignment 1, Problem 5. Use the functions de- veloped there (your own or those of the available. solutions) to solve the problems below. (a) Plot the distance between C₂ and C₁ as a function of R₁, for 5 ≤ R₁ ≤ 30 cm. (All other R values are to be kept constant at the values below.) You may use a for-loop to loop through R₁ values (but first see if you can avoid it.) (b) Use fzero to compute the value of R₁ for which the distance between C₂ and C4 equals 30 cm. Use the graph of part (a) to obtain a good initial guess. (c) Compute the value of R₁ so that each circle touches all of the others as shown in the figure on the right. C₂ C₁
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Related Book For
Foundations of Financial Management
ISBN: 978-1259024979
10th Canadian edition
Authors: Stanley Block, Geoffrey Hirt, Bartley Danielsen, Doug Short, Michael Perretta
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