Question

1.1 (20 points) Set the data format to be short. Calculate the following problems in the Matlab Command Window. Show (14.8 +6.5)155 your Matlab code and answer. (a) 3.8° 72 +14 (b) +20613 In 524 1.2 (20 points) Set the data format to be short. Calculate the following problems in the Matlab Command Window. Show (€250 +23) the Matlab code and answer. (a) tan" In ووسکه ای (b) Sot 71 6 cos sin abc b da (a) 'e+d* -2-bºc+d) 1.3 (20 points) Set the data format to be short. Define the variable a, b, c, and d as: 4 -13,5 -4.2 c-(4b)/a, anda+b+e, then evaluate: ſa+b + Infb-a+c-d) (b) (d-c) Show the MATLAB code and the resulting value. 1.4 (20 points) Set the data format to be short. The perimeter P of an ellipse with semi-minor axes a and b is given approximately by: Determine the perimeter of an ellipse with 4 -20 in and b – 3 in. Show the MATLAB code and the resulting value. 1.5 (20 points) The prices of an oak tree and a pine tree are $54.95 and $39.95, respectively. Assign the prices to variables named oak and pine, change the display format to bank, and calculate the following by typing one command: (a) The total cost of 36 oak trees and 20 pine trees. (b) The same as part (a), and add 6.25% sale tax. (c) The same as part (b) and round the total cost to the nearest dollar.

Answer 1

----part 1.1---

Command Window Editor-main.m >> format short >> (14.8^2 + 6.5^2) / 3.8^2 + 55^(1/3) / (sqrt (2) + 14) ans = 18.3416 >> (-3.5)^3 + exp (6) / log (524) + 206^(1/3) ans = 27.4611 >>

----part 1.2---

Command Window Editor - main.m >> format short >> 43 * (250^(1/4) + 23)^2 / exp (45 - 342) ans = 7.2583e-12 >> cos (5*pi/6)^2 * sin(7*pi/8)^3 + tan(pi/6 * log(8)) / sqrt(7) ans 0.7645

----part 1.3---

Command Window Editor-main.m >> format short >> a = 13; >> b = 4.2; >> c = 4*b / a; >> d = a * b* c/ (a + b + c); >> a*b / (c + d) + d * a / (c* b) - (a - b^2) * (c + d) ans = 43.5290 >> sqrt(a^2 + b^2) / (d - c) + log (abs (b - a + c - d)) ans 7.8410

----part 1.4---

Command Window Editor-main.m >> format short >> a = 20; >> b = 3; >> P = 2*pi * sqrt((a^2 + b^2)/2) P = 89.8517 fx >> |

----part 1.5---

Command Window Editor - main.m >> oak = 54.95; >> pine = 39.95; >> format bank >> 36 * oak + 20 * pine ans 2777.20 >> 36 * oak + 20 * pine + 6.25/100 * (36 * oak + 20 * pine) ans 2950.77 >> round (36 * oak + 20 * pine + 6.25/100 * (36 * oak + 20 * pine)) ans 2951.00 >>

MATLAB CODE AND THE RESULTING VALUE:

% ----part 1.1---

format short
(14.8^2 + 6.5^2) / 3.8^2 + 55^(1/3) / (sqrt(2) + 14)

% ans = 18.3416

(-3.5)^3 + exp(6) / log(524) + 206^(1/3)

% ans = 27.4611

% ----part 1.2---

format short
43 * (250^(1/4) + 23)^2 / exp(45 - 3^2)

% ans = 7.2583e-12

cos(5*pi/6)^2 * sin(7*pi/8)^3 + tan(pi/6 * log(8)) / sqrt(7)

% ans = 0.7645

% ----part 1.3---
format short
a = 13;
b = 4.2;
c = 4*b / a;
d = a * b * c / (a + b + c);
a * b / (c + d) + d * a / (c * b) - (a - b^2) * (c + d)

% ans = 43.5290

sqrt(a^2 + b^2) / (d - c) + log(abs(b - a + c - d))

% ans = 7.8410

% ----part 1.4---

format short
a = 20;
b = 3;
P = 2*pi * sqrt((a^2 + b^2)/2)

% P = 89.8517

% ----part 1.5---
oak = 54.95;
pine = 39.95;
format bank
36 * oak + 20 * pine

% ans = 2777.20

36 * oak + 20 * pine + 6.25/100 * (36 * oak + 20 * pine)

% ans = 2950.77

round(36 * oak + 20 * pine + 6.25/100 * (36 * oak + 20 * pine))

% ans = 2951.00

  
  

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