Radicals and Rational Exponents

Radicals and Rational Exponents

Question 103 (Page # 605)

C = 4d-1/3b

C = 4 (23245)-1/3 (13.5)

C = 4 (13.5) / (23245)1/3

C = 54 / 28.52

C = 1.89

C = 4d-1/3b

d-1/3 = C / 4b

d1/3 = 4b / C

Cubing both sides of the equality we get,

d1/3*3 = (4b / C)3

i.e. d = 64b3 / C3

4d-1/3b < 2

4 (13.5) d-1/3 < 2

d-1/3 < 2 / 54

1 / d1/3 < 1 / 27

d1/3 > 27

i.e. d > 19683

The displacement should be greater than 19683 to keep the capsize value less than 2 which is safe for sailing the boat.

The Capsize of the coat ...