3. In the expansion of (ax^2+ by)^8 the coefficients of last two terms are -5832 and 6561, respectively. Find the values of: a and b

a =  -0.33

b = 3

Step-by-step explanation:

(ax²+ by)⁸

by the 8th level of Pascal Triangle, the coefficient of last 2 terms are

8 a*b⁷ = -5832  ... last 2nd term 8 ab⁷ x²y⁷

b⁸ = 6561   ... last term b⁸y⁸

b = 3

a = -5832/(8*3⁷) = -0.33

v[5/7] represents the volume of air inside a rubber ball with radius 5/7 units, such that

Step-by-step explanation:

Given: The volume of air inside a rubber ball with radius r can be found using the function.

Here volume is a dependent variable on radius (independent variable).

Therefore, the value of v[5/7]  represents the volume of air inside a rubber ball with radius 5/7 units.