How would you work this out?

(14/3)a - (3/2) units²

Step-by-step explanation:

Integrate the function

a(x^0.5) - 2(x^-2)

Add 1 to the power, divide by the new power

a(x^1.5)/1.5 - 2(x^-1)/-1

(2a/3)(x^1.5) + 2/x

Upper limit - Lower limit

[(2a/3)(4^1.5) + 2/4] - [(2a/3)(1^1.5) + 2/1]

= [16a/3 + 1/2] - [2a/3 + 2]

= 14a/3 - 3/2

= (14/3)a - (3/2) units²

i'm sure goog can you get that answer

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!