Answer:
8 π or
25.13 unit^3 to the nearest hundredth.
Step-by-step explanation:
(A)
The height of the shell is (2 + x - x^2) and the radius is (2 - x).
V = 2π ∫(2 - x)(x + 2 - x^2) dx between the limits x = 0 and x = 2.
= 2π ∫ (2x + 4 - 2x^2 - x^2 - 2x + x^3) dx
= 2π ∫ (x^3 - 3x^2 + 4 ) dx
= 2π [ x^4/4 - x^3 + 4x ] between x = 0 and x = 2
= 2 π [4 - 8 + 8 )
= 2 π * 4
= 8π
= 25.13 unit^3 to the nearest hundredth.
The commutative property of multiplication states that the numbers can be multiplied in any order.
a+b = b+a : Commutative property of addition
a*b = b*a : Commutative property of multiplication
a+0=a : Additive identity property
a*1 =a : Multiplicative identity property
Answer : a*b =b*a
Slope= -1/3
14-9/-7-8
5/-15
1/-3
