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.
Answer:
positive 27
Step-by-step explanation:
I think I'm not very smart
Answer:
x = 159/23 = 6.913
Step-by-step explanation:
ifyou need help wit this type of stuff go to tigermath.com
Answer:
m=-1 I think thats the right answer
Answer:
24x² - 46x + 7
Step-by-step explanation:
Area of the shaded region = area of the larger square - area of the smaller square
✔️Area of the larger square = s²
= (5x - 4)²
= (5x - 4)(5x - 4)
= 5x(5x - 4) -4(5x - 4)
= 25x² - 20x - 20x + 16
= 25x² - 40x + 16
✔️Area of smaller square = s²
= (x + 3)² = (x + 3)(x + 3)
= x(x + 3) +3(x + 3)
= x² + 3x + 3x + 9
= x² + 6x + 9
✔️Area of the shaded region = (25x² - 40x + 16) - (x² + 6x + 9)
= 25x² - 40x + 16 - x² - 6x - 9 (distributive property)
Ad like terms
= 24x² - 46x + 7