Answer:
33/16
Step-by-step explanation:
x = y⁴/8 + 1/(4y²), 1 ≤ y ≤ 2
dx/dy = y³/2 − 1/(2y³)
Arc length is:
s = ∫ ds
s = ∫ √(1 + (dx/dy)²) dy
s = ∫₁² √(1 + (y³/2 − 1/(2y³))²) dy
s = ∫₁² √(1 + y⁶/4 − ½ + 1/(4y⁶)) dy
s = ∫₁² √(½ + y⁶/4 + 1/(4y⁶)) dy
s = ∫₁² ½ √(2 + y⁶ + 1/y⁶) dy
s = ∫₁² ½ √(y³ + 1/y³)² dy
s = ∫₁² ½ (y³ + 1/y³) dy
s = ½ (y⁴/4 − 1/(2y²)) |₁²
s = ½ (16/4 − 1/8) − ½ (1/4 − 1/2)
s = 33/16
Answer:
452 cubic inches
Step-by-step explanation:
In terms of diameter, the volume of the cylinder is ...
V = (π/4)d^2h
Filling in the given numbers, we get ...
V =(3.14/4)(8 in)^2(9 in) = 452.16 in^3
The cylinder volume is about 452 cubic inches.
Answer: simplifying expression
Step-by-step explanation:
Answer:
NOSE BRO TU DIME JAJAAJAJAJAJAJAJAJAJAJAJAJAJAJAAJAJA XXDXDDDXXDDZXXDDDXXDDDXZDDXXDDDXXZDD$XXXXDDDDDDD
Answer:
the answer would be D.
Step-by-step explanation:
500 mL as cups is actually around 2.11, but since 2.5 is the closest answer, I would say it is D.
Brainliest if i am right? uwu
