Answer:
2754.17716307
Step-by-step explanation:
9.35 times 10 to the second power
Answer:
17/7=2.42(approximately) should be on each side of the goal
Answer:
we get:
= 1/2 ʃ02π ʃ14 ( √u -1)du dθ
= ʃ02π 11/12 dθ
= 11/6 π
Step-by-step explanation:
Given:
Radius = 2 units
Plane 1 unit from center of sphere.
The volume of D as an triple integral in spherical, cylindrical and rectangular coordinates are:
Spherical:
ʃ02π ʃ0π/3 ʃsecΦ2 p2 sinΦ dp dΦ dθ
Cylindrical:
ʃ02π ʃ0√3 ʃ1√4-r2 r dz dr dθ
Rectangular:
ʃ-√3√3 ʃ-√3-x2√3-x2 ʃ1√4-x2-y2 1dz dy dx
Solving the integral by using cylindrical coordinates:
ʃ02π ʃ0√3 ʃ1√4-r2 r dz dr dθ = ʃ02π ʃ0√3 r ( √(4-r2) -1) dr dθ
put u = 4-r2, by substituting,
we get:
= 1/2 ʃ02π ʃ14 ( √u -1)du dθ
= ʃ02π 11/12 dθ
= 11/6 π
Answer:
73.214285714285714285714285714286 (or 73 rounded down)
Step-by-step explanation:
76, 66, 55, 80, 80, 72, 97, 70, 80, 72, 88, 50, 63, 76
76 + 66 + 55 + 80 + 80 + 72 + 97 + 70 + 80 + 72 + 88 + 50 + 63 + 76 = 1025
1025/14 = 73.214285714285714285714285714286
73.214285714285714285714285714286 ≅ 73