In the spherical coordinates, the triple integral of f(rho,θ,ϕ)=cosϕ, over the region 0≤θ≤2π, 0≤ϕ≤π/4, 3≤rho≤4 is .
Spherical coordinates of the gadget denoted as (r, θ, Φ) is the coordinate machine specifically used in three-dimensional systems. In 3 dimensional area, the round coordinate gadget is used for finding the surface region. those coordinates specify 3 numbers: radial distance, polar angles, and azimuthal perspective.
To convert a factor from spherical coordinates to Cartesian coordinates, use equations x=ρsinφcosθ,y=ρsinφsinθ, and z=ρcosφ. To transform a factor from Cartesian coordinates to spherical coordinates, use equations ρ2=x2+y2+z2,tanθ=yx, and φ=arccos(z√x2+y2+z2).
Consider the function:
f(0,0,0)=cos
35057
Spherical Coordinates:
x=psin cos
y=psin sine
z = p cos
DV = p² sin dpdøde
1=[[[psin p cos dpdøde
003
= "deƒân (20)deſp°dp
-(2x) (1-1) (343-27)
12
pm (316
34
3
79/3
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angle 7= 61
Step-by-step explanation:
180-119=61
Answer:
The first one is 60 and the second one is 12
Step-by-step explanation:
5*12=60 6*12=72 72-60=12
Check the picture below.
so if we simply subtract the strip area with the pond and the area of the pond only, what's leftover is the area of the strip alone, so
now, the negative root will simply yield a negative value, which is not applicable here, so we'll only use the positive root, since it's the only feasible one for the phenomena
Make them same denominator
1/2 < 2/3
3/6 < 4/6
1/2 < 1/3
3/6 < 2/6
False
The second one is false