Its 28.65 because when you add both of them up, and divide by 2, that's what comes out
47/13 is the simplest term. can not simplify any further
The region inside one leaf of r the area of the region is pi.20.
r =cos5θ
cos5θ =0
5θ=pi/2 ,5θ=3pi/2
θ=pi/10,θ=3pi/10
area of one leaf = ∫[pi/10 to 3pi/10](1/2)r2dθ
= ∫[pi/10 to 3pi/10](1/2)(cos5θ)2dθ
= ∫[pi/10 to 3pi/10](1/4)(1+cos10θ)dθ
=[pi/10 to 3pi/10](1/4)(θ+ (1/10)sin10θ)
=(1/4)((3pi/10)+ (1/10)sin3pi) -(1/4)((pi/10)+ (1/10)sinpi)
=(1/4)(3pi/10) -(1/4)(pi/10)
=(1/4)(2pi/10)
=pi/20
area of one leaf =pi.20.
Region area (calculus) Region area. The non-negative function given by y = f(x) represents a smooth curve on the closed interval [a, b].The area through the curve of f(x), the x-axis, and the perpendicular lines x = a and x = b The bounding region shown in Figure 1 is given by.
Learn more about the area of the region here: brainly.com/question/19053586
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Answer:
12 miles
Step-by-step explanation:
you would multiply 4/9 by 27 and you would get 12 miles in total.
Since the surface is closed, and the vector field is rather complicated, you can use the divergence theorem. The flux of
across
is given by a surface integral, which the divergence theorem asserts is equivalent to a volume integral:
where
denotes the space with boundary
. We have
So in fact the flux across
happens to be equal (in magnitude) to the volume encased by
.
Convert to cylindrical coordinates, setting
