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valkas [14]
4 years ago
13

In the 2011 season, drew brees of the New Orleans saints completed 468 passes. This was 71.2% of his attempts. How many attempts

did he makes?
Source: national football league
Mathematics
1 answer:
mariarad [96]4 years ago
8 0

He complete 468 passes and this represents 71.2% of his attempted passes. Set this up as a ratio. 468       71.2----  =  ------ x          100 cross multiply and solve46800 = 71.2xx = 657.3He attempted 657 passes.
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The given plane intercepts the coordinate axes at (2, 0, 0), (0, 2, 0), and (4, 0, 0). These point are the coordinates of a triangular region that we can parameterize using.

S(u,v)=(1-u)((1-u)(2,0,0)+u(0,2,0)+u(4,0,0)\\S(u,v)=(2(1-u)(1-v),2u(1-v),4v)

<h3>What is the surface integral?</h3>

A surface integral is a generalization of multiple integrals to integration over surfaces. It can be thought of as the double integral analog of the line integral. Given a surface, one may integrate a scalar field over the surface or a vector field.

with 0≤u≤1 and  0≤v≤1. Then the surface element ds  is equivalent to

ds=\||\:\left(s_u\times \:\:S_v\right)||dudv=12\left(1-v\right)dudv

The surface integral is then

\int \:\int \:_Sxzds=12\int _0^1\:\int _0^1\:\left(2\left(1-u\right)\left(1-v\right),2u\left(1-v\right),4v\right)dvdu=4

Therefore the value of the given surface integral is 4.

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