A man leaves home at 20:15 hrs and

Mathematics

1 answer:

Mila [183]3 years ago

7 0

Answer:

9 hours and 45 mins

Step-by-step explanation:

First, this is in army time. (Just so you know!) Also, it goes to 24 hours.

What you would do is add 45 mins to get to a single hour: so 20:15 + 45 = 21:00, then add 3 to get to 24:00 or 12:00 am, then add 6 more hours to get to 6:00 hours. So the final answer is 9 hours and 45 mins

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Evaluate the surface integral. S xz ds, s is the part of the plane 2x 2y z = 4 that lies in the first octant

maksim [4K]

The value of the given surface integral is 4.

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

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