I need help all it says is find the slope of a line. I’ll mark brainliest !

Mathematics

1 answer:

frosja888 [35]3 years ago

5 0

Answer:

maybe it shows a figure above? Try contacting your teacher?

Step-by-step explanation:

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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

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

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.

To learn more about the integral visit:

brainly.com/question/14295614

#SPJ2

6 0

2 years ago

A) Show that the equation 20-x^3-7x^2=0 can be rearranged to give x=20/x^2 - 7

AVprozaik [17]

Answer:

Step-by-step explanation:

$20-x^3-7x^2=0$

Add $x^3$ to both sides of the equation: $20-7x^2=x^3$
Divide both sides by $x^2$ : $\frac{20}{x^2} -\frac{7x^2}{x^2} =\frac{x^3}{x^2}$ ⇒ $\frac{20}{x^2} -7 =x$