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1 year ago

Which graph shows the solution to the system of linear inequalities?

Mathematics

1 answer:

snow_tiger [21]1 year ago

6 0

The solution to the inequality y > x + 3 and y < -x + 2 is the dark green region shown in the graph.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Inequality shows the non equal comparison of two or more numbers and variables.

Given the inequality y > x + 3 and y < -x + 2.

The solution to the inequality y > x + 3 and y < -x + 2 is the dark green region shown in the graph.

Find out more on equation at: brainly.com/question/2972832

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) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle

Fynjy0 [20]

The surface (call it $S$ ) is a triangle with vertices at the points

$x=0,y=0\implies z=2\implies(0,0,2)$

$x=0,y=2\implies z=-2\implies(0,2,-2)$

$x=2,y=0\implies z=-8\implies(2,0,-8)$

Parameterize $S$ by

$\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $S$ to be

$\vec s_v\times\vec s_u=(20v,8v,4v)$

Then the flux of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv$

$=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}$

8 0

3 years ago

A circle has a diameter with endpoints at 3 – 5i and –8 + 2i. What is the center of the circle?

bagirrra123 [75]

So we got the real axis and the imaginary axis
we just need to find the average of the 2 points

remember
midpoint of (x1,y1) and (x2,y2) is

((x1+x2)/2,(y1+y2)/2)
so

average of 3 and -8 is -5/2
average of -5i and 2i is -3/2i

center is -5/2-3/2i

3 0

3 years ago

Read 2 more answers

HELP ASAP PLEASE HELP NOW

kow [346]

Answer:

the 2nd option f(-4) = g(-4) and f(0) = g(0)

Step-by-step explanation:

the right answer was the same x and sampe y. it means in their intersection for both f(x) anad g(x)

so the correct answer is f(0) = g(0) and f(-4) = g(-4)

4 0

2 years ago