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4 years ago

Graph each system. y’all weather the system has no solution, one solution, or infinitely many solutions

Mathematics

1 answer:

Tanya [424]4 years ago

8 0

Answer:

a. no solution

Step-by-step explanation:

y=5x-4

y=5x-5

5x - 4 = 5x - 5

-4 ≠ -5

No solution

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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

4 years ago

Prove that y = -3x + 3 is linear.

shtirl [24]

Graph it and you’ll see it’s a line

8 0

3 years ago

What is 6 gallons in litres, to the nearest litre?

cestrela7 [59]

Answer:

22.71

Step-by-step explanation:

Please mark me branliest?!?!

5 0

3 years ago

Can someone help me out please if i can make this assignment up i can pass my class

kari74 [83]

Answer:

Not sure but 2 would be the same as 1 so 39.5 and 3 and 4 would be 50.5

Step-by-step explanation:

1 and 3 make a right angle and so does 4 and 2 so all I did was subtract 39.5 from 90 since a right angle=90 degrees

4 0

3 years ago

Read 2 more answers

Find the values of the six trigonometric functions of theta with the given constraint.

Evgesh-ka [11]

Answer:

The six trig ratios at 3pi/2 are:

sin(3pi/2)=-1

cos(3pi/2)=0

tan(3pi/2) (undefined)

csc(3pi/2)=-1

sec(3pi/2) (undefined)

cot(3pi/2)=0

Step-by-step explanation:

If tangent is undefined then cosine would have to be 0 given that tangent is the ratio of sine to cosine.

cosine is 0 at pi/2 and 3pi/2 in the first rotation of the unit circle.

3pi/2 satisfies the given constraint.

The six trig ratios are therefore:

sin(3pi/2)=-1

cos(3pi/2)=0

tan(3pi/2)=-1/0 (undefined)

Reciprocal values:

csc(3pi/2)=-1

sec(3pi/2) undefined since cos(3pi/2)=0

cot(3pi/2)=0/-1=0

4 0

3 years ago

Read 2 more answers