All categories

2 years ago

A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table

Mathematics

1 answer:

Maurinko [17]2 years ago

7 0

Answer: -2

Step-by-step explanation:

Because it is

You might be interested in

) 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

Please help! I'm really confused and this is due in 30 minutes!

dimaraw [331]

Answer:

1. 6x + 25

2. 60 + 28k

3. 5 + 19y

4. 3d + 1

5. 5v

6. w - 14.04

Step-by-step explanation:

These are what I got. I'm very sorry if I'm wrong.

6 0

2 years ago

$700 at 3% for 4 years find the interest earned

lara [203]

Answer:

84$

Step-by-step explanation:

700*0.03*4

8 0

3 years ago

Read 2 more answers

What is the value of θ for the acute angle in a right triangle?

Murrr4er [49]

Answer:

64 degrees

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Kylie wrote the expression. (9+k)=5. what is the value of kylies expression for k=4

Fynjy0 [20]

I thought it was -4 I calculated it and that’s what I got?¿

8 0

3 years ago