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3 years ago

F (x)=2x-5/3 expression

Mathematics

1 answer:

alex41 [277]3 years ago

7 0

The domain is (−∞,∞) and the range is (−∞,∞)

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PLEASE DONT GUESS I HAVE TO GET THIS QUESTION CORRECT!!! 20 POINTS

tankabanditka [31]

oops i just did :)

Point-slope form is y - y_1 = m (x - x_1) where x_1 and y_1 are the given coordinates and m is the slope. When you plug the given values into the equation you get y - 3 = 6 (x - 8) .

8 0

3 years ago

1. Let f(x, y) be a differentiable function in the variables x and y. Let r and θ the polar coordinates,and set g(r, θ) = f(r co

Olenka [21]

Answer:

$g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}\\$

Step-by-step explanation:

First, notice that:

$g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}cos(\frac{\pi}{4}),\sqrt{2}sin(\frac{\pi}{4}))\\$

$g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}(\frac{1}{\sqrt{2}}),\sqrt{2}(\frac{1}{\sqrt{2}}))\\$

$g(\sqrt{2},\frac{\pi}{4})=f(1,1)\\$

We proceed to use the chain rule to find $g_{r}(\sqrt{2},\frac{\pi}{4})$ using the fact that $X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta)$ to find their derivatives:

$g_{r}(r,\theta)=f_{r}(rcos(\theta),rsin(\theta))=f_{x}( rcos(\theta),rsin(\theta))\frac{\delta x}{\delta r}(r,\theta)+f_{y}(rcos(\theta),rsin(\theta))\frac{\delta y}{\delta r}(r,\theta)\\$

Because we know $X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta)$ then:

$\frac{\delta x}{\delta r}=cos(\theta)\ and\ \frac{\delta y}{\delta r}=sin(\theta)$

We substitute in what we had:

$g_{r}(r,\theta)=f_{x}( rcos(\theta),rsin(\theta))cos(\theta)+f_{y}(rcos(\theta),rsin(\theta))sin(\theta)$

Now we put in the values $r=\sqrt{2}\ and\ \theta=\frac{\pi}{4}$ in the formula:

$g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=f_{x}(1,1)cos(\frac{\pi}{4})+f_{y}(1,1)sin(\frac{\pi}{4})$

Because of what we supposed:

$g_{r}(\sqrt{2},\frac{\pi}{4})=f_{r}(1,1)=-2cos(\frac{\pi}{4})+3sin(\frac{\pi}{4})$

And we operate to discover that:

$g_{r}(\sqrt{2},\frac{\pi}{4})=-2\frac{\sqrt{2}}{2}+3\frac{\sqrt{2}}{2}$

$g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}$

and this will be our answer

3 0

3 years ago

Marti had of a pizza remaining after

o-na [289]

I think it is 1/2
hope this helped

8 0

3 years ago

-y= 4x + 1

ivolga24 [154]

Answer:

I believe the answer would be C.

Step-by-step explanation:

This is because after plugging in the numbers (2 in replace of x) (-9 in replace of y) for the problem -2y- 6x =6... the statement was determined true.... so, therefore, I believe the correct answer is C

6 0

3 years ago

Mrs. McAlister wrote the equation 10 t minus 4 t + 3 t = 8 on the board and asked students to write an equivalent equation. The

Lera25 [3.4K]

Answer:

t = 8/9

Step-by-step explanation:

There are many possible solutions that could be expressed as equivalent to the equation 10t - 4t + 3t = 8. With that being said, here is a simplified form, solved for t.

10t - 4t + 3t = 8

6t + 3t = 8

9t = 8

t = 8/9

Each of these form's is an equivalent equation to the one written by Mrs. McAlister.

If you can provide the table of student answers, we could answer which students were correct or wrong. Without the table, we can only guess.

Cheers.

3 0

3 years ago