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Vitek1552 [10]
3 years ago
8

Arthemeatic sequence

Mathematics
1 answer:
inn [45]3 years ago
6 0

Answer:

14

Step-by-step explanation:

its going down by 11

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17 POINTS PLEASE HURRY !!
Elena L [17]

Answer:

B

Step-by-step explanation:

Hope this helps!

5 0
2 years ago
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Write the ratio as a fraction in simplest form without any units 14 days to 5 weeks
Flauer [41]

35:14 in # of days

or

5:2 in #of weeks

5 0
3 years ago
Find the directional derivative of the function at the given point in the direction of the vector v. G(r, s) = tan−1(rs), (1, 3)
alexandr1967 [171]

The <em>directional</em> derivative of f at the given point in the direction indicated is \frac{5}{2}.

<h3>How to calculate the directional derivative of a multivariate function</h3>

The <em>directional</em> derivative is represented by the following formula:

\nabla_{\vec v} f = \nabla f (r_{o}, s_{o})\cdot \vec v   (1)

Where:

  • \nabla f (r_{o}, s_{o}) - Gradient evaluated at the point (r_{o}, s_{o}).
  • \vec v - Directional vector.

The gradient of f is calculated below:

\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{\partial f}{\partial r}(r_{o},s_{o})  \\\frac{\partial f}{\partial s}(r_{o},s_{o}) \end{array}\right]   (2)

Where \frac{\partial f}{\partial r} and \frac{\partial f}{\partial s} are the <em>partial</em> derivatives with respect to r and s, respectively.

If we know that (r_{o}, s_{o}) = (1, 3), then the gradient is:

\nabla f(r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{s}{1+r^{2}\cdot s^{2}} \\\frac{r}{1+r^{2}\cdot s^{2}}\end{array}\right]

\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{1+1^{2}\cdot 3^{2}} \\\frac{1}{1+1^{2}\cdot 3^{2}} \end{array}\right]

\nabla f (r_{o}, s_{o}) = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right]

If we know that \vec v = 5\,\hat{i} + 10\,\hat{j}, then the directional derivative is:

\nabla_{\vec v} f = \left[\begin{array}{cc}\frac{3}{10} \\\frac{1}{10} \end{array}\right] \cdot \left[\begin{array}{cc}5\\10\end{array}\right]

\nabla _{\vec v} f (r_{o}, s_{o}) = \frac{5}{2}

The <em>directional</em> derivative of f at the given point in the direction indicated is \frac{5}{2}. \blacksquare

To learn more on directional derivative, we kindly invite to check this verified question: brainly.com/question/9964491

3 0
2 years ago
Measurements of a shot recorded on a videotape during a basketball game are shown. the ball passed through the hoop even though
Mariulka [41]

I don’t see a question here. Please post the question or more details so we can help you.

3 0
3 years ago
4 friends evenly divided up an n-slice pizza. One friend, Harris, ate 1 fewer slice then he received
salantis [7]

Harrison ate n=4/4  slices of pizza.

Explanation

4 friends evenly divided up a -slice pizza.

So, the number of slices each friend received

Now, Harrison ate 1 fewer slice than he received. As he received  slices, so 1 fewer than   means......

Thus, Harrison ate n=4/4   slices of pizza.

3 0
3 years ago
Read 2 more answers
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