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Keith_Richards [23]
3 years ago
12

What is the equation for the line?

Mathematics
1 answer:
Sonja [21]3 years ago
7 0
The slope of the line = (13-5) / -1  = -8.
The y intercept is at y = 5 

so the equation is  y = -8x + 5
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Find the Derivative.<br> f(x) = -xcos3x
DENIUS [597]

Answer:

\frac{d}{dx}(-xcos3x)=  3x \ sin(3x)- cos(3x)

Step-by-step explanation:

Use the Product Rule for derivatives, which states that:

  • \frac{d}{dx} =[f(x)g(x)]= f(x)g'(x)+f'(x)g(x)

In the function we are given, f(x)=-x \cos3x, we can break it up into two factors: -x is being multiplied by cos3x.

Now, we have the factors:

  • -x \\   $cos 3x

Before using the product rule, let's find the derivative of cos3x using the chain rule and the power rule.

  • \frac{d}{dx}(cos3x)= \frac{d}{dx} (cos3x) \times \frac{d}{dx} (3x) \\ \frac{d}{dx}(cos3x)= (-sin3x) \times 3 \\ \frac{d}{dx} (cos3x) = -3sin(3x)

Now let's apply the product rule to f(x) = -xcos3x.

  • \frac{d}{dx}(-xcos3x)=  (-x)(-3sin3x) + (-1)(cos3x)

Simplify this equation.

  • \frac{d}{dx}(-xcos3x)=  (x)(3sin3x) - (cos3x)

Multiply x and 3 together and remove the parentheses.

  • \frac{d}{dx}(-xcos3x)=  3x \ sin(3x)- cos(3x)

Therefore, this is the derivative of the function f(x)=-xcos3x.

3 0
3 years ago
Read 2 more answers
Look at ΔABC and its 90° rotation.<br>  <br> If AB is 8 inches long, what is the length of A'B' ?
chubhunter [2.5K]

Because the triangle is only rotated, AB and A'B' would be equal. 8 in.

3 0
3 years ago
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Graph the direct variation of y=1.5x. Using the graph find several integer values of x for which the values of y are positive
Vesna [10]

Answer:

y=-3

-3=-1.5x

you substitiue y value, then you divide both sides by -1.5 and you get 2 for x.

(2,-3)

y=4.5

4.5=-1.5x

you substitute y value, then again you divide both sides by -1.5 and you get 3.

(3,4.5)

y=6

6=-1.5x

same thing for this last one. then once again divide by -1.5 and you get -4.

(-4,6)

Step-by-step explanation:

7 0
3 years ago
John is filling the empty right triangular prism container shown below with a lightweight concrete to set the horse watering buc
Archy [21]

Answer:

Step-by-step explanation:

32.04 pounds  is the answer

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4 years ago
For each of the following distance matrices of graphs, identify the diameter, radius and center. Assume the graphs vertices are
mylen [45]

For each of the following distance matrices of graph, the

  • The diameter = 3
  • The radius of the graph is given as 2

<h3>What is the diameter of the graph?</h3>

This is used to refer to the fact that there would be a maximum distance that exists between the pair of vertices.

<h3>What is the radius of the graph</h3>

This used to refer to the minimum eccentricities of the vertices

<h3>What is the center of the graph?</h3>

This is used to show all of the vertices that have minimum eccentricities.

<h3>How to solve the matrix</h3>

We have

e 1 = 3

e 2 = 3

e3 = 2

e4 = 3

e 5 = 3

e 6 = 3

e 7 = 3

e8 = 2

e 9 = 3

e 10 = 2

Then the the diameter = maximum eccentricity = 3

The radius = minimum eccentricity = 2

center = [3, 8,10]

Read more on matrices of graphs here

brainly.com/question/24503758

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6 0
2 years ago
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