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alexira [117]
3 years ago
9

middle" class="latex-formula">.

Mathematics
1 answer:
Anastasy [175]3 years ago
5 0
First you differentiate it. So:
x^3 + 2x - 1 = 3x^2 + 2
at point (2, 1) the x value is 2 so you substitute that into the differentiated equation.
you get 3(2)^2 + 2 = 14
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99 POINT QUESTION, PLUS BRAINLIEST!!!
Basile [38]
1.Disc method.
In this method the volume is given by:

\boxed{V=\pi\int\limits_a^b\big[f(x)\big]^2}

so:

V=\pi\int\limits_1^3x^4\,dx=\boxed{\pi\int\limits_1^3\big[x^2\big]^2\,dx}

A) Function f(x)=x^2 over the interval [1,3]
B) We use disk method and f(x) is function of variable x, so we <span>rotate the curve about the x-<span>axis.


2. Shell method.

In this case volume is given by:

</span></span>\boxed{V=2\pi\int\limits_a^bx\cdot f(x)\,dx}

So there will be:

V=\pi\int\limits_1^3x^4\,dx=\dfrac{2}{2}\cdot\pi\int\limits_1^3x^4\,dx=2\pi\int\limits_1^3\dfrac{x^4}{2}\,dx=&#10;\boxed{2\pi\int\limits_1^3x\cdot\dfrac{x^3}{2}\,dx}

A) Function f(x)=\dfrac{x^3}{2} over the interval [1,3]
B) We use shell method and f(x) is function of variable x, so we <span>rotate the curve about the y-<span>axis.</span></span>
3 0
3 years ago
Bryce, a top landscape architect, was given a special garden design job. The client owned a property as shown below, in which he
Valentin [98]

.........................................

7 0
3 years ago
Please help! Find the value of X. Round to the nearest tenth. acellus
just olya [345]

9514 1404 393

Answer:

  38.2°

Step-by-step explanation:

The law of sines tells you ...

  sin(x)/15 = sin(27°)/11

  sin(x) = (15/11)sin(27°) . . . . . multiply by 15

  x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°

  x ≈ 38.2°

_____

<em>Additional comment</em>

In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.

Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.

The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle  (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.

7 0
3 years ago
Can people help find the answers to this
Gwar [14]
I think D and E. The point slope formula is y-y₁=m(x-x₁).
3 0
3 years ago
Use the information to answer the following questions.
lyudmila [28]

If a manager at a large company wants to understand whether the employees are feeling. The best way to collect data is: B. survey.

<h3>What is survey?</h3>

Survey can be defined as the data or information collected from group of people so as to draw or reach a conclusion.

Based on the information Survey would be the best method that would be  suited to understand whether the employees are feeing overworked or not.

The manager can send an online survey to the employee so as to collect that data that will enables the manager to reach a conclusion.

Therefore the correct option is B.

Learn more about survey here:brainly.com/question/968894

#SPJ1

8 0
2 years ago
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