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Schach [20]
2 years ago
14

Find the area of the surface generated when the given curve is rotated about the x-axis. y = 4 squareroot x on [60, 77] The area

of the surface generated by revolving the curve about the x-axis is square units. (Type an exact answer, using it as needed.)

Mathematics
1 answer:
In-s [12.5K]2 years ago
8 0

Answer:

A≅562.45π u²

Step-by-step explanation:

Knowing that the volume the a solid is V=πR²h, then A=πR², therefore

A=π(4√x),  integrating on both sides ∫A=4π∫√xdx ⇒ ∫√xdx = \frac{2}{3}x^{3/2}

evaluated (60,77), then

A=\frac{8\pi }{3}(77^{3/2}-60^{3/2})\\A=\frac{8\pi }{3}(675.67-161.75})\\A=562.45\pi

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A phone company offers two monthly plans. Plan A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no init
Lisa [10]

Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is b = 25, the slope is of a = 0.09, and the function is:

A(x) = 0.09x + 25

For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is b = 0, the slope is of a = 0.14, and the function is:

B(x) = 0.14x

The plans cost the same for x minutes of calling, considering that:

B(x) = A(x)

0.14x = 0.09x + 25

0.05x = 250

x = \frac{250}{0.05}

x = 5000

The two plans cost the same for 5000 minutes of calling.

To learn more about linear functions, you can take a look at brainly.com/question/24808124

6 0
2 years ago
Beth’s music playlist contains songs she bought and songs her mother bought. The ratio of her songs to her mother’s songs is 3:2
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Answer:

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Step-by-step explanation:

i got it right on apex

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3 years ago
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tigry1 [53]

Step-by-step explanation:

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2 years ago
Teresa Gonzalez and Alan Carillo spent a total of $215.75 on their prom
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Which relations are functions?<br><br><br><br> Choose all answers that are correct.
-Dominant- [34]
Hello!

In a function, each input has only one output. In A, three has two outputs, 4 and 5, so A is not a function.

In B, you can use something called the vertical line test to see if each x value has one y value as an output. You move an imaginary vertical line across the graph, and if it intersects with two points it is not a function. If we do this on our graph, it will not intersect two points. Therefore, B is a function.

In C, we can see that each input has one output, or there are all different inputs, so C is a function.

For D we can use that vertical line test again. It intersects both the points (-1,1) and (-1,6) so D is not a function

Our final answers are B and C.


I hope this helps!




6 0
2 years ago
Read 2 more answers
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