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Natalka [10]
3 years ago
6

The given curve is rotated about the y-axis. find the area of the resulting surface. y = 1 3 x3/2, 5 ≤ x ≤ 12

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
7 0
The area of the resulting figure will be given by:
∫f(x)dx
f(x)=13/2x^3
thus
∫f(x)dx=13/2∫x³dx=13/8[x^4]
integrating over the inerval
13/8(12^4)-13/8(5^4)
=32680+3/8 sq. units
=
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A helicopter travels 640 miles in 4 hours and 960 miles in 6 hours. Find the slope in miles per hour.
Mkey [24]

Answer:

160 miles per hour

Step-by-step explanation:

640/4=160

960/6=160

6 0
2 years ago
If Rachel were to paint her living room alone, it would take 2 hours. Her sister Fran could do the job in 5 hours. How many hour
snow_tiger [21]

Rachel and her sister Fran together can paint the living room in \frac{10}{7} hours

Given that

Rachel can paint half of the living room in 1 hour

Fran can paint \frac{1}{5}th part of the living room in 1 hour

Let's assume together they paint the living room in x hours

⇒ together they can paint \frac{1}{x}th part of the living room in 1 hour

By proportions,

⇒\frac{1}{2}+\frac{1}{5}= \frac{1}{x} {using operation proportions and addition}

⇒\frac{7}{10}=\frac{1}{x}

⇒x=\frac{10}{7}        

⇒ together they can paint \frac{7}{10}th part of the living room in 1 hour

It means, Rachel and her sister Fran together can paint the living room in \frac{10}{7} hours

Learn more about paint here:

brainly.com/question/15277377

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6 0
1 year ago
Calculate limits x&gt;-infinity<br> -2x^5-3x+1
Lera25 [3.4K]

Given:

The limit problem is:

\lim_{x\to -\infty}(-2x^5-3x+1)

To find:

The value of the given limit problem.

Solution:

We have,

\lim_{x\to -\infty}(-2x^5-3x+1)

In the function -2x^5-3x+1, the degree of the polynomial is 5, which is an odd number and the leading coefficient is -2, which is a negative number.

So, the function approaches to positive infinity as x approaches to negative infinity.

\lim_{x\to -\infty}(-2x^5-3x+1)=\infty

Therefore, \lim_{x\to -\infty}(-2x^5-3x+1)=\infty.

3 0
2 years ago
A variable needs to be eliminated to solve the system of equations below. Choose the
notsponge [240]

Answer:

x=-2

y= 8

Step-by-step explanation:

Given data

10x – 2y = -36-----------1

7x – 2y = -30--------------2

-Subtract to eliminate y

3x-0= -6

3x= -6

x= -6/3

x= -2

Put x= -2 in

7(-2)– 2y = -30

-14-2y=-30

-14+30=2y

16=2y

y= 16/2

y= 8

8 0
2 years ago
Which congruence theorem can be used to prove △WXS ≅ △YZS? Triangles W X S and Y Z S are connected at point S. Angles W X S and
iVinArrow [24]

Point S makes the two connected angles the same. They both have right angles.

And one side of each is congruent.

This means you know 2 angles are the same and one side is the same.

You would use ASA (Angle, Side, Angle)

3 0
3 years ago
Read 2 more answers
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