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3 years ago

6

Y = 7ex, y = 7e−x, x = 1; about the y-axis

1 answer:

atroni [7]3 years ago

3 0

A "typical" cylindrical shell of wall thickness dx at x=x will have the length (in the y-direction) L = (e^x – e^-x).

<span>Rotating this shell about the y-axis generates a volume dV = 2.π.x.L = 2.π.x.(e^x – e^-x).dx </span>

<span>Total volume V of all such cylindrical shells in the given range = 2.π.∫x.(e^x – e^-x).dx </span>

<span>= 4.π.[x.cosh(x) – sinh(x)] from 0 to 1. Now insert the limits and we obtain: </span>

<span>= 4.π.[1.543 – 1.175] = 4.624 cubic units</span>

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For each graph state the domain and range.

Lady bird [3.3K]

Try this option:

a) domain: x∈(-∞;+∞); range: y∈(0;+∞);

b) domain: x∈(-∞;+∞); range: y∈(-∞;5].

6 0

2 years ago

Required information NOTE: This is a multi-part . Once an answer is submitted, you will be unable to return to this part A club

algol13

Answer:

491400

Step-by-step explanation:

Given : A club has 28 members.

To Find : . How many ways are there to choose four members of the club to serve on an executive committee?

Solution:

We are supposed to choose four members of the club out of 28.

So, we will use combination

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

n = 28

r = 4

Substitute the values :

$^{28}C_{4}=\frac{28!}{4!(28-4)!}$

$^{28}C_{4}=\frac{28 \times 27 \times 26 \times 25 \times 24!}{4!(24)!}$

$^{28}C_{4}=\frac{28 \times 27 \times 26 \times 25 \times 24}{4 \times 3 \times 2 \times 1}$

$^{28}C_{4}=491400$

Hence there are 491400 ways o choose four members of the club to serve on an executive committee

8 0

3 years ago

What does the formula |_|r^2 <br> find?

Klio2033 [76]

It finds the Area of circle

7 0

2 years ago

What is the volume of the sphere below?

Mamont248 [21]

Answer:

ans is (D)500/3 π unit^3

Explanation :

Formula for volume of sphere is 4/3 π r^3 .

7 0

2 years ago

The ellipse x^2/4 + y^2/16 = 1<br> Has a vertical axis of??<br> 8<br> 16<br> 4<br> 3

photoshop1234 [79]

I might be wrong but I say 16

8 0

2 years ago