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jasenka [17]
3 years ago
7

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves

about the specified axis.
y = sqrt(x), y = x^2; about y = 2
or y = \sqrt{x}, y = x^2; about y = 2

Mathematics
1 answer:
Radda [10]3 years ago
4 0
A washer has outer radius 2-x^2 and inner radius 2 - \sqrt{x}

\displaystyle V = \int_0^1 \pi\Big[ \left( 2 - x^2 \right)^2 - \left( 2 - \sqrt{x}\right)^2\Big] dx

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<img src="https://tex.z-dn.net/?f=%20%5Clarge%5Cfrak%7B%20%5Cpurple%7B%20Question%7D%7D" id="TexFormula1" title=" \large\frak{ \
MAVERICK [17]

The number of students that were absent is; 24

<h3>How to find the Probability?</h3>

Let the total number of students be x .

The number of students which were absent = ¹/₃x.

Number of students which were present = ²/₃x

Thus;

Number of students who attended math's test = ¹/₂x

Number of students who attended physics test = ¹/₄x

No. of students who attended both tests = 6

A denotes number of students who attended math's test

B denotes number of students who attended physics test

Thus;

n(A) = ¹/₂x

n(B) = ¹/₄x

n(A ∩ B) = 6

n(A∪B) = number of students which were present

Thus;

n(A ∪ B) = n(A) + n(B) − n(A∩B)

²/₃x = ¹/₂x + ¹/₄x − 6

²/₃x = ³/₄x - 6

³/₄x - ²/₃x = 6

x = 72

Thus, number of students that were absent = ¹/₃ * 72

Number of students that were absent = 24

Read more about Probability at; brainly.com/question/251701

#SPJ1

5 0
2 years ago
Easy question pls anwser
defon

Answer:

A, C, D

Step-by-step explanation:

Since 15 is a positive integer, it can be represented in positive situations.

15 students add classes to schedule. = 15

15 points are taken away. = -15

15 point are given. = 15

15 dollars has been added to your salary = 15

15 dollars have been taken from your salary = -15

6 0
2 years ago
Read 2 more answers
1.5 more than the quation of a and 4 is b
Kruka [31]
I think it is (a+4=b)+1.5
3 0
2 years ago
Read 2 more answers
Identifying Relationships between Lines
denis-greek [22]

Answer:

1, 3, 5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is the equation of (4,10),(6,11) in standard form?​
SIZIF [17.4K]

ANSWER

The standard form is:

x - 2y =  - 16

EXPLANATION

The given line passes through (4,10)and (6,11).

The slope of this line is

m =  \frac{11 - 10}{6 - 4}

m =  \frac{1}{2}

The equation is given by the formula,

y-y_1=m(x-x_1)

We plug in the first point and the slope to get.

y-10= \frac{1}{2} (x-4)

2y - 20 = x - 4

x - 2y  =  - 20 + 4

x - 2y =  - 16

The standard form is

x - 2y =  - 16

7 0
3 years ago
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