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ch4aika [34]
2 years ago
8

Help me please thanks

Mathematics
1 answer:
Nadusha1986 [10]2 years ago
6 0
The answer would be 100

90+90+130+130=440.

540 - 440 = 100.
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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2
HACTEHA [7]

This question is incomplete, the complete question is;

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 = 2x, x = 2y; about the y-axis

Answer:

V = π (512/15)

Step-by-step explanation:

Given that;

region of rotation

y² = 2x, x = 2y

Region is rotated about y-axis as shown in the image

for the point of intersection,

y²/2 = 2y

y² - 4y = 0

y(y-4) = 0

∴ y = 0, y = 4

so the region lies in 0 ≤ y ≤ 4

Now cross section area of washer is

A(y) = π(outer radius)² = π(inner radius)²

A(y) = π(2y)² - π(y²/2)²

A(y) = π(4y²) - π(y⁴/4)

A(y) = π(4y² - (y⁴/4))

now volume of the solid of revolution is

V = ⁴∫₀ A(y) dy

V = ⁴∫₀ π(4y² - (y⁴/4))dy

V =  π {4⁴∫₀ y² - 1/4⁴∫₀y⁴ dy }

V = π { 4/3 [y³]₀⁴ - 1/20 [y⁵]₀⁴ }

V = π { 4/3 [4]₀⁴ - 1/20 [4]₀⁴ }

V = π { 4/3 [64]₀⁴ - 1/20 [1024]₀⁴ }

V = π { 256/3 - 1024/20 }

V = π { (5120 - 3072) / 60 }

V = π (512/15)

8 0
3 years ago
Help and ill give brainliest
Zarrin [17]

Answer:

C. 3 a ^2 b^11 /2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Noah bought 15 baseball cards for $9.00. Each baseball card costs the same amount. How much will 12 baseball cards cost
denis-greek [22]
15 cards = 9$

1 card = (9/15)$

12 cards = 9/15 * 12

= 108/15

= 7.2$
6 0
3 years ago
Why is the rise the value for the numerator and the run the value for the denominator?
julsineya [31]
Because change in y for the rise is if it goes up or down and change in x for the run to see if it goes left or right
3 0
3 years ago
Help!!!!! I'm timed!!!!! ​
djverab [1.8K]

Answer:

Option C, 28

Step-by-step explanation:

2\sqrt{98} * 2

2\sqrt{7^2*2}  *\sqrt{2}

14\sqrt{2} * \sqrt{2}

14*2

28

Answer:  Option C, 28

5 0
3 years ago
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