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ycow [4]
3 years ago
8

Need help on this too​

Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0
The answer is B
Deductive reasoning
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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
This question so hard pls helps
Nesterboy [21]

Answer:

x . 2 = y

Step-by-step explanation:

What's the question..like what are the instructions

8 0
3 years ago
I need help again :/
liq [111]

Answer:

They have a 0 in the ones place

Step-by-step explanation:

Because you start with 10, you will always have a 0 at the end.

30, 90, 270, etc.

7 0
3 years ago
Read 2 more answers
Geometry 2. Congruent triangles
Nuetrik [128]

Answer:

pq =28

Step-by-step explanation:

you set up the equation by making them equal each other 3x+4= 5x-12 and solve From there

3 0
3 years ago
Find the slope of the line that passes through (6, 6) and (3, 4).
77julia77 [94]

Answer:

The answer is \frac{2}{3}.

Step-by-step explanation:

The formula is supposed to be \frac{y2-y1}{x2-x1} or \frac{y1-y2}{x1-x2}, and if you do the math, the slope should be easy to solve.

8 0
3 years ago
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