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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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Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Step-by-step explanation:

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Step-by-step explanation:

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Which equation represents a linear function?
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y-2=-5(x - 2)

Step-by-step explanation:

Given:

The equations given are:

y-2=-5(x - 2)\\X+ 7 = -4(X + 8)\\y - 3 = y(x + 4)\\y + 9 = x(x - 1)

Now, a linear function is of the form:

y=mx+b

Where, 'm' and 'b' are real numbers and m\ne0

Equation 1: y-2=-5(x - 2)

Simplifying using distributive property, we get:

y-2=-5x+10\\y=-5x+10+2\\y=-5x+12

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Equation 2: X+ 7 = -4(X + 8)

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Equation 3: y - 3 = y(x + 4)

Simplifying the above equation. This gives,

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Equation 4: y + 9 = x(x - 1)

Simplifying the above equation. This gives,

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