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2 years ago

Can you help me get this answer

Mathematics

1 answer:

scoundrel [369]2 years ago

3 0

Answer:

y = f(x-1) - 3

is the correct function

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Find the volume of the solid generated by revolving the region enclosed by the triangle with vertices (1 comma 0 ), (3 comma 2

Troyanec [42]

Answer: Volume = $\frac{20\pi }{3}$

Step-by-step explanation: The washer method is a method to determine volume of a solid formed by revolving a region created by any 2 functions about an axis. The general formula for the method will be

V = $\pi \int\limits^a_b {(R(x))^{2} - (r(x))^{2}} \, dx$

For this case, the region generated by the conditions proposed above is shown in the attachment.

Because it is revolting around the y-axis, the formula will be:

$V=\pi \int\limits^a_b {(R(y))^{2} - (r(y))^{2}} \, dy$

Since it is given points, first find the function for points (3,2) and (1,0):

m = $\frac{2-0}{3-1}$ = 1

$y-y_{0} = m(x-x_{0})$

y - 0 = 1(x-1)

y = x - 1

As it is rotating around y:

x = y + 1

This is R(y).

r(y) = 1, the lower limit of the region.

The volume will be calculated as:

$V = \pi \int\limits^2_0 {[(y+1)^{2} - 1^{2}]} \, dy$

$V = \pi \int\limits^2_0 {y^{2}+2y+1 - 1} \, dy$

$V=\pi \int\limits^2_0 {y^{2}+2y} \, dy$

$V=\pi(\frac{y^{3}}{3}+y^{2} )$

$V=\pi (\frac{2^{3}}{3}+2^{2} - 0)$

$V=\frac{20\pi }{3}$

The volume of the region bounded by the points is $\frac{20\pi }{3}$ .

6 0

3 years ago

You earn money by washing windows at $14 per house or washing cars at $5 per car how many cars would you have to make the same a

Wewaii [24]

Answer:

Step-by-step explanation:

10•14=140

140/5=28

Hope this helps, have a great day/night!

5 0

3 years ago

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Mark all the relative minimum points in the graph.

creativ13 [48]

Answer:

Step-by-step explanation:

The thing to remember is that absolute can be relative but relative can't be absolute. In other words, absolute min is the very lowest point on the graph and there's usually only one (unless there are 2 absolute mins that have the same y value) while relative mins can occur at several points on a graph. That means that the only relative min point on the graph occurs at (-3, 4); the absolute min occurs at (5, -6).

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3 years ago

HELP! MARKING BRAINLIEST

Alina [70]

Answer:

Step-by-step explanation:

With PEMDAS you could know to do parentheses FIRST

6 x (10 - 2^3)

6 x (2)

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3 years ago

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