3 years ago

F(x) = |x|

Mathematics

1 answer:

romanna [79]3 years ago

7 0

Answer: To get the function g, shift f up by 1 units.

Step-by-step explanation:

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Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.

Nadusha1986 [10]

Answer: $9.6\pi$

Step-by-step explanation:

Given

Curve is $y=3-3x^2$

boundary is y=0 i.e.

$\Rightarrow 0=3-3x^2\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1$

The volume of solid generated when rotated about the x-axis is

$\Rightarrow V=\int_a^b\pi y^2dx$

Putting values we get

$\Rightarrow V=\int_{-1}^{1}\pi (3-3x^2)^2dx\\\\\Rightarrow V=\int_{-1}^{1}\pi(9+9x^4-18x^2)dx\\\\\Rightarrow V=\pi \left [ \frac{9x^5}{5} - 6 x^3 + 9 x\right ]_{-1}^{1}\\\\\Rightarrow V=9.6\pi$

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3 years ago

State what additional information is required in order to know that the triangles are congruent for the reason given. If possibl

earnstyle [38]

Answer:

XY ≅ TU

Step-by-step explanation:

SAS = side- angle- side

It requires two sides and the included angle be congruent.

Given one congruent side and one congruent adjacent angle.

<u>In addition to what is given we need the other side be congruent too:</u>

XY ≅ TU

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3 years ago

Read 2 more answers

Samual has a collection of toy cars his favorites are the 27 red ones which makes up 60% of his collection how many toy cars dos

vagabundo [1.1K]

Answer:

Step-by-step explanation:

Use khan acedaemy

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2 years ago

Help me someone plz!!!!!!

Tomtit [17]

The answer is 15 because the elevator is moving 15 feet every second :)

6 0

3 years ago

How would i plot this on a graph?

laila [671]

Answer:

(1, 4)

Step-by-step explanation:

im assuming that the point is h(1) = 4

this point is basically just h(x) = y

1 is your x

4 is your y

you plot it at the point (1, 4)

5 0

2 years ago