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3 years ago

Which equation is represented by the graph below?

Mathematics

1 answer:

marta [7]3 years ago

3 0

Answer:

Hello,

Answer C

Step-by-step explanation:

Since ln(1)=0

if x=1 then y=4 ==> <u>y=ln(x)+4</u>

y=ln(x) is translated up for 4 units.

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the time taken for a ball to drop from its maximum height is directly proportional to the square root of the distance fallen. Gi

erik [133]

Answer:

=1.99 sec

Step-by-step explanation:

t=k√d

k= constant

3=k√34.1

3=5.839k

k=0.5137

t=0.5137√15

t=1.99 sec

6 0

3 years ago

PlS HeLP!!!<br> what number makes this equation true?<br> _ ÷8=4

Lunna [17]

32 is the right answer

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3 years ago

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sertanlavr [38]

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3 years ago

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Question Part Points Submissions Used Use the method of cylindrical shells to find the volume V generated by rotating the region

pochemuha

Answer:

$V=\frac{448\pi}{5}$

Step-by-step explanation:

We are given that curves y= $3x^4$ is rotated about x=4 .

Given that y=0 and x=2

We have to find the volume V generated by rotating the region bounded by the curves with the help of method of cylindrical shells.

First we find the intersection point

Substitute y=0 then we get

0= $3x^4$

x=0

Hence, x changes from 0 to 2.

Radius =4-x

Height of cylinder =y= $3x^4$

Surface area of cylinder = $2\pi r h$

Volume V generated by the rotating curves

= $2\pi\int_{0}^{2} (4-x)(3x^4)dx$

V= $2\pi\int_{0}^{2}(12x^4-3x^5)dx$

V= $2\pi[\frac{12x^5}{5}-\frac{x^6}{2}]^2_0$

V= $2\pi[\frac{384}{5}-32]$

V= $2\pi\frac{384-160}{5}$

$V=\frac{448\pi}{5}$

Hence, the volume V generated by rotating the region by the given curves about x =4= $\frac{448\pi}{5}$ .

6 0

4 years ago

The perimeter of a semicircle is 51.4 meters. What is the semicircle's radius? Use 3.14 for .

Vadim26 [7]

The radius is 8.31 cm long

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3 years ago