2 years ago

Which of the functions below could have created this graph?

Mathematics

1 answer:

svet-max [94.6K]2 years ago

4 0

Answer:

Step-by-step explanation:

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Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . Find V by slicin

aliya0001 [1]

Answer:

Step-by-step explanation:

Consider the graphs of the $y = 4x$ and $y = \frac{x^{2} }{4}$ .

By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.

$4x = \frac{x^{2} }{4} \\ x^{2} = 16x \\ x^{2} - 16x = 0 \\ x(x-16) = 0$ then $x=0$ o $x=16$ . Therefore the integration limits are:

$y = 4(0) = 0$ and $y = 4(16) = 64$

The inverse functions are given by:

$x = 2 \sqrt{y}$ and $x = \frac{y}{4}$ . Then

The volume of the solid of revolution is given by:

$\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}$

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3 years ago

John is giving out chocolate to his friends.if he want to give each friend 2/3 of chocolate bar and he has 13 friends,how many c

Nikolay [14]

Multiply 13x2/3 and you should get 8.6

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2 years ago

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Me dicen la sifra 5p-14=8p+19

Alex

5p-14=8p+19
8p-5p = -3p
-3p-14=18
14+18 = 33
33/-3=-11

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2 years ago

The temperature in the morning was−8 °F. The temperature dropped 13 degrees by night. What is the temperature at night?

Firlakuza [10]

Answer:

-21 degrees

Step-by-step explanation:

-8+(-13)=-21

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2 years ago

Find the slope of the line. thanksss

Sveta_85 [38]

Answer: the slope is 1

Step-by-step explanation:

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3 years ago

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