2 years ago

Volume of a cylyinder witha heght of 2.3 and a base diameter of 15.2

Mathematics

1 answer:

Alborosie2 years ago

7 0

The volume is about 417.35 units !!

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given y>0 and dy/dx=(3x^2+4x)/yif the point (1,√10) is on the graph relating x and y, then what is y when x=0

jonny [76]

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3x^2+4x}y\iff y\,\mathrm dy=(3x^2+4x)\,\mathrm dx$
$\implies\displaystyle\int y\,\mathrm dy=\int(3x^2+4x)\,\mathrm dx$
$\implies \dfrac12y^2=x^3+2x^2+C$

When $x=1$ you have $y=\sqrt{10}$ , so

$\dfrac12(\sqrt{10})^2=1^3+2(1)^2+C\implies 5=1+2+C\implies C=2$

and so the particular solution to the ODE is

$\dfrac12y^2=x^3+2x^2+2$

Then when $x=0$ , you get

$\dfrac12y^2=0^3+2(0)^2+2=2$
$\implies y^2=4$
$\implies y=2$

where we omitted the negative root because it's given that $y>0$ .

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3 years ago

A bag of marbles contains 15 blue marbles and 25 green marbles. Which of the

d1i1m1o1n [39]

Answer:

5/8

Step-by-step explanation:

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2 years ago

0.4x - 1.2 = 0.15x + 0.8 ?????????

valentina_108 [34]

Answer:

x = 8

Step-by-step explanation:

0.4x - 1.2 = 0.15x + 0.8

0.4x - 1.2 + 1.2 = 0.4x

0.15x + 0.8 + 1.2 = 0.15x + 2

0.4x = 0.15x + 2

0.4x - 0.15x = 0.25x

0.15x + 2 - 0.15x = 2

0.25x = 2

0.25x / 0.25 = x

2 / 0.25 = 8

x = 8

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3 years ago

craig went out to a restaurant for dinner. he tipped 16% of his bill, which brought the sum of the dinner bill plus the tip to $

olga nikolaevna [1]

The total cost was 116% of the original bill;
Original bill was;
$\frac{100}{116} *26.10$
= <span>$22.5</span>

5 0

3 years ago

For each value of u, determine whether it is a solution to 6u-1< −19. u Is it a solution? Yes or No 5 −4 −3 8

Agata [3.3K]

Answer:

No it is not a solution to 6u-1<-19

7 0

2 years ago