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3 years ago

WILL MARK BRAINLIEST!

Mathematics

2 answers:

Mars2501 [29]3 years ago

7 0

Answer:

it's polynomial

Step-by-step explanation:

hope it helps u

amid [387]3 years ago

5 0

Answer:

multinomial

Step-by-step explanation:

polynomial are equal to multinomial

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Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = sqrt(25x) and y = x^2/25. Find V b

Westkost [7]

Explanation:

Let $f(x) = \sqrt{25x}$ and $g(x) = \frac{x^2}{25}$ . The differential volume dV of the cylindrical shells is given by

$dV = 2\pi x[f(x) - g(x)]dx$

Integrating this expression, we get

$\displaystyle V = 2\pi\int{x[f(x) - g(x)]}dx$

To determine the limits of integration, we equate the two functions to find their solutions and thus the limits:

$\sqrt{25x} = \dfrac{x^2}{25}$

We can clearly see that x = 0 is one of the solutions. For the other solution/limit, let's solve for x by first taking the square of the equation above:

$25x = \dfrac{x^4}{(25)^2} \Rightarrow \dfrac{x^3}{(25)^3} = 1$

$x^3 =(25)^3 \Rightarrow x = \pm25$

Since we are rotating the functions around the y-axis, we are going to use the x = 25 solution as one of the limits. So the expression for the volume of revolution around the y-axis is

$\displaystyle V = 2\pi\int_0^{25}{x\left(\sqrt{25x} - \frac{x^2}{25}\right)}dx$

$\displaystyle\:\:\:\:=10\pi\int_0^{25}{x^{3/2}}dx - \frac{2\pi}{25}\int_0^{25}{x^3}dx$

$\:\:\:\:=\left(4\pi x^{5/2} - \dfrac{\pi}{50}x^4\right)_0^{25}$

$\:\:\:\:=4\pi(3125) - \pi(7812.5) = 14726.2$

4 0

3 years ago

HELP! I NEED THE TWO EQUATIONS AND THE COST OF ONE PACKAGE OF BROWNIES AND ONE PACKAGE OF CUPCAKES

amid [387]

Answer:

Brownie package = 4.25

cupcake package = 3.50

Explanation

4.25 x 4 + 3.50 x 2 = 24

PLZ MARK BRAINLIEST IF HELPED

3 0

3 years ago

Tourists from a tour bus were asked about places they visited during their stay in a city. The results are shown in the table. S

igor_vitrenko [27]

Thanks for sitting tight. Answers in attachment below.

*Percentages are close approximations to the probabilities. Ideally, the fractions should be used.

7 0

4 years ago

In one month, Claudia rides her favorite bike trail 12 times. She travels a distance of 1,182 km. What is the length of Claudia'

levacccp [35]

Hello! I am happy to help you.

What you do for this problem is you take the total distance and divide by the times traveled.

1182 / 12 = 98.5.
The trail is 98.5 km long.

Hope this helps.

4 0

4 years ago

Read 2 more answers

A store buys sweatshirts for $12 each and marks up the price by 25%.

lions [1.4K]

Answer:

15$

Step-by-step explanation:

this is reallly easy you just have to divide 12 by 4 since 25% = 1/4

12/4 = 3

12 + 3 = 15

Hope this helps :)

4 0

3 years ago