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3 years ago

PLEASE HELP ME!! LIKE I NEED IT NOW!!

Mathematics

1 answer:

Gwar [14]3 years ago

8 0

Answer:

A. y= 150+65x

Step-by-step explanation:

65 is the only number that changes. The 150 will be the same no matter what.

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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

PLZ HELP

Viktor [21]

Height=25m
diameter=1.8m
so radius=0.9m
soil dugged out to.make well=vol.of well
=pi×r^2×h
=3.14×0.9×0.9×25
=3.14×25×0.81
=63.585m^3

6 0

3 years ago

Read 2 more answers

• How do you use the distance formula and slope formula to prove properties of polygons?

patriot [66]

Answer:

distance formula= $\sqrt{x} (x_{2} -x_{1} )^{2} + (y_{2} -y_{1} )^{2}$ = find the length(units) using coordinates.

slope formula= $m=\frac{rise}{run} =\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$ = determines slope of a line using two points on the line(coordinates)

When working with polygons the main properties which are important are:

The number of sides of the shape.

The angles between the sides of the shape.

The length of the sides of the shape.

length , width

straight lines , angles, vertices, vertex

A polygon is any 2-dimensional shape formed with straight lines.

a plane figure with at least three straight sides and angles, and typically five or more.

Step-by-step explanation:

<h2><u>answer= use distance and slope to determine that opposite side of a polygon are the same length and same slope</u></h2>

6 0

3 years ago

Alenkinab [10]

The statements with their relation to 0 are:

Oliver owes his sister $27. $\to$ -27
A building is 38 feet tall. $\to$ 27
Erica jumped 2.7 feet above ground. $\to$ 2.7
The scuba diver was 38 feet below sea level. $\to$ -38
The basement is 8.3 feet below ground. $\to$ -8.3

Statements that represent positions above the sea level are illustrated using the positive sign, while positions below the sea level are represented using the negative sign.

The above highlights imply that the following statements would be represented with positive sign:

A building is 38 feet tall.
Erica jumped 2.7 feet above ground.

This is so, because height and positions above the ground are above the sea level

Also, the following statements would be represented with negative sign:

Oliver owes his sister $27. $\to$ -27
The scuba diver was 38 feet below sea level. $\to$ -38
The basement is 8.3 feet below ground. $\to$ -8.3

This is so, because debt and positions below the ground are below the sea level