Are these all correct there part 1, 2,3,and 4

Select all of the following statements that are true.

nordsb [41]

Answer:

I dont understand where are the statements

7 0

3 years ago

Identify the equation of the parent function, y+x^3, that is horizontally stretched by a factor of 1/5 and reflected over the y-

levacccp [35]

A horizontal stretching is the stretching of the graph away from the y-axis. When a function is horizontally stretched by a factor, k, the x-value of the function is multiplied by the factor k.

Thus, given the parent function $y=x^3$ , a horizontal stretch by a factor of $\frac{1}{5}$ means that the x-value of the function is multiplied by $\frac{1}{5}$ .

Thus, after a horizontal stretch by a factor of $\frac{1}{5}$ of the parent function $y=x^3$ , we have $y=(\frac{1}{5}x)^3$ .

Refrection of the graph of a function over the y-axis results from adding minus to the x-term of the function.

Thus given the function, $y=(\frac{1}{5}x)^3$ , refrection over the y-axis will result to the function $y=(-\frac{1}{5}x)^3$ .

Therefore, the equation of the function that will result when the parent function, $y=x^3$ , is horizontally stretched by a factor of $\frac{1}{5}$ and reflected over the y-axis is $y=(-\frac{1}{5}x)^3$ .

4 0

3 years ago

Read 2 more answers

Write and solve an equation to find the width w of the rectangle. Explain how you know what units to use with the answer

Daniel [21]

L times width time height
2times6times6

5 0

3 years ago

A) Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given cur

Leno4ka [110]

(a) See the attached sketch. Each shell will have a radius y chosen from the interval [2, 4], a height of x = 2/y, and thickness ∆y. For infinitely many shells, we have ∆y converging to 0, and each super-thin shell contributes an infinitesimal volume of

2π (radius)² (height) = 4πy

Then the volume of the solid is obtained by integrating over [2, 4]:

$\displaystyle 4\pi \int_2^4 y\,\mathrm dy = 2\pi y^2\bigg|_{y=2}^{y=4} = 2\pi (4^2-2^2) = \boxed{24\pi}$

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - x (this is the distance between a given x value in the orange shaded region to the axis of revolution) and a height of 8 - x ³ (and this is the distance between the line y = 8 and the curve y = x ³). Then each shell has a volume of

2π (9 - x)² (8 - x ³) = 2π (648 - 144x + 8x ² - 81x ³ + 18x ⁴ - x ⁵)

so that the overall volume of the solid would be

$\displaystyle 2\pi \int_0^2 (648-144x+8x^2-81x^3+18x^4-x^5)\,\mathrm dx = \boxed{\frac{24296\pi}{15}}$

I leave the details of integrating to you.

3 0

2 years ago

How can you tell if a system of equations has infinite solutions?

kirill [66]

To tell if an equation has infinite solutions, the equation will be equal to each other.

For example,

x = x
x + 1 = x + 1
x - y = x - y

And so on...

And in special cases,

0x = 0
0x = 0(y + 1)

They have infinite solutions because there's no constant to determine the variable.

4 0

3 years ago