You can factor a parabola by finding its roots: if
has roots 
, then you have the following factorization:
In order to find the roots, you can use the usual formula
In the first example, this formula leads to
So, you can factor
The same goes for the second parabola.
As for the third exercise, simply plug the values asking
you get
Add 3 to both sides:
Divide both sides by 1.5:
10minutes= 10/60 hours
= 1/6 hrs
speed = distance/ time
=3/ (1/6)
= 18 km/h
Answer:
Step-by-step explanation:
yoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo thats a test question
Write the given equation as
x = (1/2)y² or as y = √(2x)
Graph the given curve within the region (0,0) and (2,2) as shown in the figure below.
When the curve is rotated about the x-axis, an element of surface area is
dA = 2πy dx
The surface area of the resulting solid is
![A= 2\pi \int_{0}^{2} \sqrt{2x} dx = \frac{4 \sqrt{2} \pi}{3} [x^{3/2}]_{0}^{2} = \frac{16 \pi}{3}](https://tex.z-dn.net/?f=A%3D%202%5Cpi%20%5Cint_%7B0%7D%5E%7B2%7D%20%20%5Csqrt%7B2x%7D%20dx%20%3D%20%20%5Cfrac%7B4%20%5Csqrt%7B2%7D%20%5Cpi%7D%7B3%7D%20%5Bx%5E%7B3%2F2%7D%5D_%7B0%7D%5E%7B2%7D%20%3D%20%5Cfrac%7B16%20%5Cpi%7D%7B3%7D%20)
If the right end is considered, the extra area is π*(2²) = 4π
Answer:
The surface area of the rotated solid is (16π)/3.
If the right end is considered, it is an extra area of 4π.
Yo can download the App photomath and it shows you how to divide step by step long numbers
