Answer: Its factored form will be

Step-by-step explanation:
Since we have given that

So, we need to factor ,

Now,

Now, by hit and trial method, we put n=1,


So, n-1 is also factor of p(n).
Now,

So, its factored form will be

The two parabolas intersect for

and so the base of each solid is the set

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas,
. But since -2 ≤ x ≤ 2, this reduces to
.
a. Square cross sections will contribute a volume of

where ∆x is the thickness of the section. Then the volume would be

where we take advantage of symmetry in the first line.
b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

We end up with the same integral as before except for the leading constant:

Using the result of part (a), the volume is

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

and using the result of part (a) again, the volume is

Answer:
Zara = 5
Her Dad = 30
Step-by-step explanation:
Lets say Zara's age is "z"
So, her dad's age must be 6 x z = 6z
As its given that there product is 150 so we can also write it as :
z x 6z = 150
6z to the power 2 = 150
z to the power 2 = 150 divided by 6
= 25
So, z = 5
So Zara's age is 5 so her dad's age must be 30
Answer:
B.) (-202)+(-12)
Step-by-step explanation:
The undersea level is negative then going under again will produce a completely negative answer.
Answer:
First triangle
Step-by-step explanation:
First triangle is the obtuse triangle.