Answer:
First Graph (The left-most graph)
Step-by-step explanation:
Answer:
(25, 20 ) represents that the dimension of the coral is 25 feet long and 20 feet wide.
Step-by-step explanation:
The general representation P(x,y) represents the Cartesian Representation of a point in a 2 Dimension.
Here, x represents the distance of the point P from y axis to the x axis.
and y represents the distance of the point P from x axis to the y axis.
(x, y) together gives the 2 dimensional representation of the point P.
Now here, the given coordinates are (25, 20)
So, here x = 25 and y = 20
So, (25, 20 ) represents that the dimension of the coral is 25 feet long and 20 feet wide.
Hence, option 3 is the most appropriate.
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:
3/4
Step-by-step explanation:
In the above equation the y-intercept is -1 and the slope of the equation is 3/4
Answer:
A.) Even.
Step-by-step explanation:
If a function is an even function, then
F(-x) = f(x)
Also, if a function is an odd function, then, f(-x) = -f(x)
You are given the below function
f(x) = 1 + 3x^2 − x^4
Let x = 2
Substitute 2 for x in the function
F(x) = 1 + 3(2)^2 - (2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Also, Substitute -2 for x in the function
F(x) = 1 + 3(-2)^2 - (-2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Since f(-x) = f(x), we can conclude that
F(x) = 1 + 3x^2 - x^4 is even
