For the following exercises, write the polynomial function that models the given situation. 79. A right circular cone has a radius of 3 x + 6 and aheight 3 units less. Express the volume of the coneas a polynomial function. The volume of a cone is V = 1 3 π r 2 h for radius r and height h .
For the following exercises, write the polynomial function that models the given situation. 79. A right circular cone has a radius of 3 x + 6 and aheight 3 units less. Express the volume of the coneas a polynomial function. The volume of a cone is V = 1 3 π r 2 h for radius r and height h .
For the following exercises, write the polynomial function that models the given situation. 79. A right circular cone has a radius of
3
x
+
6
and aheight 3 units less. Express the volume of the coneas a polynomial function. The volume of a cone is
V
=
1
3
π
r
2
h
for radius r and height h.
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
The length of a rectargle is 3 inches lorger than 4 times the width (x).
Which is the arealy function?
O y-4+3
O y-x4x+ 3)
O y(3+4)
You want to form a rectangular pen of area, a = 90 ft2 (see the figure below). One side of the pen is to be formed by an existing building and the other three sides by a fence. If w is the width of the sides of the rectangle perpendicular to the building, then the length of the side parallel to the building is L = 90/w. The total amount of fence required is the function F = 2w + 90/w, in feet.
(a) Select the graph of F versus w.
(b) Explain in practical terms the behavior of the graph near the pole at w = 0.
The amount of fence required gets (larger and larger) or (smaller and smaller) as the width gets smaller and smaller.
(c) Determine the dimensions of the rectangle that requires a minimum amount of fence. Round to two decimal places.
width
=
feet
Length
=
feet
The figure (see attached) shows a box with a square base and a square top. The box is to have a volume of 8 cubic feet. Express the surface area of the box, A, as a function of the length of a side of its square base, x.
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