Sin 30 is equal to Cos 60, I hoped that helped u
Answer:
64π/5 cubic units.
Step-by-step explanation:
The line x = 2 and y = x^3 intersect at the point (2 , 2^3) = (2, 8).
The required volume = volume of the cylinder with height 8 and radius 2 - the volume of shape form between the curve and the y axis when revolved about the y-axis.
Using the disk method for volumes of revolution:
Note that x = y^1/3 so:
the second volume = Integral π ((y^1/3)^2) dy between y = 0 and y = 8.
= 3/5 y^5/3 * π between 0 and 8
= 96π/5.
The required volume = π 2^2 *8 - 96π/5
= 32π - 96π/5
= 64π/5.
<h2>Answer=</h2>
Greetings !
The function has no undefined points nor domain constraints Therefore, the domain is

The range of an exponential function of the form

And also the range is given as
[tex]range \: of \: 3 {}^{x} = \\ solution \: x > 0 \\ interval \: notation \: (0,\infty )
Hope it helps!