Answer:
The correct answer B) The volumes are equal.
Step-by-step explanation:
The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,
which when evaluated gives 4pi/3.
Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,
If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.
Answer:
<h2>
36 units</h2><h2>
</h2>
Step-by-step explanation:
perimeter of the given triangle = 16 + slant (10) + slant (10)
= 36 units
(see image below)
Answer:
57.50+4x=75.10
x=4.4
So she can use up to 4.4 gigabytes of data
No, 5/8 is not bigger than 9/10
Answer:
Range.
Step-by-step explanation:
In Computer programming, a variable can be defined as a placeholder or container for holding a piece of information that can be modified or edited.
Basically, variable stores information which is passed from the location of the method call directly to the method that is called by the program.
For example, they can serve as a model for a function; when used as an input, such as for passing a value to a function and when used as an output, such as for retrieving a value from the same function. Therefore, when you create variables in a function, you can can set the values for their parameters.
Furthermore, the set of all values that a function will return as outputs is called the range of the function.
This ultimately implies that, the range of a function is simply a complete set of possible values that are generated from a dependent variable after a domain has been substituted. Thus, a range is the resulting values from a data set when all the possible input values have been substituted.
