The length of a rectangular plot is 2 1/3 m. The area of the reclangle is5 1/3 m? What is the width of the plot?
1 answer:
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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.
The earning of the salesperson is an illustration of a linear function.
The possible functions in the two scenarios are: and
The function is given as:
When the base salary is increased, a possible function is:
This is so, because 2500 is greater than 2000
When the commission rate is decreased, a possible function is:
This is so, because 0.05 is less than 0.1
So, the possible functions in the two scenarios are:
and
See attachment for the graphs of both functions
Read more about linear equations at:
