Answer:
A (Only A)
Step-by-step explanation:
the X position can NOT repeat itself at all. In A it does not do that but in the rest it does
in B there is a 2,5 and a 2,2 (Repeating X)
in C there is a -1,4 and a -1, 7 (Repeating X)
in D there is a 3,1 and a 3,2 (Repeating X)
Answer:
d
Step-by-step explanation:
There a five terms in this problem.
Answer: 63
Step-by-step explanation:
From the question, we are informed that Steve sold 252 fruit basket for a school fundraiser while Evie aold 25 fruit baskets for each 100 baskets that Steve sold. This means that Evie sold 25/100 = 1/4 of what Steve sold.
Therefore, the number of fruit baskets sold by Evie will be:
= 1/4 × 252
= 63
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,
![\int\limits^1_0 {(pi)y^{2} } \, dx](https://tex.z-dn.net/?f=%5Cint%5Climits%5E1_0%20%7B%28pi%29y%5E%7B2%7D%20%7D%20%5C%2C%20dx)
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,
![\int\limits^2_0 {pi - pix^{2} } \, dy = \int\limits^2_0 {1 - y^{2}/4 } \, dy](https://tex.z-dn.net/?f=%5Cint%5Climits%5E2_0%20%7Bpi%20-%20pix%5E%7B2%7D%20%7D%20%5C%2C%20dy%20%3D%20%5Cint%5Climits%5E2_0%20%7B1%20-%20y%5E%7B2%7D%2F4%20%7D%20%5C%2C%20dy)
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.