Yay, I like das stuff
I think I learned the washer method
goes like this

ok, so
actuallly, this is easier
y=49-x^2 and
y=0
see when they intersect again
they intersect at -7 and 7
if we do integrate from -7 to 7, then it wil give 0 (because integration is area under the curve), so note that they are same both sides so integrate from 0 to 7 then double the volume to get both sides
so it can't be C or D
It also can'nt be A because it should not be multipied by 4, it should be multipied by 2
basically, we don't need the washer method
remember, area=pir^2
the disk method then
we are summing up all the radii disks and squareing them
but doubleing them so

no idea why we need the inside part to be x(49-x^2), that is intersting
Answer:
<em>Length of Diameter; 1297 / π</em>
Step-by-step explanation:
If we are to find the exact length of the diameter, it would pose in terms of π, applying the Circumference Formula π * d, where d ⇒ diameter;
Circumference = π * d,
1287 = π * d,
<em>Length of Diameter; 1297 / π</em>
Answer: E. y(x) = 0
Step-by-step explanation:
y(x) = 0 is the only answer from the options that satisfies the differential equal y" - 4y' + 4y = 0
See:
Suppose y = e^(-2x)
Differentiate y once to have
y' = -2e^(-2x)
Differentiate the 2nd time to have
y" = 4e^(-2x)
Now substitute the values of y, y', and y" into the give differential equation, we have
4e^(-2x) - 4[-2e^(-2x)] + 4e^(-2x)
= 4e^(-2x) + 8e^(-2x) + 4e^(-2x)
= 16e^(-2x)
≠ 0
Whereas we need a solution that makes the differential equation to be equal to 0.
If you test for the remaining results, the only one that gives 0 is 0 itself, and that makes it the only possible solution from the options.
It is worth mentioning that apart from the trivial solution, 0, there is a nontrivial solution, but isn't required here.
Answer:
Option d is right
Step-by-step explanation:
We know that a linear correlation is a measure of association between two variables dependent and independent variable. r always lies between -1 and 1 both inclusive. If r is nearer to 0 weak correlation and if |r| is near to 1 there is a stronger correlation.
Positive sign of r implies positive association and negative r implies negative association.
Hence out of the four options given about correlation we have
Option a is right because removal of outliers confirm accurate correlation
Option B is right because only if linear pattern is visible, correlation will be right
Option C is right because only for numerical data r can be calculated
Option d is wrong because correlation lies always between -1 and 1 both inclusive.