Second moment of area about an axis along any diameter in the plane of the cross section (i.e. x-x, y-y) is each equal to (1/4)pi r^4.
The second moment of area about the zz-axis (along the axis of the cylinder) is the sum of the two, namely (1/2)pi r^4.
The derivation is by integration of the following:
int int y^2 dA
over the area of the cross section, and can be found in any book on mechanics of materials.
Answer:
<em>(4). is the correct answer</em>
Step-by-step explanation:
(- 3, 1, 1)
(1). - 3 - 1 - 1 ≠ - 2 not an answer...
(2). - 3 - 1 + 3(1) ≠ 2 not an answer...
(3). 4( - 3) + 1 - 3(1) ≠ - 4 not an answer...
<em>(4). 2(- 3) + 3(1) + 4(1) = 1 </em>
<em>3(1) + 3(1) = 6 </em>
<em>- 3 = - 3(1) </em>
Answer: 6(17+14) or 186
Step-by-step explanation: I provide with you two answers since not sure what u mean .And the first answer is distributive it and the second answer is the sum.
Also 102 + 84 is an expression already so I don't know what your asking and if this help u are welcome !
The confidence interval is

.
We first find the mean. Add together all of the data points and divide by 6, the number of data points; the mean is 77.28.
Next we find the standard deviation. Find the difference between each data point and the mean; square it; find the sum; divide by the number of data points; take the square root. The standard deviation is 3.32.
To find the margin of error, we calculate the z-score associated with this level of confidence. 100-90 = 10% = 0.1; 0.1/2 = 0.05; 1-0.05 = 0.95. Using a z-table (http://www.z-table.com) we see that this is between two scores, 1.64 and 1.65; we will use 1.645.
The margin of error is given by
z * (σ/√n) = 1.645*(3.32/√6) = 2.23.
Thus the confidence interval is 77.28 +/ 2.23.
Answer:

Step-by-step explanation:
You could change the equation to this: 
*This is the exact same as 
You can continue to break this down until you get:

*This too = 
With this new equation, you can cancel out the common term: 
You come up with my answer.
<em>Hope this helps!!</em>