Answer:
4√(xy³)
Step-by-step explanation:
8√(x²y⁶)
The above expression can be simplified as follow:
8√(x²y⁶)
Recall:
m√a = a^1/m
Therefore,
8√(x²y⁶) = (x²y⁶)^1/8
Recall:
(aⁿ)^1/m = a^(n/m)
Therefore,
(x²y⁶)^1/8 = x^(2/8)•y^(6/8)
= x^1/4•y^3/4
= (xy³)^1/4
Recall :
a^1/m = m√a
Therefore,
(xy³)^1/4 = 4√(xy³)
Therefore,
8√(x²y⁶) = 4√(xy³)
The pages would be 166 and 167
Answer:
I = 1.47001
Step-by-step explanation:
we have the function
In polar coordinates we have
and dA is given by
Hence, the integral that we have to solve is
This integral can be solved in a convenient program of your choice (it is very difficult to solve in an analytical way, I use Wolfram Alpha on line)
I = 1.47001
Hope this helps!!!
The expression
has two similar pairs of <span>conjunctions.
</span>
1. Rewrite this expression as
and then
2. add the similar <span>conjunctions
</span><span>
</span><span>
.</span><span>
</span><span />
<h3>Explanation:</h3>
<em>Lateral Area</em>
The lateral area is the area of the sides of the prism. If the faces are perpendicular to the bases, then each face is a rectangle. The area of each rectangle is the product of its length and width, generally the product of the height of the prism and the length of one edge of the base.
The total lateral area will then be the product of the height of the prism and the perimeter of the base.
<em>Total Area</em>
The total area is the sum of the lateral area (computed as above) and the area of the two bases of the prism. The formula for that area depends on the shape of the prism. (You have already seen formulas for the areas of triangles, rectangles, and other plane shapes. If not, they are readily available in your text or using a web search.)
