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1 answer:
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Answer:
Step-by-step explanation:
The given figure is a rectangle having length = 9 yd and width = 3 yd
Now we will check each figure
Figure one- rectangle with length = 18 yd and width = 9 yd
For similarity of both rectangles ratio of length should be equal to ratio of widths.
So rectangles are not similar.
Figure 2- rectangle with length = 3 yd and width = 6 yd
So figures are not similar.
Figure 3 - rectangle with length = 3 yd and width = 1 yd
Therefore, figures are similar.
Figure 4 -rectangle with length = 8 yd and width = 2 yd
So given rectangles are not similar.
Figure 5 - rectangle with length = 18 yd and width = 6 yd
So rectangles are similar.
Figure 6 - trapezoid with larger base = 18 yd and height = 6 yd
Since shapes of the given figures are not same so they are not similar.
Answer:
Area = 32/3
Step-by-step explanation:
x = u ²
y = uv
z = 12v ²
0 ≤ u ≤ 2
0 ≤ v ≤ 1
Since ru = <2u, v, 0> and rv = <0, u, 24v>, we have
Where ru is the differentiation of x, y, z with respect to u and rv is the differentiation of x, y, z wit respect to v.
we find the cross product of ru and rv
ru × rv = 24v²i - 48uv²j + 2u²k
absolute value of ru × rv = 2u² + 24v²
We can now find the area
∫₀² du ∫₀¹ dv (2u² + 24v²) = ∫₀² du [2u²v + 8v³]₀¹ = 32/3
Detailed description can be found in the attachment
