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
We need the exact value of
to find a proper solution, but a general one can still be found. Subtracting the first equation from the second gives
Plug this into either equation and you get
(It's guaranteed that
in this case because that already corresponds to
.)
Answer:
$8.
Step-by-step explanation:
See attached picture.
Hello!!
To calculate the percentage increase<span>: First: work out the </span>difference<span> (</span>increase<span>) between the two numbers you are comparing. Then: divide the </span>increase<span> by the original number and multiply the answer by 100. If your answer is a negative number then this is a </span>percentage<span> decrease.
</span>let me know if u have anymore questions!:)
Answer: The dimensions are that of a right triangle.
Step-by-step explanation:
