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
$135
First, change the mixed number to an improper fraction.
2 1/4 = 9/4
Next, change $60 to an improper fraction.
$60 = 60/1
Then, multiply straight across on both the top and bottom to get 540/4.
Finally, simplify and get 135.
Hope this helped :)
Answer:
3/5 is expressed as 60% in terms of Percentage.
Let's convert the fraction 3/5 into percent. Now, 60/100 is expressed as 65% in terms of percentage.
Answer:
9
Step-by-step explanation:
If you want to get $15 profit, You will need to paint 9 faces. You spent $12 on painting supplies so this is the explanation.
$3 x 9 = $27
$-12 + $27 = $15
That way, you earn $15.
