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
Answer:
$306 go to the school
Step-by-step explanation:
2.15*600 = 1290
0.45*600 = 270
subtract :
1290- 270 = 1020
$1020 made
1020* 30% = 1020 * 0.30
1020* 0.30 = 306
so
$306
Answer:
The measure of angle N is 141°.
Step-by-step explanation:
From the given figure it is noticed that the angle 39° and angle N lies on a straight line. It means both angles are supplementary angles.
If two angles are known as supplementary angles, then their sum is 180°.
Since angle 39° and angle N are supplementary angle, therefore their sum is 180°.
Subtract 39 from both sides.
Therefore the measure of angle N is 141°.
