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:
x=-0.625
Step-by-step explanation:
24x+15=0
-15 -15
24x=-15
x=-0.625
Answer:
Step-by-step explanation:
So the line C equation is 
and line D is parallel to it and it passes through the point (4,10) and we need to ding the equation for line D.
So first we have a graph with line C listed and (4,10).
And we can keep listing more equations till we find the right one which is .
So I got this by knowing that in parrelel lines the slope is the same but the y intercept changes which is why it was fast to find the answer.
Answer:
18
Step-by-step explanation:
I did my method that I was taught but if you do (-5) - (-2), you get 3. So you subtract 39 by the -21 to get 18.
Area of big rectangle = LxW
=18 x 31
= 558 mm squared
area of small parallelogram= b x h
= 13 x 6
= 78 mm squared
area of shaded part = 558-78=480mm squared
