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: 75 minutes per hour.
Step-by-step explanation:
From the question, we are informed that Marion is driving between two towns that are close together and that she drives 1/5 the distance of the trip in 15 minutes.
The rate per hour will then be:
= 15 ÷ 1/5
= 15 × 5
= 75 minutes
The rate per hour will then be 75 minutes per hour.
Answer:
C
Step-by-step explanation:
in this form y=mx+b the m is the slope of the line and b is the y intercept. here the line intercepts the y axis at -4. the slope is rise over run or more formally found by (y2-y1)/(x2-x1) and here it is -4/3
15 times 6 is 90
I hope it’s right a million apologies if I’m wrong
