Answer:
independent and 3/8
Step-by-step explanation:
independent because you didn't take another one out
6/16 which equals to 3/8
i may be wrong on this one
Answer:
L ≈ 1023.0562
Step-by-step explanation:
We are given;
x = t² - 2t
dx/dt = 2t - 2
Also, y = t^(5)
dy/dt = 5t⁴
The arc length formula is;
L = (α,β)∫√[(dx/dt)² + (dy/dt)²]dt
Where α and β are the boundary points. Thus, applying this to our question, we have;
L = (1,4)∫√[(2t - 2)² + (5t⁴)²]dt
L = (1,4)∫√[4t² - 8t + 4 + 25t^(8)]dt
L = (1,4)∫√[25t^(8) + 4t² - 8t + 4]dt
Using online integral calculator, we have;
L ≈ 1023.0562
Answer:
the area of a triangle = 19 km²
Step-by-step explanation:
area of a triangle = 1/2 b h
where b = 5km
h = 7.6 km
plugin values into the formula:
A = 1/2 (5) 7.6
A = 19 km²
therefore,
the area of a triangle = 19 km²
Answer:
35 seconds
Step-by-step explanation:
At negative values he is inside the volcano, when he reaches 0 he will be at the top of the volcano
At 35 seconds, the elevation is 0, so he is at the top of the volcano