Answer:
V = π /2 volume units
Step-by-step explanation:
Volume of y = √x bounded by y = x and y = 1
y = √x
limits of integration ( see Annex )
By simple inspection limits of integration are x = 0 to x = 1
or y = √x and y = x
solving these two equations
x = 0 y = 0 x = 1 y = ± 1
V = ∫ π*f(x)²*dx
V = π * ∫₀¹ x*dx = π * x²/2 |₀¹
V = π * (1/2) - 0
V = π /2 volume units
Answer:
4.756 miles
Step-by-step explanation:
It is given that,
The running trail in the local park is 3.416 miles long. If the park board were planning to extend the trail by 1.34 miles.
We need to find the new length of the running trial. It is equal to the sum of length of running trail and the extended length. So,
l = 3.416 +1.34
l = 4.756 miles
So, the new length of the running trail be 4.756 miles
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