Answer:
0.5 meter
Step-by-step explanation:
Calculate the height of the vessel. = 0.77 m³ So, Volume of the cylinder, V = 0.77 m³. Hence, the height of the cylinder is 0.5 meter
Answer:
x = 4 or x = (-3)/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 - 5 x - 12 = 0
x = (5 ± sqrt((-5)^2 - 4×2 (-12)))/(2×2) = (5 ± sqrt(25 + 96))/4 = (5 ± sqrt(121))/4:
x = (5 + sqrt(121))/4 or x = (5 - sqrt(121))/4
sqrt(121) = sqrt(11^2) = 11:
x = (5 + 11)/4 or x = (5 - 11)/4
(5 + 11)/4 = 16/4 = 4:
x = 4 or x = (5 - 11)/4
(5 - 11)/4 = -6/4 = -3/2:
Answer: x = 4 or x = (-3)/2
9514 1404 393
Answer:
M₅ = 1.6570
Step-by-step explanation:
The basic idea is to find the function values at x ∈ {1.1, 1.3, 1.5, 1.7, 1.9}, add those values, and multiply the result by 1/5. Those x-values are the midpoints of intervals 0.2 units wide, between x = 1 and x = 2. The width 0.2 is the total interval width (2-1=1) divided by n = 5.
The calculation and results are shown in the attachment. Rounded to 4 decimal places, the integral is ...
M₅ = 1.6570
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The actual integral is about 1.6574, so this is pretty close.