Find the volume of the region bounded above by the paraboloid z equals 3 x squared plus y squared and below by the square R: min
us 1 less than or equals x less than or equals 1 comma negative 1 less than or equals y less than or equals 1.
1 answer:
Answer:
V=5.333cubit unit
Step-by-step explanation:
this problem question, we are required to evaluate the volume of the region bounded by the paraboloid z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1
The question can be interpreted as z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1 and we are told to evaluate the volume of the region bounded by the given paraboloid z
The volume V of integral evaluated along the limits of x and y for the 2-D figure, can be evaluated using the expression below
V = ∫∫ f(x, y) dx dy then we can now substitute and integrate accordingly.
CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION:
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Let 147 × 16 = 2352, from this we get if we multiply a number in the order 1,4,7 it can be integer number or a decimal number with another number digits order 1,6 it can be decimal or integer then resulting number digits order becomes 2,3,5,2. Let 147 can be written in different for using the same digits. foe example 147, 1.47.14.7,0.147,0.0147 etc
simillarly 16 can be written as 16,1.6,0.16 etc
using these numbers we can produce the result 2.352. The produt of two numbers result become a decimal number depends on the two numbers.
So we can write 1.47 × 1.6 =2.352 and 0.147 × 16 = 2.352
Answer:
The group that has greater value of relative dispersion is the smokers group, as the coefficient of variationof their data is bigger than the coefficient of variation of the non-smokers group data.
CV smokers: 0.387
CV non-smokers: 0.234
Step-by-step explanation:
We will calculate the relative dispersion of each data set with its coefficient of variation (ratio of the standard deviation to the arithmetic mean).
Then, first we calculate the mean and standard deviation for the smokers data:
Mean: 43.7
Standard deviation: 286.5
The mean and standard deviation for the non-smokers is:
Mean: 30.3
Standard deviation: 50.9
Now, we can calculate the coefficient of variation:
CV smokers:
CV non-smokers: