There are two ways to work this out: normal variables or using "imaginary" numbers.
Normal variables:
Imaginary numbers:
Using the result from earlier:
Now since
, then the expression becomes:
Answer:
2.794
Step-by-step explanation:
Recall that if G(x,y) is a parametrization of the surface S and F and G are smooth enough then
F can be written as
F(x,y,z) = (xy, yz, zx)
and S has a straightforward parametrization as
with 0≤ x≤1 and 0≤ y≤1
So
we also have
and so
we just have then to compute a double integral of a polynomial on the unit square 0≤ x≤1 and 0≤ y≤1
=1/3+2-2/9-2/5+3/2-1/4-1/6 = 2.794
Answer:
81000 people went to Bonnaroo.
192000 people went to Lollapalooza.
Step-by-step explanation:
Given:
Total number of people attending festivals,
Number of people attending Lollapalooza is 30,000 more than twice the people attending Bonnaroo.
Unknown:
Number of people attending Lollapalooza and Bonnaroo.
Let the number of people attending Bonnaroo be .
Therefore, the number of people attending Lollapalooza is equal to
Evaluate:
Sum of people attending Bonnaroo and Lollapalooza is equal to the total number of people attending the festivals. So,
Substitute and Solve:
Now, we have, .
Substitute 81000 for and solve for the number of people attending both the festivals. This gives,
Number of people attending Bonnaroo =
Number of people attending Lollapalooza =
Therefore, 81000 people went to Bonnaroo and 192000 people went to Lollapalooza.
Answer:
The area of a triangle= bh/2. Substitute
12(x+6)/2 ≤ 72
12(1/2x+3) ≤ 72
6x+36 ≤ 72
6x ≤ 72-36
6x ≤ 36 Divide both sides by 6
x ≤ 6
x|x ≤6 (read: x, where x is equal or smaller than 6)
Step-by-step explanation:
Answer:
8/3 is a real, rational number Here's the categories: I. Real : Includes all numbers except square roots of negative numbers and fractions with 0 in their denominator A. Rational : a real number expressible as a ratio of whole numbers, or as a decimal have a continuous repeating trend, like 0.3333333, which is the case in this situation a.
(I'm not sure this is the answer your looking for.. but if it is, yw! :)