Choose a convenient order When convened to an iterated integral , the following double integrals are easier to evaluate in one order than the other. Find the best order and evaluate the integral. 28. ∬ R x sec 2 x y d A ; R = { ( x , y ) : 0 ≤ x ≤ π / 3 , 0 ≤ y ≤ 1 }
Choose a convenient order When convened to an iterated integral , the following double integrals are easier to evaluate in one order than the other. Find the best order and evaluate the integral. 28. ∬ R x sec 2 x y d A ; R = { ( x , y ) : 0 ≤ x ≤ π / 3 , 0 ≤ y ≤ 1 }
Solution Summary: The author explains that the given double integral can be rewritten as two types, one by writing x as first and y as second, and the other one is vice versa.
Choose a convenient orderWhen convened to an iterated integral, the following double integrals are easier to evaluate in one order than the other. Find the best order and evaluate the integral.
28.
∬
R
x
sec
2
x
y
d
A
;
R
=
{
(
x
,
y
)
:
0
≤
x
≤
π
/
3
,
0
≤
y
≤
1
}
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Can u give rough map of any room u can choose cm on top
3. We'd like to know the first time when the population reaches 7000 people. First, graph the
function from part (a) on your calculator or Desmos. In the same window, graph the line y =
7000. Notice that you will need to adjust your window so that you can see values as big as
7000! Investigate the intersection of the two graphs. (This video shows you how to find the
intersection on your calculator, or in Desmos just hover the cursor over the point.) At what
value t> 0 does the line intersect with your exponential function? Round your answer to two
decimal places. (You don't need to show work for this part.) (2 points)
Suppose the planet of Tattooine currently has a population of 6500 people and an annual growth rate of
0.35%. Use this information for all the problems below.
1. Find an exponential function f(t) that gives the population of Tattooine t years from now. (3
points)
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