Answer:
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Answer:

So then the integral converges and the area below the curve and the x axis would be 5.
Step-by-step explanation:
In order to calculate the area between the function and the x axis we need to solve the following integral:

For this case we can use the following substitution
and we have 

And if we solve the integral we got:

And we can rewrite the expression again in terms of x and we got:

And we can solve this using the fundamental theorem of calculus like this:

So then the integral converges and the area below the curve and the x axis would be 5.
Answer:
length is 15.5 and the width is 12.5
Step-by-step explanation:
Length rectangle = 3cm. longer than its width.
Rectangle perimeter = 56 cm.
find its dimensions?
P = 2L +2w
L= w + 3
P= 56
P = 2L +2w
56 = 2(w+3) +2(w)
56 = 2w +6 + 2w
4w= 56 - 6
4w = 50
w = 50/4
w = 12.5
L= 12.5 +3 = 15.5
L= 15.5
Solution:
Length= 15.5 cm
Width = 12.5 cm
i know it looks complex but i hope this helps :)
Answer:
14.6
Step-by-step explanation: