Answer:converge at ![I=\frac{1}{3}](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
Given
Improper Integral I is given as
![I=\int^{\infty}_{3}\frac{1}{x^2}dx](https://tex.z-dn.net/?f=I%3D%5Cint%5E%7B%5Cinfty%7D_%7B3%7D%5Cfrac%7B1%7D%7Bx%5E2%7Ddx)
integration of
is -![\frac{1}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%7D)
![I=\left [ -\frac{1}{x}\right ]^{\infty}_3](https://tex.z-dn.net/?f=I%3D%5Cleft%20%5B%20-%5Cfrac%7B1%7D%7Bx%7D%5Cright%20%5D%5E%7B%5Cinfty%7D_3)
substituting value
![I=-\left [ \frac{1}{\infty }-\frac{1}{3}\right ]](https://tex.z-dn.net/?f=I%3D-%5Cleft%20%5B%20%5Cfrac%7B1%7D%7B%5Cinfty%20%7D-%5Cfrac%7B1%7D%7B3%7D%5Cright%20%5D)
![I=-\left [ 0-\frac{1}{3}\right ]](https://tex.z-dn.net/?f=I%3D-%5Cleft%20%5B%200-%5Cfrac%7B1%7D%7B3%7D%5Cright%20%5D)
![I=\frac{1}{3}](https://tex.z-dn.net/?f=I%3D%5Cfrac%7B1%7D%7B3%7D)
so the value of integral converges at ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Let M=macaws lifespan and D=dogs lifespan
M=5D
70=5D
If you want to know the dogs average lifespan then solve for D which is 14years.
Answer:
55
Step-by-step explanation:
20% is the same as 1/5, so we can multiply 11 by 5:
11*5=55