SOLUTION: 1) prove that: (17)^14 >(31)^11 2) Find: int(x^2/sin(x))dx

Algebra ->  Graphs -> SOLUTION: 1) prove that: (17)^14 >(31)^11 2) Find: int(x^2/sin(x))dx       Log On


   

Question 1121773: 1) prove that: (17)^14 >(31)^11
2) Find: int(x^2/sin(x))dx
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

I will answer question 1) only.


There are two ways to prove this statement. 


a)  Calculate directly  17%5E14  and  31%5E11,  using a calculator or your computer; then compare the two numbers.


b)  Calculate  14*log(17)  and  11*log(31);  then compare the two numbers.


    In the last case, you can use natural logarithms or logarithms at any other base greater than 1.