A couple math problems
Here are a few questions I need help with:
If sinx+cosx=Acos(x-B) for all real x where A and B are positive real numbers fund the maximum value of A+B.
For this one I think that I have to check all possible angles that fit with the rules given in order to isolate the values of A and B
Solve the inequality ee^x-e>0 (It's a power to a power).
Not sure about this one.
If f(x)=log(x!-20),where x is a natural number, what is the value of f-1(2)?
I know that x! is the factorial (1*2*...*x)
I inversed f(x) into f-1(x!)=10x+20 (Not sure if i'm right, most likely not.)
Ended up with f-1(2!)=10x+20 {equals to 10x=-18}
Here are a few questions I need help with:
If sinx+cosx=Acos(x-B) for all real x where A and B are positive real numbers fund the maximum value of A+B.
For this one I think that I have to check all possible angles that fit with the rules given in order to isolate the values of A and B
Solve the inequality ee^x-e>0 (It's a power to a power).
Not sure about this one.
If f(x)=log(x!-20),where x is a natural number, what is the value of f-1(2)?
I know that x! is the factorial (1*2*...*x)
I inversed f(x) into f-1(x!)=10x+20 (Not sure if i'm right, most likely not.)
Ended up with f-1(2!)=10x+20 {equals to 10x=-18}
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