# Tagged Questions

Linear, exponential, logarithmic, polynomial, rational, and trigonometric functions, conic sections, binomial, surds, graphs and transformations of graphs, equation- and system-solving, and other symbolic-manipulation topics.

105 views

105 views

### Does $[0.9999…]=1$? [duplicate]

We all know that $0.99999...=1$ So does that imply $[0.99999...]=1?$ Or do we consider it as $0?$ My doubt is: any gif of the form $[0.xyz...]=0$. If $[0.99999...]=1$ won't that be contradicting? ...
99 views

64 views

### Find the value of $3^{\log_4(5)} - 5^{\log_4(3)}$. [closed]

Find the value of $3^{\log_4(5)} - 5^{\log_4(3)}$. Is there any property that can help here?
46 views

### $(x^2-5x+1)^2-(8x^2-40x+8)(y^2-3)(y^2+3)+16(y^8-18y^4+81) > 0$ for all values of the variables [closed]

Help me to prove $$(x^2-5x+1)^2-(8x^2-40x+8)(y^2-3)(y^2+3)+16(y^8-18y^4+81) > 0 \ \forall x, y$$
150 views

### What is the point of finding a limit? Does limit give us a real/exact value?

I wonder whether limit gives us an exact value. I mean look at this example: $$\lim_{x\rightarrow 2} \frac{x^2 - 4}{x - 2}$$ is 4 , right? But what if we do not use limit. Obviously at $x = 2$, it ...
38 views

21 views

### Angle of Revolution for a truck

I am doing a problem out of my textbook, which I don't understand. In my Alg2/Trig class, we are learning about angular speed, and linear speed in terms of angular speed. I can't figure out how to ...
77 views

48 views

### If $f(3) = 5$, write an ordered pair that must be on the graph of $y=f(x+5)+1$ [closed]

Can anyone please help me to understand how to solve this problem? Thank you. If $f(3) = 5$, write an ordered pair that must be on the graph of $y=f(x+5)+1$.