CPhill

They mean the same thing......  asin, arcsin, sin^-1    all denote the inverse sine

It's just to help you appreciate the Power of Infinity....!!!!

If you go to the "Formulary" Tab on the onsite calculator, you will see a menu choice "Cylinder".....click on this and fill the info in the problem into the boxes....it will automatically calculate the volume for you....

I could give you the answer......but it's neater to play around with the app.....try it out....!!!!!

For the first one  x can be any real number.....so the domain is (-∞, ∞)

The range is just [5,∞ ) since this is the basic absolute value graph shifted up by 5 units

For the second one, the domain is the same as the frist

The range is [0,∞ )  ....it is the basic absolute value graph shifted to the right by 3 units

I just know them as vertical angles.....but I don't know...perhaps they are termed differently in other places......

What do you want us to do with this???

They can be !!!

Notice the pic......

Notice that CEB and AED are vertical angles and are both obtuse  (> 90 degrees)

60t + 90 + 90t  =

150t + 90

300 (1.02)^12  = about 380.47