If a function is defined as
where both 
are continuous functions, then 
is also continuous where defined, i.e. where 
So, in your case, this function is continous everywhere, except where
To solve this equation, we can use the formula 
It means that, if the leading terms is 1, then the x coefficient is the opposite of the sum of the roots, and the constant term is the product of the roots.
So, we're looking for two terms whose sum is 7, and whose product is 12. These numbers are easily found to be 3 and 4.
So, this function is continuous for every real number different than 3 or 4.
Answer:
Blank 1: 40
Blank 2: 10
Step-by-step explanation:
You can start by representing the speed of the water as x and the speed of the dolphin as y, and writing an equation.
y+x=50
y-x=30
Adding these two equations together, you get:
2y=80
y=40 for the speed of the dolphin in still water. Now, you an use one of the previous equations to find the speed of the current.
40-x=30
x=10
Hope this helps!
Answer:WHERE IS IT
Step-by-step explanation:
The second option i believe is correct
Answer:
960vol cavalieri's principle applies
Step-by-step explanation:
8x6x20 for vol
"Cavalieri's Principle. If, in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal "(Kern and Bland 1948)
both same height both equal in all ways
