Answer:
The volume of the solid will be = 134.1 cubic units.
Step-by-step explanation:
The base of a solid has the equation of a circle x² + y² = 16 in the xy-plane. Cross-sections perpendicular to the y-axis of the solid are semicircles.
Therefore, the solid will be the shape of a hemisphere.
Now, the radius of the hemisphere will be 4 units.
{Since the base of the hemisphere is on the xy-plane and have equation
x² + y² = 4²}
Therefore, the volume of the solid will be = cubic units. (Answer)
1. 0.5x+3.5
Slope: 0.5
y-intercept: (0,3.5)
x: (-7,0)
y: (0,3.5)
Step-by-step explanation:
these are composite functions : a function of a function of a value.
this can have many more "staging" levels.
in essence, we calculate the functional result of the innermost function (with the given value) first, use that functional result as input value for the next function to the left. use that functional result as input value for the next function to the left. ...
f(g(x)) means therefore we start with g(x).
g(f(x)) means we start with f(x).
that is all. it is really simple. and actuality fun (like a maze - remember e.g. computer games, where you walked through one door and excited through a totally different door ?).
f(g(0)) =
so, we need g(0) = 4 - 0² = 4
and now we calculate
f(4) = 7×4 + 6 = 28 + 6 = 34
therefore,
f(g(0) = 34
g(f(0)) =
so, we need f(0) = 7×0 + 6 = 6
and now we calculate
g(6) = 4 - 6² = 4 - 36 = -32
therefore,
g(f(0)) = -32
Answer:
11 and 23
Step-by-step explanation:
Answer:
36
Step-by-step explanation: