Which kind of function best models the data in the table?
1 answer:
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Answer:
11
Step-by-step explanation:
The average rate of change of function f on interval [a, b] is ...
m = (f(b) -f(a))/(b -a)
Here, that is ...
m = (f(6) -f(2))/(6 -2)
So, we need to evaluate the function at x=6 and x=2. Writing it in "Horner form" makes this easier.
f(x) = (x +3)x -2
f(6) = (6 +3)6 -2 = 54 -2 = 52
f(2) = (2 +3)2 -2 = 10 -2 = 8
Then the slope is ...
m = (52 -8)/4 = 13 -2 = 11
The average rate of change of f(x) from 2 to 6 is 11.
Answer:
Step-by-step explanation:
Consider the tetrahedron enclosed by the coordinate planes and the plane 2x + y + z = 2
Let A be the region obtained by projecting the volume(V) onto the xy-plane.
Similarly, the plane 2x + y + z = 2 intersects with the xy-plane in y = 2 - 2x.
Using the vertical strips, the region A is to the xy-plane can be expressed as:
Thus, the volume of the solid can be calculated as follows;