Answer:
Step-by-step explanation:
How do I do the proof?
1 answer:
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Answer and Step-by-step explanation:
The volume of the resulting solid is shown below:-
The lines in for
y can be y = sqrt(x) using square root
and y = x ÷ 5
In this, the intersect is done when sqrt(x) = x ÷ 5 using square root
Now
x = x^2 ÷ 25
x = 0
or
x = 25
so outermost is x ÷ 5 innermost is sqrt(x) using square root
Therefore A is
= integral of pi ( (x ÷ 5-5)^2 - (sqrt(x)-5)^2) using square root
from 0 to 25
= 625 pi ÷ 6
Answer:
(1, -1), (5, -3)
Step-by-step explanation:
It is convenient to graph the solution space and plot the points.
You can also try the points in the inequality one by one (or all together).
_____
Here is the "all together" trial.
... {-3, 12, -2, -1, -3} - 2×{-6, 7, 0, 1, 5} ≤ -3 . . . . . use lists for x and y values
... {-3, 12, -2, -1, -3} - {-12, 14, 0, 2, 10} ≤ -3 . . . . multiply the x list by 2
... {9, -2, -2, -3, -13} ≤ -3 . . . . . . . . . . . . . . . . . . . . perform the subtraction
The inequality is true for the last two values, corresponding to points ...
... (1, -1) and (5, -3)
