(a)
<span>p'(25) = -1.179 millions of cells per cubic meter per meter.
The density of plankton cells in millions of cells per cubic meter is
decreasing at a rate of </span><span>1.179 millions of cells per cubic meter per meter.
____________
(b)
The volume is 3·dh, where dh is an infinitesimally small height.
Therefore, the amount of plankton is density * volume.
______
</span>
(c)
The total plankton cells are given by
As 0 ≤ f(h) ≤ u(h) for all h ≥ 0 (f and u are nonnegative), then:
Since ultimately
, that integral can have at most 105. Therefore, the maximum total amount is
____________
(d)
4.5 to 6.5 i think not really shure
Answer:
∠C=90°
∠A=67°
∠B=23°
Step-by-step explanation:
For angle C:
Thales' Theorem states that an angle inscribed across a circle's diameter is always a right angle.
Therefore, since AB is the diameter(hypotenuse) then angle C is the right angle. (90°)
For Angle A:
The measure of arc BC= 134 degrees. We can just use a formula for an inscribed triangle. ∠A = 1/2 (mBC)
∠A= (1/2)134
∠A= 77°
For angle B:
All triangle angles all add up to 180. We can just subtract angles A and C from 180°:
∠B = 180-(90+67)
∠B = 23°