(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)
Answer:
c) -1/2
Step-by-step explanation:
1-3/2-(-2)= -1/2
Answer:
16896
Step-by-step explanation:
3×1×11×512
=16896
Answer:
yes
Step-by-step explanation:
There are several ways to go at this.
My first choice is to use a graphing calculator. It shows the function has a zero at x=5, so x-5 is a factor.
Another good choice is to use synthetic division (2nd attachment). If the remainder is zero, then x-5 is a factor. It is and it is.
__
You can also evaluate the function at x=5. The remainder theorem tells you that if the value is zero, then x-5 is a factor. Evaluating the polynomial written in Horner form is a lot like synthetic division.
(((x -4)x -15)x +58)x -40 for x=5 is ... (-10·5 +58)5 -40 = 40-40 = 0
The value of h(5) is zero, so x-5 is a factor of h(x).
A) vertical angles
B) same side interior angles
C) alternate interior angles
D) corresponding angles