Answer:
6
Step-by-step explanation:
The rational root theorem states that the roots must be factors of p/q
where p is the constant and q is the coefficient of the highest order term
p = 8 which has factors ±1, ±2,±4,±8
q = 1 which has factors ±1
The possible roots are ±1, ±2,±4,±8
--------------------
±1
which simplifies to
±1, ±2,±4,±8
6 is not a possible root
(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:
<h2> <em><u>180</u></em><em><u>0</u></em><em><u>0</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em><em><u> </u></em>
Back of lot of the trapezoid = 175
Front of lot of the trapezoid = 185
Length of lot of the trapezoid = 100
<em><u>Therefore</u></em><em><u>,</u></em><em><u> </u></em>
Area of the given trapezoid
- <em>[</em><em>On</em><em> </em><em>putting</em><em> </em><em>values</em><em>]</em>
- <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>
= 360 × 50
- <em>[</em><em>On</em><em> </em><em>multiplying</em><em>]</em>
= 18000
<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em>
<em><u>The</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>area</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>given</u></em><em><u> </u></em><em><u>trapezoid</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>180</u></em><em><u>0</u></em><em><u>0</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer: 641
Step-by-step explanation:
100m + 310m= 410m + 1.5km=1910
1910 - 1269= 641
Answer:
The answer to your question is: x = -1
Step-by-step explanation:
Data
slope of l = x
slope of m = x +2
they are ⊥
Process
If they are ⊥, then, x + 2 = - 1/x
x(x + 2) = -1
x² + 2x = -1
x² + 2x + 1 = 0
(x + 1)² = 0
x + 1 = 0
x = -1