Answer:
762 days
Step-by-step explanation:
Given
Let the rate be R.
So the rate change with time is represented as:
So:
To get the number of insects between day 0 and day 3, we need to integrate dR and set the bounds to 0 and 3
i.e.
becomes
Integrate
![R = 200t + \frac{10t^2}{2} + \frac{13t^3}{3} [3,0]](https://tex.z-dn.net/?f=R%20%3D%20200t%20%2B%20%5Cfrac%7B10t%5E2%7D%7B2%7D%20%2B%20%5Cfrac%7B13t%5E3%7D%7B3%7D%20%5B3%2C0%5D)
Solve for R by substituting 0 and 3 for t
<em>The population of insect between the required interval is 762</em>
Answer:
sin²Ф
Step-by-step explanation:
I doubt that you actually meant "cos 0" ... that has a value of 1.
If you meant (1-cos Ф)(1+cos Ф), then this product is 1 - cos²Ф.
That, in turn, is equal to sin²Ф
i'm not sure how to help with the second thing, but for what looks like a quizzes, i think it should be 186
Question 5:
the circumference is given by:
C = 2 * pi * r
Where,
r: radio of the ball
Substituting values we have:
22 = 2 * pi * r
Clearing r we have:
r = 11 / pi
The surface area is given by:
A = 4 * pi * r ^ 2
Substituting values we have:
A = 4 * 3.14 * (11 / 3.14) ^ 2
A = 154 in ^ 2
Answer:
The surface area of the balloon is:
A = 154 in ^ 2
Question 8:
For this case we have that the scale factor is given by:
V1 = (k ^ 3) * V2
Substituting values we have:
729 = (k ^ 3) * 2744
Clearing k:
k = (729/2744) ^ (1/3)
k = 9/14
Answer:
the scale factor of a cube with volume 729 m ^ 3 to a cube with volume 2,744 m ^ 3 is:
9:14
Question 2:
The volume of the cylinder is given by:
V = pi * r ^ 2 * h
Where,
r : radio
h: height
Substituting values:
V = pi * (2.8) ^ 2 * (13)
V = 101.92 * pi
Answer:
The volume of the cylinder is:
V = 101.92 * pi
option 3
Answer:
3rd option
Step-by-step explanation:
x < 7
means that x cannot equal 7 but all values less than 7
since not equal at either end of interval use parenthesis, not brackets , then
(- ∞ , 7 ) ← is the required interval
