So basically you have to see how the person is built but in average it will took like 12minutes
(a) By the fundamental theorem of calculus,
<em>v(t)</em> = <em>v(0)</em> + ∫₀ᵗ <em>a(u)</em> d<em>u</em>
The particle starts at rest, so <em>v(0)</em> = 0. Computing the integral gives
<em>v(t)</em> = [2/3 <em>u</em> ³ + 2<em>u</em> ²]₀ᵗ = 2/3 <em>t</em> ³ + 2<em>t</em> ²
(b) Use the FTC again, but this time you want the distance, which means you need to integrate the <u>speed</u> of the particle, i.e. the absolute value of <em>v(t)</em>. Fortunately, for <em>t</em> ≥ 0, we have <em>v(t)</em> ≥ 0 and |<em>v(t)</em> | = <em>v(t)</em>, so speed is governed by the same function. Taking the starting point to be the origin, after 8 seconds the particle travels a distance of
∫₀⁸ <em>v(u)</em> d<em>u</em> = ∫₀⁸ (2/3 <em>u</em> ³ + 2<em>u</em> ²) d<em>u</em> = [1/6 <em>u</em> ⁴ + 2/3 <em>u</em> ³]₀⁸ = 1024
Answer:
48
Step-by-step explanation:
8x3x2= 48
Answer:
It will take 5 hours until it reaches its maximum concentration.
Step-by-step explanation:
The maximum concentration will happen in t hours. t is found when
In this problem
Applying the quotient derivative formula
A fraction is equal to zero when the numerator is 0. So
We use only positive value.
It will take 5 hours until it reaches its maximum concentration.
Answer:
8/25
Step-by-step explanation:
There are 25 different amount of points, but there are 8 in the 8-11 points category. That means that most likely Nate will score 8-11 with a 8/25 chance that he will.
