For this case we have the following quadratic equation:

The solutions will be given by:

Where:

Substituting the values we have:

We have two roots:

ANswer:

Answer:
In the picture
Step-by-step explanation:
I hope that it's a clear explanation.
Answer: 3253
Step-by-step explanation:
Given : A test requires that you answer either part A or part B.
Part A consists of 7 true-false questions.
i.e. there are 2 choices to answer each question.
Now, the number of ways to answer Part A :
(1)
Part B consists of 5 multiple-choice questions with one correct answer out of five.
i.e. there are 5 choices to answer each question.
Now, the number of ways to answer Part B :
(2)
Now, the number of different ways to completed answer sheets are possible=
[Add (1) and (2) ]
(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