Answer:
A = 4
B = 2
2* (6 * 4) = 48
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Answer:
8(23) so 184
Step-by-step explanation:
Answer:
2.25 is the correct answer for -36/-16
Step-by-step explanation:
The total height of the building in the picture has been shown as
x + x + 6
That is, the first two storys have been shown as x feet each and the total height is 26 feet.
That means the two x are actually 20 feet, (if you deduct the 6 feet given)
Total height = x + x + 6
26 = x + x + 6
26 = 2x + 6
Subtract 6 from both sides of the equation
26 - 6 = 2x + 6 - 6
20 = 2x
Divide both sides of the equation by 2 and you now have,
20/2 = 2x/2
10 = x
Therefore, te height of each story is 10 feet!
(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
