For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
Answer:
63.5
Step-by-step explanation:
If one didn't take a 10 minute break he could drive 60 mph totalling 180 minutes but since he did and 180 - 10 = 170. He/she has to drive 180 miles in 170 min. so we take so we divde 180/170 and multiply by 60. If you round it to the nearest tenth you get 63.5
<span>fixed annual membership fee of $20
</span><span>$2 per video game rented.
</span><span>Let f(n) represent the total annual cost of renting n video games
so
f(n) = 20 + 2n
if </span><span>increased by $15 the next year
then
f(n) = </span>20 + 2n + 15
f(n) = 2n + 35
answer
<span>f(n) = 2n + 35 (first choice)</span>
Answer:
c2=10
Step-by-step explanation:
8^2+6^2=c2
64+36=120
c2=square root of 120..which is 10
Answer:
g(1) = 0
Step-by-step explanation:
To evaluate g(1) , substitute x = 1 into g(x), that is
g(1) = 4 - 2(3 - 1)
= 4 - 2(2)
= 4 - 4
= 0
