<span>h<span>(t)</span>=<span>t<span>34</span></span>−3<span>t<span>14</span></span></span>
Note that the domain of h is <span>[0,∞]</span>.
By differentiating,
<span>h'<span>(t)</span>=<span>34</span><span>t<span>−<span>14</span></span></span>−<span>34</span><span>t<span>−<span>34</span></span></span></span>
by factoring out <span>34</span>,
<span>=<span>34</span><span>(<span>1<span>t<span>14</span></span></span>−<span>1<span>t<span>34</span></span></span>)</span></span>
by finding the common denominator,
<span>=<span>34</span><span><span><span>t<span>12</span></span>−1</span><span>t<span>34</span></span></span>=0</span>
<span>⇒<span>t<span>12</span></span>=1⇒t=1</span>
Since <span>h'<span>(0)</span></span> is undefined, <span>t=0</span> is also a critical number.
Hence, the critical numbers are <span>t=0,1</span>.
I hope that this was helpful.
Answer: 24, c
Step-by-step explanation:
Looked it up
There would be four sides, three around and the bottom base <span />
Answer:
1/13, 12/13
Step-by-step explanation:
There are 4 aces in a 52 card deck so P(Ace) = 4 / 52 = 1 / 13.
There are 52 - 4 = 48 cards that are not aces out of the whole 52 cards in the deck so P(not Ace) = 48 / 52 = 12 / 13.
Answer:
x = 28/3
Step-by-step explanation:
3x - 1 = 27
Add 1 to each side
3x - 1+1 = 27+1
3x = 28
Divide by 3
3x/3 = 28/3
x = 28/3
