<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:
Option A : y = 40x - 85 is the correct answer.
Step-by-step explanation:
Given that:
Cost of purchasing supplies = $85
Cost charged for cleaning a pool = $40
Let,
x be the number of pools cleaned.
y be the profit
Profit = Cost of pools cleaned - purchase price of supplies
y = 40x - 85
Hence,
Option A : y = 40x - 85 is the correct answer.
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Calculate The mode of this set of numbers 2,5,1,6,3,8,5,9,2,4,7
koban [17]
The mode is 5 & 2 because they both appear the most and the same amount of times that’s why they’re both the mode.
Answer:
6 bucks
Step-by-step explanation:
210/35 = 6
210 dollars/ 35 hours = 6 dollars er hour
