<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:
Cost to rent one tank=226.08 Dollars
Step-by-step explanation:
Radius of the cylindrical tank=3 feet
Height of the tank= 2 feet
Cost to rent one tank= Volume of one tank * cost to rent one cubic feet of volume
Volume of the cylindrical tank:
=
As,
Putting the values in the formula:
Volume of the tank:
Cost to rent one cubic feet= 4 Dollars
Cost to rent 56.52 Cubic feet of one tank;
= 4*56.52
=226.08 Dollars
Answer:
1 5/9
Step-by-step explanation:
30÷4=7.5
45÷7.5=6
you will need about 6 gallons of water to fill it.