<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:
c=3
Step-by-step explanation:
4c+12-2c=5c-3 1. combine like terms
2c+12=5c-3 2. -5c on both sides
-3c+12=3 3. -12 on both sides
-3c=-9 4. /-3 on both sides
c=3
Answer: The answer is A.
Step-by-step explanation:
Answer:
oxfords cornmarket is famous for shopping ,sure, but some locals perfer the shops in jericho.
Step-by-step explanation:
Answer:
R(x) = -0.05x^2 +80x
Step-by-step explanation:
Given the two points (x, p), the equation for the price associated with a given demand quantity can be written using the 2-point form:
p = (p2 -p1)/(x2 -x1)(x -x1) +p1
p = (40 -50)/(800 -600)(x -600) +50
p = -0.05x +80 . . . . simplify
Then the revenue equation is ...
R(x) = xp
R(x) = -0.05x^2 +80x
