<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.
Supponiamo che due variabili x e y siano inversamente proporzionali; allora possiamo rappresentarli come x ∝ 1 / y. Ciò significa che se il valore di x aumenta, il valore di y diminuisce e viceversa.
Suppose two variables x and y are inversely proportional; then we can represent them as x ∝ 1/y. That means, if the value of x increases, then the value of y decreases and vice versa.
Answer:
Hence 48 outfits can Bill create with the clothes he purchased.
Step-by-step explanation:
Now the given are,
8 shirts,
4 pairs of shorts,
2 pairs of pants.
Here we have to find the outfits can Bill create with the clothes he purchased:
8 * (4+2) = 48.
Answer:
16
Step-by-step explanation:
Since there are 24 yellow fish and the ratio of the yellow fish to the red fish is 3:2. Then we know that 24/3=8. This means that 1 is equal to 8 fish. Since there are 2 ones for the red fish, we times 8 by 2 to get 16.
