<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:
Check attachment for the diagram
Step-by-step explanation:
Given two points A and B in the diagram attached, we see that exactly one line exists between these points.
Answer:
C. The statement is an equation because there is an equality symbol.
Step-by-step explanation:
Equation:
Combination of terms joined by the sign minus, plus, multiplication, and division and has equality sign.
Example
5x+45=-5
Term:
A Numbers. (Only)
Example:
9
Combination of a number and a variable joined by multiplication or division.
Example:
9x, 6ab, 10n
Variable:
a symbol that is written with a number or a term.
6ab
Expression:
Terms joined by the sign plus or minus
Hope this helps ;)❤❤❤
Answer:
(4;-1)
Step-by-step explanation:
A(-4;2)
B(-2;-1)
C(1;1)
D(-4;-1)
