<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.
The value of the given cone with a volume of 144 has a width is 6 inches.
We have given that,
A box of cereal has a volume of 144 inches squared.
The height of the cereal box is 12 inches, and the depth is 2 inches.
The volume of cone = 144 inches squared.
height=12 inches
depth=2inches
<h3>What is the formula of the cube?</h3>
Area of a cube = V = L * W * H
L-length
W-width
H-height
We have to determine the width cereal box.
Plug the given values in the formula
V = L * W * H
144=2×12×width
Width=144/24
Width=6inches
Therefore the value of the width is 6 inches.
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Answer:
18.5 minutes
Step-by-step explanation:
84(mins) times .22(22%) equals 18.42 which rounds up to 18.5 mins
Answer:
Option A
Step-by-step explanation:
Sin(x) is the same value as cos(y) in the graph.
Answer:
(-2,3)
Step-by-step explanation:
Step 1. Isolate x for 3x + 5y = 9
3x + 5y - 5y = 9 - 5y
3x = 9 - 5y
3x/3 = 9/3 - 5y/3
x= (9-5y)/3
Step 2. Simplify
-3*((9-5y)/3) + 3y = 15
-3*((9-5y)/3) = 9 - 5y = -(-5 + 9) + 3y
-9+5y+3y
-9+8y = 15
Step 3 Isolate y for -9+8y=15
-9+8y+9=15+9
8y=24
8y/8 = 24/8
y=3
Step 4 Substitute y = 3
x = (9-5*3)/3
-(6/3) = (-2)
x = -2
