Answer:
- (-1, -32) absolute minimum
- (0, 0) relative maximum
- (2, -32) absolute minimum
- (+∞, +∞) absolute maximum (or "no absolute maximum")
Step-by-step explanation:
There will be extremes at the ends of the domain interval, and at turning points where the first derivative is zero.
The derivative is ...
h'(t) = 24t^2 -48t = 24t(t -2)
This has zeros at t=0 and t=2, so that is where extremes will be located.
We can determine relative and absolute extrema by evaluating the function at the interval ends and at the turning points.
h(-1) = 8(-1)²(-1-3) = -32
h(0) = 8(0)(0-3) = 0
h(2) = 8(2²)(2 -3) = -32
h(∞) = 8(∞)³ = ∞
The absolute minimum is -32, found at t=-1 and at t=2. The absolute maximum is ∞, found at t→∞. The relative maximum is 0, found at t=0.
The extrema are ...
- (-1, -32) absolute minimum
- (0, 0) relative maximum
- (2, -32) absolute minimum
- (+∞, +∞) absolute maximum
_____
Normally, we would not list (∞, ∞) as being an absolute maximum, because it is not a specific value at a specific point. Rather, we might say there is no absolute maximum.
Answer:
<em>35 words per minute. </em>
Step-by-step explanation:
To find the answer you have to divide <em>Minutes</em> by <em>Words Typed</em>.
105 ÷ 3 = 35.
175 ÷ 5 = 35.
315 ÷ 9 = 35.
<em>Therefore, our answer is 35.</em>
A. it is a hexagon (there are 6 sides) B. using the equation (n-2)180 (where n is the number of sides we get (6-2)180=4*180=720. divide 720 by 6 to get 120 for each angle of the hexagon. (it has no irregularities in it's shape so that number will be correct for them all.) C. to get that just divide 39 by 6 to get 6.5 in per side. Hope that helps:)
Answer:
x=0
Step-by-step explanation:
The line x=4 is a vertical line through the x-axis at 4. A line parallel to it will also be a line through the x-axis. It has the form x=a where a is the x-coordinates of any points on the line. Since the line crosses through (0,1), the equation is x=0.