We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575
</span> For the domain we have:
<span> </span>We match zero:
-4.92t ^ 2 + 17.69t + 575 = 0
We look for the roots:
t1 = -9.16
t2 = 12.76
We are left with the positive root, so the domain is:
[0, 12.76]
For the range we have:
We derive the function:
h '(t) = - 9.84t + 17.69
We equal zero and clear t:
-9.84t + 17.69 = 0
t = 17.69 / 9.84
t = 1.80
We evaluate the time in which it reaches the maximum height in the function:
h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
h (1.80) = 590.90
Therefore, the range is given by:
[0, 590.9]
Answer:
the domain and range are:
domain: [0, 12.76] range: [0, 590.9]
Answer:
Pretty sure you are correct.
Step-by-step explanation:
Answer:
cosθ = sinθ/tanθ
Step-by-step explanation:
tanθ = sinθ/cosθ (Given)
cosθ(tanθ) = sinθ (Mulitplied cosθ on both sides)
cosθ = sinθ/tanθ (Divided tanθ on both sides)
Answer:
Since moderate user got 5 to 7 hours of sleep, that means extreme users got less than 7 hours of sleep.
Hence no extreme user had 5 to 7 hours of sleep.
And mimimal users had greater than 7 hours of sleep.